{"id":387,"date":"2023-06-19T23:48:50","date_gmt":"2023-06-19T23:48:50","guid":{"rendered":"https:\/\/physigeek.com\/pt\/deslocamento-angular\/"},"modified":"2023-06-19T23:48:50","modified_gmt":"2023-06-19T23:48:50","slug":"deslocamento-angular","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/deslocamento-angular\/","title":{"rendered":"Deslocamento angular"},"content":{"rendered":"<p>Este artigo explica o que \u00e9 deslocamento angular na f\u00edsica. Voc\u00ea descobrir\u00e1, portanto, como calcular o deslocamento angular, um exerc\u00edcio resolvido e, tamb\u00e9m, a rela\u00e7\u00e3o entre o deslocamento angular e outros conceitos de movimentos circulares. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-desplazamiento-angular\"><\/span> O que \u00e9 deslocamento angular?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>O deslocamento angular<\/strong> \u00e9 o \u00e2ngulo de deslocamento de um corpo que realiza um movimento rotacional. O deslocamento angular \u00e9, portanto, igual \u00e0 diferen\u00e7a entre a posi\u00e7\u00e3o angular final e a posi\u00e7\u00e3o angular inicial.<\/p>\n<p> O s\u00edmbolo para deslocamento angular \u00e9 \u0394\u03b8. O s\u00edmbolo \u0394 \u00e9 a letra grega delta que designa o aumento de uma quantidade e o s\u00edmbolo \u03b8 \u00e9 a letra grega theta usada para a posi\u00e7\u00e3o angular. Assim, o s\u00edmbolo do deslocamento angular, \u0394\u03b8, significa o aumento da posi\u00e7\u00e3o angular. <\/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\/deplacement-angulaire.png\" alt=\"deslocamento angular\" class=\"wp-image-7205\" width=\"202\" height=\"196\"><\/figure>\n<p> Normalmente, a unidade com a qual o deslocamento angular \u00e9 expresso \u00e9 o radiano, mas outras unidades de medida angular, como graus ou revolu\u00e7\u00f5es, tamb\u00e9m podem ser usadas. Lembre-se que 2\u03c0 radianos equivalem a 360\u00ba. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-desplazamiento-angular\"><\/span> F\u00f3rmula de deslocamento angular<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> O deslocamento angular \u00e9 igual \u00e0 diferen\u00e7a entre a posi\u00e7\u00e3o angular final e a posi\u00e7\u00e3o angular inicial. Portanto, para calcular o deslocamento angular de um corpo, sua posi\u00e7\u00e3o angular final deve ser subtra\u00edda de sua posi\u00e7\u00e3o angular inicial.<\/p>\n<p> A <strong>f\u00f3rmula para calcular o deslocamento angular<\/strong> \u00e9, portanto, a seguinte: <\/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\/formule-de-deplacement-angulaire.png\" alt=\"f\u00f3rmula de deslocamento angular\" class=\"wp-image-7182\" width=\"275\" height=\"173\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-de-deplacement-angulaire-300x189.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-de-deplacement-angulaire.png 504w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\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-35fafd512270f2cce95b082eeeb9b89e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\theta\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"24\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o deslocamento angular. <\/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-dec4862cb2c06f87af7118de56debeb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta_f\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"16\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u00e9 a posi\u00e7\u00e3o angular final. <\/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-4ab63afa2b487b4402027ad7d97fbb5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a posi\u00e7\u00e3o angular inicial. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Desplazamiento-angular-y-velocidad-angular\"><\/span> Deslocamento angular e velocidade angular<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> O deslocamento angular \u00e9 a dist\u00e2ncia angular entre a posi\u00e7\u00e3o angular final e a posi\u00e7\u00e3o angular inicial de um corpo. Enquanto a velocidade angular \u00e9 a velocidade na qual o corpo se desloca atrav\u00e9s do deslocamento angular.<\/p>\n<p> Portanto <strong>, a velocidade angular \u00e9 igual ao deslocamento angular dividido pelo incremento de tempo<\/strong> . A velocidade angular \u00e9, portanto, equivalente \u00e0 diferen\u00e7a entre a posi\u00e7\u00e3o angular final e a posi\u00e7\u00e3o angular inicial dividida pela diferen\u00e7a entre o instante final e o instante inicial.<\/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-e223345ffe5afccec758487d4c37d8f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega=\\cfrac{\\Delta\\theta}{\\Delta t}=\\cfrac{\\theta_f-\\theta_0}{t_f-t_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"141\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p> Tenha em mente que esta f\u00f3rmula calcula a velocidade angular m\u00e9dia, n\u00e3o a velocidade angular instant\u00e2nea. Ou seja, calcula-se o valor m\u00e9dio da velocidade angular, mas pode ser que durante a viagem o corpo tenha tido uma velocidade angular instant\u00e2nea maior ou menor. <\/p>\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\">Diferen\u00e7a entre velocidade angular e velocidade linear<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-resuelto-del-desplazamiento-angular\"><\/span> Exemplo concreto de deslocamento angular<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agora que sabemos o que \u00e9 deslocamento angular e qual \u00e9 sua f\u00f3rmula, vamos ver como ele \u00e9 calculado usando um exemplo concreto.<\/p>\n<ul>\n<li> Um corpo que realiza movimento circular uniforme est\u00e1 no instante t <sub>0<\/sub> =1 s na posi\u00e7\u00e3o angular \u03b8 <sub>0<\/sub> =35\u00ba e no instante t <sub>f<\/sub> =5 s na posi\u00e7\u00e3o angular \u03b8 <sub>f<\/sub> =80\u00ba. Calcular:\n<ol>\n<li> O deslocamento angular do corpo.<\/li>\n<li> A velocidade angular do corpo.<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<p> Primeiramente, converteremos os valores das posi\u00e7\u00f5es angulares em radianos para fazer os c\u00e1lculos em unidades do Sistema Internacional:<\/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-904e2797d47e32bdf84271b22a58bd34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"35^o\\cdot \\cfrac{2\\pi \\ \\rad}{360^o}=0,61 \\ rad\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/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-2540156cfe4e8eb7793950a6fedfd4c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"80^o \\cdot\\cfrac{2\\pi \\ \\rad}{360^o}=1,40\\ rad\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Assim, para encontrar o deslocamento angular do corpo devemos subtrair a posi\u00e7\u00e3o angular final menos a posi\u00e7\u00e3o angular inicial: <\/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-5708cbf12e9094f4dd5f8681fce0a6e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\Delta\\theta&amp;=\\theta_f-\\theta_o\\\\[2ex]\\Delta\\theta&amp;=1,40-0,61 \\\\[2ex]\\Delta\\theta&amp;=0,79 \\ rad \\end{aligned}[ \/latex] Enfin, on calcule la vitesse angulaire en divisant le d\u00e9placement angulaire par l'incr\u00e9ment de temps : [latex]\\begin{aligned}\\omega &amp;=\\cfrac{\\Delta\\theta}{\\Delta t}\\\\[2ex] \\omega &amp;=\\cfrac{0.79}{5-1}\\\\[2ex ]\\ om\u00e9ga &amp;= 0,20 \\ \\cfrac{rad}{s}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"273\" width=\"644\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Desplazamiento-angular-y-desplazamiento-lineal\"><\/span> Deslocamento angular e deslocamento linear<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Em um movimento circular, o m\u00f3bile gira e percorre uma certa dist\u00e2ncia. Portanto, <strong>deslocamento linear<\/strong> \u00e9 a dist\u00e2ncia percorrida por um corpo em movimento circular.<\/p>\n<p> A <strong>diferen\u00e7a entre o deslocamento angular e o deslocamento linear<\/strong> \u00e9 que o deslocamento \u00e9 o \u00e2ngulo percorrido pelo corpo, enquanto o deslocamento linear \u00e9 a dist\u00e2ncia percorrida pelo corpo.<\/p>\n<p> O deslocamento angular e o deslocamento linear s\u00e3o facilmente diferenciados por unidades. O deslocamento angular possui unidades angulares (radianos, graus, revolu\u00e7\u00f5es, etc.), enquanto o deslocamento linear possui unidades de dist\u00e2ncia (metros, quil\u00f4metros, mil\u00edmetros, etc.).<\/p>\n<p> No movimento circular uniforme (UCM), o deslocamento angular de um corpo \u00e9 igual ao seu deslocamento linear dividido pelo raio do movimento circular uniforme.<\/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-4169700760f4780dd5fb988803809bd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta\\theta =\\cfrac{\\Delta s}{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"73\" style=\"vertical-align: -12px;\"><\/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-35fafd512270f2cce95b082eeeb9b89e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\theta\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"24\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o deslocamento angular. <\/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-3db0030e4bedf27f75c7b9ba39f740f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta s\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o deslocamento linear. <\/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 o raio da trajet\u00f3ria do movimento circular uniforme. <\/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\/deslocamento-linear\/\">Deslocamento linear<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que \u00e9 deslocamento angular na f\u00edsica. Voc\u00ea descobrir\u00e1, portanto, como calcular o deslocamento angular, um exerc\u00edcio resolvido e, tamb\u00e9m, a rela\u00e7\u00e3o entre o deslocamento angular e outros conceitos de movimentos circulares. O que \u00e9 deslocamento angular? O deslocamento angular \u00e9 o \u00e2ngulo de deslocamento de um corpo que realiza um movimento &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/deslocamento-angular\/\"> <span class=\"screen-reader-text\">Deslocamento angular<\/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-387","post","type-post","status-publish","format-standard","hentry","category-cinematografico"],"yoast_head":"<!-- This site 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