{"id":270,"date":"2023-06-22T22:10:54","date_gmt":"2023-06-22T22:10:54","guid":{"rendered":"https:\/\/physigeek.com\/pt\/onda-senoidal-sinusoidal\/"},"modified":"2023-06-22T22:10:54","modified_gmt":"2023-06-22T22:10:54","slug":"onda-senoidal-sinusoidal","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/onda-senoidal-sinusoidal\/","title":{"rendered":"Onda senoidal (onda senoidal)"},"content":{"rendered":"<p>Este artigo explica o que s\u00e3o ondas senoidais e quais s\u00e3o seus par\u00e2metros. Al\u00e9m disso, voc\u00ea poder\u00e1 ver a diferen\u00e7a entre uma onda senoidal, uma onda cosseno e uma onda senoidal amortecida.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-una-onda-sinusoidal\"><\/span> O que \u00e9 uma onda senoidal?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A <strong>onda senoidal<\/strong> , tamb\u00e9m chamada de <strong>onda senoidal<\/strong> ou simplesmente <strong>onda senoidal<\/strong> , \u00e9 uma onda cuja representa\u00e7\u00e3o gr\u00e1fica equivale \u00e0 da fun\u00e7\u00e3o senoidal.<\/p>\n<p> Simplificando, uma onda senoidal \u00e9 uma onda peri\u00f3dica que oscila de um valor m\u00e1ximo para um valor m\u00ednimo, incluindo todos os valores intermedi\u00e1rios. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale.png\" alt=\"onda senoidal, onda senoidal, onda senoidal\" class=\"wp-image-4765\" width=\"408\" height=\"218\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-300x160.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-768x410.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale.png 787w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> A onda senoidal \u00e9 usada para representar graficamente o comportamento de sistemas oscilantes. Por exemplo, na engenharia el\u00e9trica, a onda senoidal \u00e9 usada para representar a corrente alternada. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-de-una-onda-sinusoidal\"><\/span> Caracter\u00edsticas de uma onda senoidal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agora que sabemos a defini\u00e7\u00e3o de onda senoidal (ou sinus\u00f3ide), vamos ver quais s\u00e3o as caracter\u00edsticas desse tipo de onda.<\/p>\n<ul>\n<li> O <strong>per\u00edodo de oscila\u00e7\u00e3o de uma onda senoidal<\/strong> \u00e9 o tempo decorrido entre dois pontos equivalentes na onda. Portanto, se representarmos graficamente uma onda senoidal em fun\u00e7\u00e3o do tempo, seu per\u00edodo \u00e9 o tempo que decorre at\u00e9 que o mesmo ponto se repita.<\/li>\n<\/ul>\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-791146eec9a5947e8c521165b97e100b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"T=\\text{P\u00e9riode}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"96\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> A <strong>frequ\u00eancia de uma onda senoidal<\/strong> \u00e9 o n\u00famero de oscila\u00e7\u00f5es que a onda faz durante um per\u00edodo. Per\u00edodo e frequ\u00eancia s\u00e3o inversos multiplicativos, ent\u00e3o a seguinte equa\u00e7\u00e3o \u00e9 v\u00e1lida:<\/li>\n<\/ul>\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-531bea341cf9b96ec2c355cc9e57d511_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f=\\cfrac{1}{T}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"49\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> A <strong>frequ\u00eancia angular (ou pulsa\u00e7\u00e3o) de uma onda senoidal<\/strong> \u00e9 a velocidade na qual a onda oscila. A frequ\u00eancia angular \u00e9 igual a duas vezes pi dividido pelo per\u00edodo.<\/li>\n<\/ul>\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-df8b803de06998e6a4ef5082a65705b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega=\\cfrac{2\\cdot \\pi}{T}=2\\cdot \\pi \\cdot f\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"149\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> A <strong>amplitude de uma onda senoidal<\/strong> \u00e9 a dist\u00e2ncia vertical entre um pico da onda e o eixo horizontal do gr\u00e1fico.<\/li>\n<\/ul>\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-2179324dd1409df465504be8cc28e41b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=\\text{Amplitude}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"120\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> A <strong>fase inicial de uma onda senoidal<\/strong> \u00e9 o \u00e2ngulo em radianos em que a onda senoidal em estudo difere do gr\u00e1fico da fun\u00e7\u00e3o senoidal. Se a onda senoidal come\u00e7ar no eixo horizontal e depois se mover ao longo do lado positivo do eixo vertical, significa que a fase inicial \u00e9 zero.<\/li>\n<\/ul>\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-6b6d6fbbf6f6dadba6739a7880097e4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\varphi=\\text{Phase initiale}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"141\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> A <strong>equa\u00e7\u00e3o para uma onda senoidal<\/strong> nos permite representar qualquer onda em um gr\u00e1fico em fun\u00e7\u00e3o do tempo, ent\u00e3o a f\u00f3rmula para uma onda senoidal \u00e9: <\/li>\n<\/ul>\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-9c7d69417e2a15ce94f72b45aac339f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y(t)=A\\cdot\\text{sin}(\\omega t+\\varphi )\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"166\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Sinusoide-y-cosinusoide\"><\/span> Sinus\u00f3ide e cosseno<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A <strong>onda cosseno<\/strong> , tamb\u00e9m chamada de <strong>cosseno<\/strong> ou <strong>cosseno<\/strong> , \u00e9 aquela onda cujo gr\u00e1fico tem o formato de uma fun\u00e7\u00e3o cosseno.<\/p>\n<p> No entanto, a onda cosseno tem o mesmo gr\u00e1fico que a onda senoidal, mas est\u00e1 deslocada para a esquerda. Mais precisamente, a onda cosseno est\u00e1 \u03c0\/2 radianos fora de fase com a onda senoidal.<\/p>\n<p> Portanto, se uma onda cosseno tiver a mesma amplitude e pulsa\u00e7\u00e3o que uma onda senoidal, a equa\u00e7\u00e3o do cosseno pode ser obtida a partir da equa\u00e7\u00e3o senoidal. Para fazer isso, basta adicionar uma fase inicial de \u03c0\/2 radianos. <\/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-cdbc5163c711902651f2a3acb4a24950_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot\\text{cos}(\\omega t)=A\\cdot\\text{sin}\\left(\\omega t+\\frac{\\pi}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"229\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Onda-sinusoidal-amortiguada\"><\/span> Onda senoidal amortecida<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Finalmente, veremos o que \u00e9 uma onda senoidal amortecida e qual \u00e9 a diferen\u00e7a de uma onda senoidal pura.<\/p>\n<p> Uma <strong>onda senoidal amortecida<\/strong> \u00e9 uma onda senoidal cuja amplitude tende a zero com o tempo.<\/p>\n<p> Portanto, a <strong>diferen\u00e7a entre uma onda senoidal amortecida e uma onda senoidal<\/strong> \u00e9 simplesmente que a onda senoidal amortecida diminui gradualmente em amplitude, enquanto uma onda senoidal mant\u00e9m sua amplitude constante o tempo todo. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-amortie.png\" alt=\"onda senoidal amortecida\" class=\"wp-image-4776\" width=\"338\" height=\"296\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-amortie-300x263.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-amortie.png 645w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> A equa\u00e7\u00e3o para uma onda senoidal amortecida \u00e9 muito semelhante \u00e0 equa\u00e7\u00e3o para uma onda senoidal, basta adicionar um fator exponencial que reduz a amplitude \u00e0 medida que o tempo aumenta.<\/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-3c1bc0f9419ce7ef6a01fb0065562bd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y(t)=A\\cdot e^{-\\lambda t}\\cdot\\text{sin}(\\omega t+\\varphi )\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"211\" 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-15e7ddd9037930fb096ecf8c2f36db02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y(t)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"28\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u00e9 a amplitude instant\u00e2nea no tempo<\/p>\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> . <\/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 um momento espec\u00edfico. <\/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 inicial da onda senoidal amortecida. <\/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-8c37d2f1acb1d49f3e5e655797880475_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a decad\u00eancia constante. <\/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 pulsa\u00e7\u00e3o sinusoidal amortecida. <\/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-ea4b44819badec53f472a0cf6b6c8164_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\varphi\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 a fase inicial da onda.<\/span><\/li>\n<\/ul>\n<p> Esses tipos de ondas s\u00e3o frequentemente usados em engenharia para representar sistemas eletr\u00f4nicos que perdem energia mais rapidamente do que a energia fornecida.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que s\u00e3o ondas senoidais e quais s\u00e3o seus par\u00e2metros. Al\u00e9m disso, voc\u00ea poder\u00e1 ver a diferen\u00e7a entre uma onda senoidal, uma onda cosseno e uma onda senoidal amortecida. O que \u00e9 uma onda senoidal? A onda senoidal , tamb\u00e9m chamada de onda senoidal ou simplesmente onda senoidal , \u00e9 uma onda &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/onda-senoidal-sinusoidal\/\"> <span class=\"screen-reader-text\">Onda senoidal (onda senoidal)<\/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":[6],"tags":[],"class_list":["post-270","post","type-post","status-publish","format-standard","hentry","category-eletronico"],"yoast_head":"<!-- This site is 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