{"id":471,"date":"2023-06-16T09:11:23","date_gmt":"2023-06-16T09:11:23","guid":{"rendered":"https:\/\/physigeek.com\/pt\/onda-bidimensional\/"},"modified":"2023-06-16T09:11:23","modified_gmt":"2023-06-16T09:11:23","slug":"onda-bidimensional","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/onda-bidimensional\/","title":{"rendered":"Onda bidimensional"},"content":{"rendered":"<p>Este artigo explica o que s\u00e3o ondas bidimensionais na f\u00edsica e quais s\u00e3o suas caracter\u00edsticas. Da mesma forma, \u00e9 mostrada a equa\u00e7\u00e3o de uma onda bidimensional e, por fim, voc\u00ea poder\u00e1 ver quais s\u00e3o os diferentes tipos de ondas. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-una-onda-bidimensional\"><\/span> O que \u00e9 uma onda bidimensional?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Uma <strong>onda bidimensional<\/strong> , tamb\u00e9m chamada <strong>de onda de superf\u00edcie<\/strong> , \u00e9 uma onda que se propaga em duas dimens\u00f5es. Em outras palavras, as ondas bidimensionais se propagam atrav\u00e9s de uma superf\u00edcie.<\/p>\n<p> Por exemplo, a onda gerada ao atirar uma pedra em uma piscina de \u00e1gua \u00e9 uma onda bidimensional. A onda que se propaga na superf\u00edcie da \u00e1gua avan\u00e7a em duas dimens\u00f5es, portanto \u00e9 uma onda bidimensional.<\/p>\n<p> Resumindo, as ondas bidimensionais se propagam em um plano, por isso tamb\u00e9m s\u00e3o chamadas <strong>de ondas planas<\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-de-las-ondas-bidimensionales\"><\/span> Caracter\u00edsticas das ondas bidimensionais<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> As ondas bidimensionais t\u00eam as seguintes caracter\u00edsticas:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Amplitude (A)<\/strong> : \u00e9 a dist\u00e2ncia perpendicular ao plano pela qual a onda bidimensional se propaga entre o alongamento m\u00e1ximo e seu valor m\u00e9dio.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Per\u00edodo (T)<\/strong> : Este \u00e9 o tempo que a onda precisa para fazer uma oscila\u00e7\u00e3o completa.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Frequ\u00eancia (f)<\/strong> : \u00e9 o n\u00famero de oscila\u00e7\u00f5es ou vibra\u00e7\u00f5es que a onda faz por unidade de tempo.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Frequ\u00eancia angular ou pulsa\u00e7\u00e3o (\u03c9)<\/strong> : \u00e9 a velocidade com que a onda realiza oscila\u00e7\u00f5es.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Velocidade de propaga\u00e7\u00e3o (v)<\/strong> : \u00e9 a velocidade com que a onda se propaga.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ecuacion-de-una-onda-bidimensional\"><\/span> Equa\u00e7\u00e3o de uma onda bidimensional<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Uma onda bidimensional se propaga atrav\u00e9s de um plano, mas oscila na dire\u00e7\u00e3o perpendicular ao plano atrav\u00e9s do qual se propaga. Assim, a equa\u00e7\u00e3o de uma onda bidimensional permite calcular o alongamento de suas oscila\u00e7\u00f5es a partir de coordenadas e de um instante de tempo.<\/p>\n<p> <strong>A equa\u00e7\u00e3o para uma onda bidimensional \u00e9 z(x,y,t) = A sin(k <sub>1<\/sub> x + k <sub>2<\/sub> y \u2013 \u03c9 t + \u03c6 <sub>0<\/sub> ).<\/strong><\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a11fa39e368aedf97c2c367586716aaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x,y,t)=A\\cdot \\text{sin}(k_1\\cdot x+k_2\\cdot yw\\cdot t+\\phi_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"322\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Ouro: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ec5583fa081a1e03212c151e3c222412_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o alongamento da onda bidimensional. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a289aa3313f7a7c1fd0242b1d76b378f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x,y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 a dist\u00e2ncia nos eixos OX e OY respectivamente da origem da onda at\u00e9 o ponto de estudo. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a amplitude da onda bidimensional. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-290ceadf6048066d4ebf9626208bdd2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k_1,k_2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"41\" style=\"vertical-align: -4px;\"><\/p>\n<p> s\u00e3o as coordenadas X e Y do vetor de onda. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fbffdce91996e0a17795d82e8e6996d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a frequ\u00eancia angular ou pulsa\u00e7\u00e3o. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o momento do tempo. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c8618f3820889d0002a7eefeeb2aaf41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\phi_0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 a fase inicial da onda. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Otros-tipos-de-ondas\"><\/span> Outros tipos de ondas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Al\u00e9m das ondas unidimensionais, na f\u00edsica existem outros dois tipos de ondas dependendo das dimens\u00f5es pelas quais se propagam, a saber:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Onda unidimensional<\/strong> : tipo de onda que se propaga em uma \u00fanica dimens\u00e3o, ou seja, em uma \u00fanica dire\u00e7\u00e3o.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Onda tridimensional<\/strong> : Tipo de onda que se propaga em tr\u00eas dimens\u00f5es, ou seja, se expande em todas as dire\u00e7\u00f5es.<\/span> <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/physigeek.com\/pt\/onda-unidimensional\/\">Onda unidimensional<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/physigeek.com\/pt\/onda-tridimensional\/\">Onda tridimensional<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que s\u00e3o ondas bidimensionais na f\u00edsica e quais s\u00e3o suas caracter\u00edsticas. Da mesma forma, \u00e9 mostrada a equa\u00e7\u00e3o de uma onda bidimensional e, por fim, voc\u00ea poder\u00e1 ver quais s\u00e3o os diferentes tipos de ondas. O que \u00e9 uma onda bidimensional? Uma onda bidimensional , tamb\u00e9m chamada de onda de superf\u00edcie &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/onda-bidimensional\/\"> <span class=\"screen-reader-text\">Onda bidimensional<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-471","post","type-post","status-publish","format-standard","hentry","category-cinematografico"],"yoast_head":"<!-- This site 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