{"id":22048,"date":"2023-01-26T14:44:01","date_gmt":"2023-01-26T14:44:01","guid":{"rendered":"https:\/\/blogs.ugto.mx\/rea\/?p=22048"},"modified":"2023-01-30T22:26:43","modified_gmt":"2023-01-30T22:26:43","slug":"clase-digital-8-ondas-vibraciones-y-oscilaciones","status":"publish","type":"post","link":"https:\/\/blogs.ugto.mx\/rea\/clase-digital-8-ondas-vibraciones-y-oscilaciones\/","title":{"rendered":"Clase digital 8. Ondas, vibraciones y oscilaciones"},"content":{"rendered":"\n\n\n<div class=\"wp-block-cover is-light\" style=\"min-height:284px;aspect-ratio:unset;\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"><\/span><img decoding=\"async\" class=\"wp-block-cover__image-background wp-image-22404\" alt=\"\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-daniel-kux-932320.jpg\" data-object-fit=\"cover\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1280\" height=\"745\" class=\"wp-block-cover__image-background wp-image-22404\" alt=\"\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-daniel-kux-932320.jpg\" data-object-fit=\"cover\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-daniel-kux-932320.jpg 1280w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-daniel-kux-932320-300x175.jpg 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-daniel-kux-932320-1024x596.jpg 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/pexels-daniel-kux-932320-768x447.jpg 768w\" sizes=\"auto, (max-width: 1280px) 100vw, 1280px\" \/><\/noscript><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-base-3-color has-text-color has-large-font-size wp-block-paragraph\">Ondas, vibraciones y oscilaciones<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"introduccion\">Introducci\u00f3n<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u00a1Hola admirable estudiante!<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Me da mucho gusto saludarte en esta ocasi\u00f3n, que sin demeritar las anteriores, ya has avanzado mucho en este proceso formativo y eso es raz\u00f3n suficiente para pedirte que contin\u00faes con ese mismo \u00edmpetu por aprender m\u00e1s. Te reitero mis felicitaciones y te doy la bienvenida a la \u00faltima clase digital de esta UDA.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En esta \u00faltima lecci\u00f3n conocer\u00e1s lo que es una onda, sus caracter\u00edsticas y tipos, as\u00ed como su aplicaci\u00f3n en la ingenier\u00eda.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Las ondas mec\u00e1nicas son las perturbaciones f\u00edsicas generadas por una fuente y se propagan a trav\u00e9s de un medio el\u00e1stico material al que hace vibrar sin producir un movimiento resultante en la materia del medio.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">El medio puede ser l\u00edquido, una cuerda de acero, la atm\u00f3sfera, Etc. Las olas de mar son un ejemplo de onda mec\u00e1nica.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Al concluir esta clase digital ser\u00e1s capaz de comprender las caracter\u00edsticas, partes y comportamientos de una onda, as\u00ed como su aplicaci\u00f3n en la ingenier\u00eda para prevenir desastres, cat\u00e1strofes naturales, riesgos en estructuras y facilitar la obtenci\u00f3n de materia prima en la que no se perjudique de forma dr\u00e1stica el medio natural.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Estamos a punto de concluir la unidad de aprendizaje de Mec\u00e1nica Anal\u00edtica, por lo que habr\u00e1s notado la importancia de su aplicaci\u00f3n en los problemas reales de la ingenier\u00eda, generando una sociedad en la que los ingenieros son mucho m\u00e1s productivos y eficientes.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00a1Te invito a comenzar tu \u00faltima sesi\u00f3n!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Desarrollo del tema <\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Onda<\/strong>: Movimiento de una perturbaci\u00f3n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Un ejemplo com\u00fan de onda se aprecia al soltar una piedra sobre un estanque. La onda del agua se mueve desde el punto de origen hacia la orilla, pero el agua no se va con ella.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Los dos tipos principales de ondas son las ondas mec\u00e1nicas y las ondas electromagn\u00e9ticas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Las ondas electromagn\u00e9ticas no requieren de un medio para propagarse. Ejemplos: luz visible, ondas de radio, se\u00f1ales de televisi\u00f3n y rayos X.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Las ondas mec\u00e1nicas requieren:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Alguna fuente de perturbaci\u00f3n.<\/li>\n\n\n\n<li>Un medio que contenga elementos que sean factibles de perturbaci\u00f3n.<\/li>\n\n\n\n<li>Alg\u00fan mecanismo f\u00edsico a partir del cual los elementos del medio puedan influirse mutuamente.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Las ondas mec\u00e1nicas pueden ser:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><br><strong><em>Transversales<\/em>.<\/strong> Si el movimiento de las part\u00edculas es perpendicular a la direcci\u00f3n de propagaci\u00f3n de la onda misma. Ejemplos: una cuerda en tensi\u00f3n que se hace oscilar. Las ondas de luz, aunque no sean ondas mec\u00e1nicas, tambi\u00e9n son ondas transversales.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.09.56.png\" alt=\"\" class=\"wp-image-22413\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"971\" height=\"303\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.09.56.png\" alt=\"\" class=\"wp-image-22413\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.09.56.png 971w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.09.56-300x94.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.09.56-768x240.png 768w\" sizes=\"auto, (max-width: 971px) 100vw, 971px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><strong><em>Longitudinales<\/em>.<\/strong> Si el movimiento de las part\u00edculas es paralelo a la direcci\u00f3n de propagaci\u00f3n de la onda. Ejemplos: las ondas de un resorte, las ondas sonoras.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Las ondas transportan energ\u00eda a trav\u00e9s de un medio material.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Las ondas tambi\u00e9n pueden clasificarse como uni, bi o tridimensionales, de acuerdo con el n\u00famero de dimensiones en que propaguen la energ\u00eda. Las ondas que se mueven a lo largo de la cuerda o del resorte son unidimensionales, las ondas superficiales o rizos de agua, que se forman al arrojar una piedra a un estanque tranquilo, son bidimensionales. Las ondas de sonido y de luz que viajan radialmente partiendo de una peque\u00f1a fuente son tridimensionales.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.24.29.png\" alt=\"\" class=\"wp-image-22421\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"778\" height=\"307\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.24.29.png\" alt=\"\" class=\"wp-image-22421\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.24.29.png 778w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.24.29-300x118.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.24.29-768x303.png 768w\" sizes=\"auto, (max-width: 778px) 100vw, 778px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Las ondas tridimensionales que viajan desde un punto abajo de la superficie de la Tierra, donde se presenta un terremoto, son de ambos tipos, transversales y longitudinales.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ondas viajeras unidimensionales<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Al tirar de una cuerda se forma un pulso que se va desplazando a lo largo de la cuerda con velocidad constante&nbsp;<em>v.<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.35.33.png\" alt=\"\" class=\"wp-image-22428\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1257\" height=\"946\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.35.33.png\" alt=\"\" class=\"wp-image-22428\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.35.33.png 1257w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.35.33-300x226.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.35.33-1024x771.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.35.33-768x578.png 768w\" sizes=\"auto, (max-width: 1257px) 100vw, 1257px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.38.25-1024x778.png\" alt=\"\" class=\"wp-image-22432\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"778\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.38.25-1024x778.png\" alt=\"\" class=\"wp-image-22432\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.38.25-1024x778.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.38.25-300x228.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.38.25-768x583.png 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.38.25.png 1265w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ondas arm\u00f3nicas (modelo de onda progresiva)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Una onda arm\u00f3nica es una funci\u00f3n que tiene forma senoidal o sinusoidal.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Caracter\u00edsticas principales y representaciones matem\u00e1ticas del modelo de an\u00e1lisis de una onda arm\u00f3nica.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Cresta: <\/strong>Es un punto en que el desplazamiento del elemento de su posici\u00f3n normal est\u00e1 m\u00e1s alto.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Valle: <\/strong>Es el punto m\u00e1s bajo de la onda.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Longitud de onda:<\/strong> es la distancia m\u00ednima entre dos puntos cualesquiera en ondas adyacentes.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Periodo T:<\/strong> Es el intervalo de tiempo requerido para que dos puntos id\u00e9nticos de ondas adyacentes pasen por un punto.<br><strong>Amplitud A:<\/strong> Es la m\u00e1xima posici\u00f3n de un elemento del medio relativo a su posici\u00f3n de equilibrio.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.41.35.png\" alt=\"\" class=\"wp-image-22436\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1262\" height=\"673\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.41.35.png\" alt=\"\" class=\"wp-image-22436\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.41.35.png 1262w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.41.35-300x160.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.41.35-1024x546.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.41.35-768x410.png 768w\" sizes=\"auto, (max-width: 1262px) 100vw, 1262px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.42.28.png\" alt=\"\" class=\"wp-image-22437\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1252\" height=\"688\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.42.28.png\" alt=\"\" class=\"wp-image-22437\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.42.28.png 1252w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.42.28-300x165.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.42.28-1024x563.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.42.28-768x422.png 768w\" sizes=\"auto, (max-width: 1252px) 100vw, 1252px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.44.18.png\" alt=\"\" class=\"wp-image-22438\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1252\" height=\"548\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.44.18.png\" alt=\"\" class=\"wp-image-22438\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.44.18.png 1252w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.44.18-300x131.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.44.18-1024x448.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.44.18-768x336.png 768w\" sizes=\"auto, (max-width: 1252px) 100vw, 1252px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.56.09.png\" alt=\"\" class=\"wp-image-22443\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1256\" height=\"911\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.56.09.png\" alt=\"\" class=\"wp-image-22443\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.56.09.png 1256w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.56.09-300x218.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.56.09-1024x743.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-15.56.09-768x557.png 768w\" sizes=\"auto, (max-width: 1256px) 100vw, 1256px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.01.59.png\" alt=\"\" class=\"wp-image-22447\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1267\" height=\"788\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.01.59.png\" alt=\"\" class=\"wp-image-22447\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.01.59.png 1267w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.01.59-300x187.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.01.59-1024x637.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.01.59-768x478.png 768w\" sizes=\"auto, (max-width: 1267px) 100vw, 1267px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.04.33-1024x765.png\" alt=\"\" class=\"wp-image-22448\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"765\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.04.33-1024x765.png\" alt=\"\" class=\"wp-image-22448\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.04.33-1024x765.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.04.33-300x224.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.04.33-768x574.png 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.04.33.png 1246w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.06.20.png\" alt=\"\" class=\"wp-image-22449\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1252\" height=\"794\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.06.20.png\" alt=\"\" class=\"wp-image-22449\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.06.20.png 1252w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.06.20-300x190.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.06.20-1024x649.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.06.20-768x487.png 768w\" sizes=\"auto, (max-width: 1252px) 100vw, 1252px\" \/><\/noscript><figcaption class=\"wp-element-caption\"><strong><sub>Superposici\u00f3n e interferencia de ondas<\/sub><\/strong><br><sub>El principio de superposici\u00f3n indica que si dos o m\u00e1s ondas viajeras se mueven a trav\u00e9s de un medio, la funci\u00f3n de onda en cualquier punto es la suma algebraica de los valores de las funciones de onda de las ondas individuales.<\/sub><br><br><sub>La combinaci\u00f3n de ondas separadas en la misma regi\u00f3n de espacio para producir una onda resultante se llama <\/sub><strong><sub>interferencia<\/sub><\/strong><sub>.<\/sub><\/figcaption><\/figure>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.13.03.png\" alt=\"\" class=\"wp-image-22451\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"949\" height=\"249\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.13.03.png\" alt=\"\" class=\"wp-image-22451\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.13.03.png 949w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.13.03-300x79.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.13.03-768x202.png 768w\" sizes=\"auto, (max-width: 949px) 100vw, 949px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><sub>La superposici\u00f3n causada por los desplazamientos de dos pulsos que est\u00e1n en la misma direcci\u00f3n, se le conoce como <\/sub><strong><sub>interferencia constructiva<\/sub><\/strong><sub>.La superposici\u00f3n causada por los desplazamientos de dos pulsos que est\u00e1n en direcciones opuestas se le conoce como <\/sub><strong><sub>interferencia destructiva<\/sub><\/strong><sub>.<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.14.12-1024x305.png\" alt=\"\" class=\"wp-image-22452\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"305\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.14.12-1024x305.png\" alt=\"\" class=\"wp-image-22452\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.14.12-1024x305.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.14.12-300x89.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.14.12-768x229.png 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-24-a-las-16.14.12.png 1253w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.04.04.png\" alt=\"\" class=\"wp-image-22524\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1516\" height=\"933\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.04.04.png\" alt=\"\" class=\"wp-image-22524\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.04.04.png 1516w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.04.04-300x185.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.04.04-1024x630.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.04.04-768x473.png 768w\" sizes=\"auto, (max-width: 1516px) 100vw, 1516px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.04.57.png\" alt=\"\" class=\"wp-image-22525\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1516\" height=\"431\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.04.57.png\" alt=\"\" class=\"wp-image-22525\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.04.57.png 1516w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.04.57-300x85.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.04.57-1024x291.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.04.57-768x218.png 768w\" sizes=\"auto, (max-width: 1516px) 100vw, 1516px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.05.51.png\" alt=\"\" class=\"wp-image-22527\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1506\" height=\"368\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.05.51.png\" alt=\"\" class=\"wp-image-22527\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.05.51.png 1506w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.05.51-300x73.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.05.51-1024x250.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.05.51-768x188.png 768w\" sizes=\"auto, (max-width: 1506px) 100vw, 1506px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><sub>Reflexi\u00f3n y transmisi\u00f3n<\/sub><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Un pulso experimenta <\/sub><em><sub>reflexi\u00f3n<\/sub><\/em><sub> cuando se mueve de regreso a lo largo de la cuerda en direcci\u00f3n opuesta.<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.53.18.png\" alt=\"\" class=\"wp-image-22576\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1513\" height=\"557\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.53.18.png\" alt=\"\" class=\"wp-image-22576\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.53.18.png 1513w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.53.18-300x110.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.53.18-1024x377.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.53.18-768x283.png 768w\" sizes=\"auto, (max-width: 1513px) 100vw, 1513px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Reflexi\u00f3n de un pulso viajero en el extremo libre de una cuerda estirada.<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.53.36.png\" alt=\"\" class=\"wp-image-22577\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1511\" height=\"244\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.53.36.png\" alt=\"\" class=\"wp-image-22577\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.53.36.png 1511w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.53.36-300x48.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.53.36-1024x165.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.53.36-768x124.png 768w\" sizes=\"auto, (max-width: 1511px) 100vw, 1511px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>En el proceso de <\/sub><em><sub>transmisi\u00f3n<\/sub><\/em><sub> parte de la energ\u00eda en el pulso incidente se refleja y parte de la energ\u00eda pasa a trav\u00e9s de la frontera.<\/sub><br><sub>Cuando una onda o pulso viaja del medio A al medio B y VA &gt; VB (es decir, cuando B es m\u00e1s denso que A), se invierte en la reflexi\u00f3n. Cuando una onda o pulso viaja del medio A al medio B y VA &lt; VB (es decir, cuando A es m\u00e1s denso que B), no se invierte en la reflexi\u00f3n.<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.08.06.png\" alt=\"\" class=\"wp-image-22531\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1521\" height=\"338\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.08.06.png\" alt=\"\" class=\"wp-image-22531\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.08.06.png 1521w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.08.06-300x67.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.08.06-1024x228.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.08.06-768x171.png 768w\" sizes=\"auto, (max-width: 1521px) 100vw, 1521px\" \/><\/noscript><figcaption class=\"wp-element-caption\"><strong><sub>Rapidez de transferencia de energ\u00eda mediante ondas sinusoidales en cuerdas.<\/sub><\/strong><br><br><sub>Las ondas transportan energ\u00eda a trav\u00e9s de un medio mientras se propagan.<\/sub><\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"conclusion\">Conclusi\u00f3n<\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.09.54.png\" alt=\"\" class=\"wp-image-22534\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"423\" height=\"197\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.09.54.png\" alt=\"\" class=\"wp-image-22534\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.09.54.png 423w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.09.54-300x140.png 300w\" sizes=\"auto, (max-width: 423px) 100vw, 423px\" \/><\/noscript><figcaption class=\"wp-element-caption\">El pulso viaja hacia la derecha sobre una cuerda estirada que tiene un objeto suspendido en ella.<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.10.33.png\" alt=\"\" class=\"wp-image-22535\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"448\" height=\"205\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.10.33.png\" alt=\"\" class=\"wp-image-22535\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.10.33.png 448w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.10.33-300x137.png 300w\" sizes=\"auto, (max-width: 448px) 100vw, 448px\" \/><\/noscript><figcaption class=\"wp-element-caption\">Cuando el pulso llega, se transmite energ\u00eda al objeto suspendido.<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>La energ\u00eda total en una longitud de onda es la suma de las energ\u00edas potencial y cin\u00e9tica.<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>La potencia o rapidez de transferencia de energ\u00eda asociada a la onda mec\u00e1nica, es<\/sub><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.16.09-1024x56.png\" alt=\"\" class=\"wp-image-22544\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"56\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.16.09-1024x56.png\" alt=\"\" class=\"wp-image-22544\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.16.09-1024x56.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.16.09-300x16.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.16.09-768x42.png 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.16.09.png 1520w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><sub>La rapidez de transferencia de energ\u00eda en cualquier onda sinusoidal es proporcional al cuadrado de la frecuencia angular y al cuadrado de la amplitud.<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Ejemplo:<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Una cuerda para la que <\/sub><em><sub>\u03bc<\/sub><\/em><sub> = 5.00 X 10<\/sub><sup>-2<\/sup><sub> kg\/m est\u00e1 bajo una tensi\u00f3n de 80.0 N a) \u00bfCu\u00e1nta potencia se debe suministrar a la cuerda para generar ondas sinusoidales a una frecuencia de 60.0 Hz y una amplitud de 6.00 cm? b) Si la cuerda debe transferir energ\u00eda a una rapidez de 1000 W \u00bfCu\u00e1l debe ser la amplitud requerida si todos los otros par\u00e1metros permanecen iguales?&nbsp;<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Soluci\u00f3n:<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.18.09.png\" alt=\"\" class=\"wp-image-22551\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1517\" height=\"504\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.18.09.png\" alt=\"\" class=\"wp-image-22551\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.18.09.png 1517w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.18.09-300x100.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.18.09-1024x340.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.18.09-768x255.png 768w\" sizes=\"auto, (max-width: 1517px) 100vw, 1517px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Ejemplo:<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Escribamos la ecuaci\u00f3n de una onda que viaje en direcci\u00f3n negativa a lo largo del eje x y tenga una amplitud de 1.12 cm, una frecuencia de 548 Hz, y una velocidad de 326 m\/s.<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Soluci\u00f3n:<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.20.35.png\" alt=\"\" class=\"wp-image-22552\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1515\" height=\"277\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.20.35.png\" alt=\"\" class=\"wp-image-22552\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.20.35.png 1515w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.20.35-300x55.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.20.35-1024x187.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.20.35-768x140.png 768w\" sizes=\"auto, (max-width: 1515px) 100vw, 1515px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Ejemplo:<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>La funci\u00f3n de onda para una onda progresiva en una cuerda tensa es (en unidades SI)<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.21.26-1024x66.png\" alt=\"\" class=\"wp-image-22553\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"66\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.21.26-1024x66.png\" alt=\"\" class=\"wp-image-22553\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.21.26-1024x66.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.21.26-300x19.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.21.26-768x50.png 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.21.26.png 1518w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">a)<sub>\u00bfCu\u00e1les son la rapidez y direcci\u00f3n de viaje de la onda? b) \u00bfCu\u00e1l es la posici\u00f3n vertical de un elemento de la cuerda en <\/sub><em><sub>t = 0<\/sub><\/em><sub>, <\/sub><em><sub>x = 0.100 m<\/sub><\/em><sub>? c) \u00bfCu\u00e1les son la longitud de onda y frecuencia de la onda? d)\u00bfCu\u00e1l es la m\u00e1xima rapidez transversal de un elemento de la cuerda?<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Soluci\u00f3n:<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.48.18.png\" alt=\"\" class=\"wp-image-22573\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"996\" height=\"288\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.48.18.png\" alt=\"\" class=\"wp-image-22573\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.48.18.png 996w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.48.18-300x87.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.48.18-768x222.png 768w\" sizes=\"auto, (max-width: 996px) 100vw, 996px\" \/><\/noscript><figcaption class=\"wp-element-caption\"><sub>Ejemplo:<\/sub><br><sub>La ecuaci\u00f3n de una onda transversal de una cuerda es<\/sub><br><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.49.17.png\" alt=\"\" class=\"wp-image-22574\" width=\"652\" height=\"19\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.49.17.png\" alt=\"\" class=\"wp-image-22574\" width=\"652\" height=\"19\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.49.17.png 1003w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.49.17-300x9.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.49.17-768x23.png 768w\" sizes=\"auto, (max-width: 652px) 100vw, 652px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>donde <\/sub><em><sub>x<\/sub><\/em><sub> est\u00e1 en metros, <\/sub><em><sub>y<\/sub><\/em><sub> est\u00e1 en mil\u00edmetros, y <\/sub><em><sub>t<\/sub><\/em><sub> est\u00e1 en segundos. La cuerda est\u00e1 sometida a una tensi\u00f3n de 16.3 N. Encuentre la densidad de masa lineal de la cuerda.<\/sub><sub> <\/sub><sub><\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Soluci\u00f3n:<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.50.26.png\" alt=\"\" class=\"wp-image-22575\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"999\" height=\"116\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.50.26.png\" alt=\"\" class=\"wp-image-22575\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.50.26.png 999w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.50.26-300x35.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.50.26-768x89.png 768w\" sizes=\"auto, (max-width: 999px) 100vw, 999px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Ejemplo:<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Una onda progresiva transversal en un alambre tenso tiene una amplitud de 0.200 mm y una frecuencia de 500 Hz. Viaja con una rapidez de 196 m\/s. a) Escribamos una ecuaci\u00f3n en unidades SI de la forma <\/sub><em><sub>y = A sen (kx-\u03c9t)<\/sub><\/em><sub> para esta onda. b) La masa por unidad de longitud de este alambre es 4.10 g\/m. Encontremos la tensi\u00f3n en el alambre.<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.57.48.png\" alt=\"\" class=\"wp-image-22578\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1519\" height=\"424\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.57.48.png\" alt=\"\" class=\"wp-image-22578\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.57.48.png 1519w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.57.48-300x84.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.57.48-1024x286.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.57.48-768x214.png 768w\" sizes=\"auto, (max-width: 1519px) 100vw, 1519px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Ejemplo:<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sub>Una cuerda tensada tiene una masa de 0.18 kg y una longitud de 3.6 m \u00bfQu\u00e9 potencia debe proporcionarse para generar ondas senoidales con una amplitud de 0.10 m y una longitud de onda de 0.50 m, y cuya velocidad sea de 30 m\/s?<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.59.24.png\" alt=\"\" class=\"wp-image-22579\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1508\" height=\"312\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.59.24.png\" alt=\"\" class=\"wp-image-22579\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.59.24.png 1508w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.59.24-300x62.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.59.24-1024x212.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-9.59.24-768x159.png 768w\" sizes=\"auto, (max-width: 1508px) 100vw, 1508px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ondas sonoras<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Las ondas sonoras viajan a trav\u00e9s de cualquier medio material (gas, s\u00f3lido o l\u00edquido) con una rapidez que depende de las part\u00edculas del medio.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Se dividen en tres categor\u00edas que cubren diferentes intervalos de frecuencia:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Ondas audibles. De 20 Hz a 20 000 Hz (instrumentos musicales, cuerdas vocales y altavoces).<\/li>\n\n\n\n<li>Ondas infras\u00f3nicas. Con frecuencia &lt; 20 Hz (terremotos).<\/li>\n\n\n\n<li>Ondas ultras\u00f3nicas. Con frecuencia &gt; 20 000 Hz (campo el\u00e9ctrico en cristales de cuarzo).<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Rapidez de ondas sonoras<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">La rapidez de las ondas sonoras en un medio depende de la compresibilidad y la densidad del medio; si este es un l\u00edquido o un gas y tiene un m\u00f3dulo volum\u00e9trico B y una densidad&nbsp;<em>&nbsp;p,<\/em> la rapidez de las ondas sonoras en dicho medio es<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.01.32.png\" alt=\"\" class=\"wp-image-22581\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1479\" height=\"70\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.01.32.png\" alt=\"\" class=\"wp-image-22581\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.01.32.png 1479w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.01.32-300x14.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.01.32-1024x48.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.01.32-768x36.png 768w\" sizes=\"auto, (max-width: 1479px) 100vw, 1479px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.02.16.png\" alt=\"\" class=\"wp-image-22585\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1444\" height=\"406\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.02.16.png\" alt=\"\" class=\"wp-image-22585\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.02.16.png 1444w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.02.16-300x84.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.02.16-1024x288.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.02.16-768x216.png 768w\" sizes=\"auto, (max-width: 1444px) 100vw, 1444px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">La rapidez de todas las ondas mec\u00e1nicas sigue una expresi\u00f3n de la forma general:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.03.05.png\" alt=\"\" class=\"wp-image-22587\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1523\" height=\"329\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.03.05.png\" alt=\"\" class=\"wp-image-22587\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.03.05.png 1523w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.03.05-300x65.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.03.05-1024x221.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.03.05-768x166.png 768w\" sizes=\"auto, (max-width: 1523px) 100vw, 1523px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.03.35.png\" alt=\"\" class=\"wp-image-22588\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1519\" height=\"368\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.03.35.png\" alt=\"\" class=\"wp-image-22588\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.03.35.png 1519w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.03.35-300x73.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.03.35-1024x248.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-10.03.35-768x186.png 768w\" sizes=\"auto, (max-width: 1519px) 100vw, 1519px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Propiedades el\u00e1sticas<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.26.10.png\" alt=\"\" class=\"wp-image-22638\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1511\" height=\"349\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.26.10.png\" alt=\"\" class=\"wp-image-22638\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.26.10.png 1511w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.26.10-300x69.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.26.10-1024x237.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.26.10-768x177.png 768w\" sizes=\"auto, (max-width: 1511px) 100vw, 1511px\" \/><\/noscript><figcaption class=\"wp-element-caption\">Ejemplo:<br><br>Si se golpea con un martillo el extremo de una barra s\u00f3lida, se propaga un pulso longitudinal a lo largo de la barra con una rapidez v. Determinemos la rapidez del sonido en la barra de aluminio.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.28.53.png\" alt=\"\" class=\"wp-image-22639\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1515\" height=\"152\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.28.53.png\" alt=\"\" class=\"wp-image-22639\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.28.53.png 1515w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.28.53-300x30.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.28.53-1024x103.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.28.53-768x77.png 768w\" sizes=\"auto, (max-width: 1515px) 100vw, 1515px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ondas sonoras peri\u00f3dicas<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.39.21.png\" alt=\"\" class=\"wp-image-22642\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1520\" height=\"222\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.39.21.png\" alt=\"\" class=\"wp-image-22642\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.39.21.png 1520w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.39.21-300x44.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.39.21-1024x150.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.39.21-768x112.png 768w\" sizes=\"auto, (max-width: 1520px) 100vw, 1520px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.40.45.png\" alt=\"\" class=\"wp-image-22643\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1511\" height=\"804\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.40.45.png\" alt=\"\" class=\"wp-image-22643\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.40.45.png 1511w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.40.45-300x160.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.40.45-1024x545.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.40.45-768x409.png 768w\" sizes=\"auto, (max-width: 1511px) 100vw, 1511px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.41.51-1024x344.png\" alt=\"\" class=\"wp-image-22644\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"344\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.41.51-1024x344.png\" alt=\"\" class=\"wp-image-22644\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.41.51-1024x344.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.41.51-300x101.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.41.51-768x258.png 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.41.51.png 1511w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.43.22-1024x634.png\" alt=\"\" class=\"wp-image-22645\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"634\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.43.22-1024x634.png\" alt=\"\" class=\"wp-image-22645\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.43.22-1024x634.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.43.22-300x186.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.43.22-768x476.png 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.43.22.png 1514w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.44.21.png\" alt=\"\" class=\"wp-image-22646\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1517\" height=\"508\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.44.21.png\" alt=\"\" class=\"wp-image-22646\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.44.21.png 1517w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.44.21-300x100.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.44.21-1024x343.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.44.21-768x257.png 768w\" sizes=\"auto, (max-width: 1517px) 100vw, 1517px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.48.14-1024x524.png\" alt=\"\" class=\"wp-image-22647\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"524\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.48.14-1024x524.png\" alt=\"\" class=\"wp-image-22647\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.48.14-1024x524.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.48.14-300x153.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.48.14-768x393.png 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-14.48.14.png 1512w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.48.25.png\" alt=\"\" class=\"wp-image-22656\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1521\" height=\"568\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.48.25.png\" alt=\"\" class=\"wp-image-22656\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.48.25.png 1521w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.48.25-300x112.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.48.25-1024x382.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.48.25-768x287.png 768w\" sizes=\"auto, (max-width: 1521px) 100vw, 1521px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.50.47.png\" alt=\"\" class=\"wp-image-22657\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1512\" height=\"981\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.50.47.png\" alt=\"\" class=\"wp-image-22657\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.50.47.png 1512w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.50.47-300x195.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.50.47-1024x664.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.50.47-768x498.png 768w\" sizes=\"auto, (max-width: 1512px) 100vw, 1512px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.51.52-1024x311.png\" alt=\"\" class=\"wp-image-22658\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"311\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.51.52-1024x311.png\" alt=\"\" class=\"wp-image-22658\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.51.52-1024x311.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.51.52-300x91.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.51.52-768x233.png 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.51.52.png 1502w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.54.38.png\" alt=\"\" class=\"wp-image-22663\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1515\" height=\"1004\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.54.38.png\" alt=\"\" class=\"wp-image-22663\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.54.38.png 1515w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.54.38-300x199.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.54.38-1024x679.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.54.38-768x509.png 768w\" sizes=\"auto, (max-width: 1515px) 100vw, 1515px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.55.33.png\" alt=\"\" class=\"wp-image-22664\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1513\" height=\"487\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.55.33.png\" alt=\"\" class=\"wp-image-22664\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.55.33.png 1513w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.55.33-300x97.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.55.33-1024x330.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.55.33-768x247.png 768w\" sizes=\"auto, (max-width: 1513px) 100vw, 1513px\" \/><\/noscript><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Efecto doppler<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">El efecto Doppler se experimenta cuando hay movimiento relativo entre la fuente y el observador.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Cuando la fuente y el observador se mueven uno hacia el otro, la frecuencia escuchada por el observador es mayor que la frecuencia de la fuente.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Cuando la fuente y el observador se alejan uno del otro, el observador escucha una frecuencia menor que la de la fuente.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Caso I: Observador m\u00f3vil, fuente en reposo<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.57.31.png\" alt=\"\" class=\"wp-image-22665\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1478\" height=\"960\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.57.31.png\" alt=\"\" class=\"wp-image-22665\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.57.31.png 1478w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.57.31-300x195.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.57.31-1024x665.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.57.31-768x499.png 768w\" sizes=\"auto, (max-width: 1478px) 100vw, 1478px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.58.41.png\" alt=\"\" class=\"wp-image-22666\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1515\" height=\"882\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.58.41.png\" alt=\"\" class=\"wp-image-22666\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.58.41.png 1515w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.58.41-300x175.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.58.41-1024x596.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.58.41-768x447.png 768w\" sizes=\"auto, (max-width: 1515px) 100vw, 1515px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.59.47.png\" alt=\"\" class=\"wp-image-22667\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1514\" height=\"495\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.59.47.png\" alt=\"\" class=\"wp-image-22667\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.59.47.png 1514w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.59.47-300x98.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.59.47-1024x335.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-15.59.47-768x251.png 768w\" sizes=\"auto, (max-width: 1514px) 100vw, 1514px\" \/><\/noscript><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-16.00.33.png\" alt=\"\" class=\"wp-image-22668\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1508\" height=\"695\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-16.00.33.png\" alt=\"\" class=\"wp-image-22668\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-16.00.33.png 1508w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-16.00.33-300x138.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-16.00.33-1024x472.png 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-Pantalla-2023-01-25-a-las-16.00.33-768x354.png 768w\" sizes=\"auto, (max-width: 1508px) 100vw, 1508px\" \/><\/noscript><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Conclusi\u00f3n<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Para recordar:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Una onda es una propagaci\u00f3n de energ\u00eda en el espacio debido a la perturbaci\u00f3n de alguna de sus propiedades f\u00edsicas. Este fen\u00f3meno puede darse en un espacio vac\u00edo o en uno que contenga materia (aire, agua, tierra, etc.).<\/li>\n<\/ol>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>Las ondas pueden ser longitudinales y transversales seg\u00fan el movimiento del medio.<\/li>\n<\/ol>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li>Seg\u00fan el medio en el que se propagan las ondas pueden ser mec\u00e1nicas o electromagn\u00e9ticas.<\/li>\n<\/ol>\n\n\n\n<ol class=\"wp-block-list\" start=\"4\">\n<li>Las ondas peri\u00f3dicas o arm\u00f3nicas presentan ciclos repetitivos.<\/li>\n<\/ol>\n\n\n\n<ol class=\"wp-block-list\" start=\"5\">\n<li>Las ondas mec\u00e1nicas precisan de un medio para propagarse, como puede ser el agua, un metal o el aire. Un ejemplo es el sonido, el cual no puede viajar a trav\u00e9s del vac\u00edo.<\/li>\n<\/ol>\n\n\n\n<ol class=\"wp-block-list\" start=\"6\">\n<li>Seg\u00fan su frecuencia, las ondas pueden ser audibles, infras\u00f3nicas y ultras\u00f3nicas.<\/li>\n<\/ol>\n\n\n\n<ol class=\"wp-block-list\" start=\"7\">\n<li>En la ingenier\u00eda el uso de las ondas es esencial para explotar terrenos y obtener recursos minerales que sirvan para el beneficio humano; por ejemplo, se procede a interactuar con explosivos que causan ondas; se presentan las ondas como m\u00e9todo de estudio que abordan todo lo relacionado con s\u00edsmica; se caracterizan las ondas por su importancia probatoria de mostrar la eficiencia de una estructura.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Espero que hayas disfrutado el trayecto de la Mec\u00e1nica Anal\u00edtica y su aplicaci\u00f3n en la Ingenier\u00eda. Ingenier\u00eda es la profesi\u00f3n en la que el conocimiento de la ciencias matem\u00e1ticas y naturales, obtenido mediante el estudio, la experiencia y la pr\u00e1ctica, se aplica con buen juicio a fin de desarrollar las formas en que se pueden utilizar de manera econ\u00f3mica, resistente y eficiente, los materiales y las fuerzas de la naturaleza en beneficio de la sociedad, en equilibrio con el medio ambiente<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"fuentes-de-informacion\">Fuentes de informaci\u00f3n<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Resnick, R., Halliday, D. &amp; Walker, J. (2013). <em>F\u00edsica.<\/em> Patria.<\/li>\n\n\n\n<li>Marion, J. B. (2003).<em> Din\u00e1mica cl\u00e1sica de las part\u00edculas y sistemas<\/em>. Barcelona: Revert\u00e9.<\/li>\n\n\n\n<li>Young, H. D. y Freedman, R. A. (2009). <em>Sears, Zemansky: F\u00edsica Universitaria.<\/em> Pearson Educaci\u00f3n.<\/li>\n\n\n\n<li>Serway, R. A.&nbsp; (2006).<em> F\u00edsica para Ciencias e Ingenier\u00eda. <\/em>Thomson<\/li>\n\n\n\n<li>Alonso. (2000).<em> F\u00edsica.<\/em> Addison-Wesley.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Introducci\u00f3n \u00a1Hola admirable estudiante! Me da mucho gusto saludarte en esta ocasi\u00f3n, que sin demeritar las anteriores, ya has avanzado mucho en este proceso formativo y eso es raz\u00f3n suficiente para pedirte que contin\u00faes con ese mismo \u00edmpetu por aprender m\u00e1s. Te reitero mis felicitaciones y te doy la bienvenida a la \u00faltima clase digital &#8230; <a title=\"Clase digital 8. Ondas, vibraciones y oscilaciones\" class=\"read-more\" href=\"https:\/\/blogs.ugto.mx\/rea\/clase-digital-8-ondas-vibraciones-y-oscilaciones\/\" aria-label=\"Leer m\u00e1s sobre Clase digital 8. Ondas, vibraciones y oscilaciones\">Leer m\u00e1s<\/a><\/p>\n","protected":false},"author":142,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","episode_type":"","audio_file":"","podmotor_file_id":"","podmotor_episode_id":"","cover_image":"","cover_image_id":"","duration":"","filesize":"","filesize_raw":"","date_recorded":"","explicit":"","block":"","itunes_episode_number":"","itunes_title":"","itunes_season_number":"","itunes_episode_type":"","footnotes":""},"categories":[589,590],"tags":[41,592,591],"class_list":["post-22048","post","type-post","status-publish","format-standard","hentry","category-licenciatura-en-ingenieria-geomatica","category-uda-mecanica-analitica","tag-clase-digital","tag-maria-de-los-angeles-mendoza-cano","tag-neli05115"],"acf":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/22048","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/users\/142"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/comments?post=22048"}],"version-history":[{"count":9,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/22048\/revisions"}],"predecessor-version":[{"id":23027,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/22048\/revisions\/23027"}],"wp:attachment":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/media?parent=22048"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/categories?post=22048"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/tags?post=22048"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}