{"id":473,"date":"2023-06-16T05:57:52","date_gmt":"2023-06-16T05:57:52","guid":{"rendered":"https:\/\/physigeek.com\/pt\/onda-tridimensional\/"},"modified":"2023-06-16T05:57:52","modified_gmt":"2023-06-16T05:57:52","slug":"onda-tridimensional","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/onda-tridimensional\/","title":{"rendered":"Onda tridimensional"},"content":{"rendered":"<p>Este artigo explica o que s\u00e3o ondas tridimensionais na f\u00edsica. Ent\u00e3o voc\u00ea encontrar\u00e1 a defini\u00e7\u00e3o de onda tridimensional, quais s\u00e3o suas caracter\u00edsticas e a equa\u00e7\u00e3o de uma onda tridimensional. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-una-onda-tridimensional\"><\/span> O que \u00e9 uma onda tridimensional?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Uma <strong>onda tridimensional<\/strong> , tamb\u00e9m chamada <strong>de onda esf\u00e9rica<\/strong> , \u00e9 uma onda que se propaga em tr\u00eas dimens\u00f5es. Em outras palavras, as ondas tridimensionais se propagam em todas as dire\u00e7\u00f5es do espa\u00e7o.<\/p>\n<p> Por exemplo, uma onda sonora \u00e9 uma onda tridimensional porque se propaga em todas as tr\u00eas dimens\u00f5es do espa\u00e7o. As ondas de luz tamb\u00e9m s\u00e3o exemplos de ondas tridimensionais.<\/p>\n<p> Portanto, as frentes de onda das ondas tridimensionais s\u00e3o esferas conc\u00eantricas que se propagam pelo espa\u00e7o, por isso tamb\u00e9m s\u00e3o chamadas de ondas esf\u00e9ricas. O centro destas esferas conc\u00eantricas \u00e9 o foco ou origem da onda tridimensional. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-de-las-ondas-tridimensionales\"><\/span> Caracter\u00edsticas das ondas tridimensionais<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> As ondas tridimensionais 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 entre o ponto mais alto das oscila\u00e7\u00f5es da onda 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> : \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 produz 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 oscila.<\/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-tridimensional\"><\/span> Equa\u00e7\u00e3o de uma onda tridimensional<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dada a simetria esf\u00e9rica das ondas tridimensionais, se assumirmos que a onda tridimensional se propaga atrav\u00e9s de um meio isotr\u00f3pico, como o ar ou a \u00e1gua, a equa\u00e7\u00e3o que descreve o seu movimento pode ser escrita em coordenadas esf\u00e9ricas da seguinte forma:<\/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-26b4b369cc2fa9266d113d8857650944_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{1}{r^2} \\frac{\\partial}{\\partial r}\\left( r^2\\frac{\\partial \\Psi}{\\partial r} \\right)-\\ frac{1}{c^2}\\frac{\\partial^2 \\Psi}{\\partial t^2} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"270\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> Assim, resolvendo a equa\u00e7\u00e3o diferencial anterior por integra\u00e7\u00e3o, chegamos \u00e0 f\u00f3rmula da <strong>equa\u00e7\u00e3o de uma onda tridimensional<\/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-a0a3b7234b7cd9d7a416a1002d15f926_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\Psi(r,t) = A\\cdot\\text{sin}( \\omega\\cdot t - k\\cdot r+ \\phi_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" 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-96d558896734bc27372c9e3216e687db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Psi\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o alongamento da onda tridimensional. <\/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-01bcf7e9e043561da78fecf715c8a46e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a dist\u00e2ncia entre a origem da onda e 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 tridimensional. <\/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-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o n\u00famero da 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 da 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-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> Dependendo das dimens\u00f5es em que se propagam, as ondas s\u00e3o classificadas em longitudinais, bidimensionais ou tridimensionais. Portanto, al\u00e9m das ondas tridimensionais, existem tamb\u00e9m os dois tipos de ondas a seguir:<\/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 bidimensional<\/strong> : tipo de onda que se propaga em duas dimens\u00f5es, ou seja, ao longo de uma superf\u00edcie.<\/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-bidimensional\/\">Onda bidimensional<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que s\u00e3o ondas tridimensionais na f\u00edsica. Ent\u00e3o voc\u00ea encontrar\u00e1 a defini\u00e7\u00e3o de onda tridimensional, quais s\u00e3o suas caracter\u00edsticas e a equa\u00e7\u00e3o de uma onda tridimensional. O que \u00e9 uma onda tridimensional? Uma onda tridimensional , tamb\u00e9m chamada de onda esf\u00e9rica , \u00e9 uma onda que se propaga em tr\u00eas dimens\u00f5es. Em &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/onda-tridimensional\/\"> <span class=\"screen-reader-text\">Onda tridimensional<\/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-473","post","type-post","status-publish","format-standard","hentry","category-cinematografico"],"yoast_head":"<!-- This site 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