{"id":400,"date":"2023-06-19T12:50:28","date_gmt":"2023-06-19T12:50:28","guid":{"rendered":"https:\/\/physigeek.com\/pt\/movimento-circular-acelera-uniformemente-mcua\/"},"modified":"2023-06-19T12:50:28","modified_gmt":"2023-06-19T12:50:28","slug":"movimento-circular-acelera-uniformemente-mcua","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/movimento-circular-acelera-uniformemente-mcua\/","title":{"rendered":"Movimento circular uniformemente acelerado (mcua)"},"content":{"rendered":"<p>Este artigo explica o que \u00e9 movimento circular uniformemente acelerado (MCUA) na f\u00edsica, tamb\u00e9m chamado de movimento circular uniformemente variado (MCUA). Voc\u00ea tamb\u00e9m encontrar\u00e1 as caracter\u00edsticas do MCUA e todas as f\u00f3rmulas para este tipo de movimento circular. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-movimiento-circular-uniformemente-acelerado-MCUA\"><\/span> O que \u00e9 movimento circular uniformemente acelerado (UACM)?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>O movimento circular uniformemente acelerado (MCUA)<\/strong> , tamb\u00e9m chamado de <strong>movimento circular uniformemente variado (MCUV)<\/strong> , \u00e9 um movimento que descreve um corpo em movimento que gira em torno de um eixo com acelera\u00e7\u00e3o angular constante. Portanto, a velocidade angular de um MCUA varia uniformemente.<\/p>\n<p> Por exemplo, a roda de um carro ao dar partida segue um movimento circular uniformemente acelerado (MCUA). Da mesma forma, parar um ventilador ou girar um pi\u00e3o tamb\u00e9m s\u00e3o exemplos de movimentos circulares uniformemente acelerados. <\/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\/exemple-mouvement-circulaire-uniformement-accelere-mcua.png\" alt=\"exemplo de movimento circular uniformemente acelerado (UACM)\" class=\"wp-image-7577\" width=\"350\" height=\"294\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exemple-mouvement-circulaire-uniformement-accelere-mcua-300x252.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exemple-mouvement-circulaire-uniformement-accelere-mcua.png 516w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> A <strong>diferen\u00e7a entre o movimento circular uniformemente acelerado (MCUA) e o movimento circular uniforme (MCU)<\/strong> \u00e9 o valor da velocidade angular. Num MCU a velocidade angular \u00e9 constante, no entanto, num MCUA a velocidade angular aumenta ou diminui com o tempo. <\/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\/movimento-circular-uniforme-mcu\/\">Movimento Circular Uniforme (UCM)<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-del-movimiento-circular-uniformemente-acelerado\"><\/span> Caracter\u00edsticas do movimento circular uniformemente acelerado<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Um movimento circular uniformemente acelerado (MCUA) tem as seguintes caracter\u00edsticas:<\/p>\n<ol style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>A principal caracter\u00edstica do movimento circular uniformemente acelerado (MCUA) \u00e9 que a acelera\u00e7\u00e3o angular (\u03b1) \u00e9 constante.<\/strong> Portanto, a velocidade angular de um MCUA n\u00e3o \u00e9 constante, mas aumenta ou diminui linearmente ao longo do tempo.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">A velocidade do corpo (v) que descreve um movimento circular uniformemente acelerado \u00e9 tangente \u00e0 trajet\u00f3ria circular, por isso \u00e9 chamada de velocidade tangencial ou velocidade linear. A velocidade corporal aumenta ou diminui linearmente com o tempo.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">A acelera\u00e7\u00e3o centr\u00edpeta (ou acelera\u00e7\u00e3o normal) \u00e9 a componente vetorial da acelera\u00e7\u00e3o do m\u00f3vel que provoca a mudan\u00e7a de dire\u00e7\u00e3o de sua velocidade e \u00e9, portanto, a causa da trajet\u00f3ria circular. A acelera\u00e7\u00e3o centr\u00edpeta (a <sub>c<\/sub> ) \u00e9 perpendicular \u00e0 velocidade tangencial e aponta em dire\u00e7\u00e3o ao centro da trajet\u00f3ria circular.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">A acelera\u00e7\u00e3o tangencial (em <sub>t<\/sub> ) \u00e9 tangente \u00e0 trajet\u00f3ria e \u00e9 a componente vetorial da acelera\u00e7\u00e3o do m\u00f3vel que provoca a mudan\u00e7a na amplitude de sua velocidade. Portanto, se a acelera\u00e7\u00e3o angular for positiva, a acelera\u00e7\u00e3o tangencial tamb\u00e9m ser\u00e1 positiva e a velocidade tangencial aumentar\u00e1. Por outro lado, se a acelera\u00e7\u00e3o angular for negativa, a acelera\u00e7\u00e3o tangencial tamb\u00e9m ser\u00e1 negativa e a velocidade tangencial diminuir\u00e1.<\/span> <\/li>\n<\/ol>\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\/mouvement-circulaire-uniformement-accelere-mcua.png\" alt=\"movimento circular uniformemente acelerado (MCUA)\" class=\"wp-image-7580\" width=\"302\" height=\"393\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/mouvement-circulaire-uniformement-accelere-mcua-231x300.png 231w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/mouvement-circulaire-uniformement-accelere-mcua.png 437w\" sizes=\"auto, (max-width: 231px) 100vw, 231px\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formulas-del-movimiento-circular-uniformemente-acelerado\"><\/span> F\u00f3rmulas de movimento circular uniformemente acelerado<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A seguir veremos quais s\u00e3o todas as f\u00f3rmulas para o movimento circular uniformemente acelerado (MCUA), tamb\u00e9m conhecido como movimento circular uniformemente variado (MCUV). Estas f\u00f3rmulas permitir-nos-\u00e3o resolver exerc\u00edcios deste tipo de movimento.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Posicion-angular\"><\/span> posi\u00e7\u00e3o angular<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> A posi\u00e7\u00e3o angular refere-se ao \u00e2ngulo percorrido pelo m\u00f3bile que descreve um movimento circular uniformemente acelerado. Assim, a f\u00f3rmula de c\u00e1lculo da posi\u00e7\u00e3o angular de um m\u00f3vel que realiza um MCUA \u00e9 a seguinte:<\/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-7bdba50955cc964a96e6eb130757b984_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta =\\theta_0+\\omega_0\\cdot t +\\cfrac{1}{2}\\cdot\\alpha\\cdot t^2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"191\" 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-7b2034939b850e3311120fca462ab64e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a posi\u00e7\u00e3o angular final, expressa em radianos. <\/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, expressa em radianos. <\/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-16d6124ee5830d799cd0f950cbe78fa5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega_0\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a velocidade angular inicial. <\/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 tempo decorrido. <\/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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o angular.<\/span><\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Velocidad-angular\"><\/span> Velocidade angular<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> A velocidade angular \u00e9 a velocidade na qual o m\u00f3vel gira descrita pelo MCUA. A velocidade angular, portanto, indica a velocidade com que um corpo muda sua posi\u00e7\u00e3o angular.<\/p>\n<p> No movimento circular uniformemente acelerado (UACM), a velocidade angular aumenta ou diminui linearmente em fun\u00e7\u00e3o do tempo. Portanto, neste caso, a velocidade angular de um instante \u00e9 igual \u00e0 velocidade angular inicial mais o produto da acelera\u00e7\u00e3o angular pelo tempo decorrido.<\/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-51b2ef36d6588d9aba93e29573c6bd1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega=\\omega_0+\\alpha \\cdot t\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"106\" style=\"vertical-align: -3px;\"><\/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-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 velocidade 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-16d6124ee5830d799cd0f950cbe78fa5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega_0\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a velocidade angular inicial. <\/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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o 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-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 instante em que a velocidade angular \u00e9 calculada. <\/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\">Exerc\u00edcio resolvido sobre velocidade angular<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-angular\"><\/span>acelera\u00e7\u00e3o angular<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> A acelera\u00e7\u00e3o angular indica a mudan\u00e7a na velocidade angular de um corpo. Em outras palavras, a acelera\u00e7\u00e3o angular representa a taxa na qual a velocidade angular muda.<\/p>\n<p> No movimento circular uniformemente acelerado, a acelera\u00e7\u00e3o angular \u00e9 constante, por isso \u00e9 calculada usando a seguinte f\u00f3rmula:<\/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-fedefe7f3708477dc61b93a792509ab6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha=\\cfrac{\\Delta\\omega}{\\Delta t}=\\cfrac{\\omega_f-\\omega_i}{t_f-t_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"148\" style=\"vertical-align: -18px;\"><\/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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o 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-94f4e26a511e85d1ab00d3f1686bf7e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\omega\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a mudan\u00e7a na velocidade 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-819ab50990df5adf82bea9dfa75ffff2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta t\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a varia\u00e7\u00e3o temporal. <\/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-562a49afd4fa3e0e36dd810290074f64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"19\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u00e9 a velocidade 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-90b8586302c2fbf8bfa7a04162507ebd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a velocidade angular inicial. <\/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-82d36af17e232807e56da9ccdbbda0d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_f\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"14\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u00e9 o momento 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-bf289b768173104db12fe7044c723db4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"11\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 o momento inicial. <\/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\">Exerc\u00edcio resolvido sobre acelera\u00e7\u00e3o angular<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Velocidad-tangencial\"><\/span> velocidade tangencial<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> A velocidade tangencial (ou velocidade linear) \u00e9 a velocidade tangente \u00e0 trajet\u00f3ria de um movimento circular, ou seja, a velocidade tangencial \u00e9 a velocidade instant\u00e2nea de um corpo realizando movimento circular em um determinado instante.<\/p>\n<p> A f\u00f3rmula para calcular a velocidade tangencial de um corpo que descreve um movimento circular uniformemente variado (MCUV) \u00e9 a seguinte:<\/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-f8d0d9abbb8f59e8bb19042091cb64ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v=v_0+a_t\\cdot t\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"105\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> Da mesma forma, a velocidade tangencial de um instante equivale \u00e0 velocidade angular desse mesmo instante multiplicada pelo raio da trajet\u00f3ria:<\/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-ae782b74821f3d74ff5d24c88dfc5b6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_t=\\omega_t\\cdot r\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"76\" style=\"vertical-align: -3px;\"><\/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-796872219106704832bd95ce08640b7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a velocidade tangencial. <\/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-033c1c43e83708a4a975dedd88f197a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_0\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a velocidade tangencial inicial. <\/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-ab56b4b3337ead2a6dab40b537d0ba6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o tangencial. <\/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 tempo decorrido. <\/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-0689315c308e8e72d1c638429ce19f17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"w_t\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a velocidade angular no instante em que a velocidade tangencial \u00e9 calculada. <\/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 do caminho circular. <\/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\">Exerc\u00edcio resolvido sobre velocidade tangencial<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-tangencial\"><\/span> Acelera\u00e7\u00e3o tangencial<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> A acelera\u00e7\u00e3o tangencial (ou acelera\u00e7\u00e3o linear) \u00e9 a acelera\u00e7\u00e3o tangente \u00e0 trajet\u00f3ria de um movimento circular. Em outras palavras, a acelera\u00e7\u00e3o tangencial indica a varia\u00e7\u00e3o da velocidade tangencial de um corpo que est\u00e1 em movimento circular.<\/p>\n<p> No movimento circular uniformemente acelerado (MCUA), a acelera\u00e7\u00e3o tangencial \u00e9 constante, portanto pode ser determinada aplicando a seguinte f\u00f3rmula:<\/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-6207cac9ba38c317443aa089c95aa26f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t=\\cfrac{\\Delta v_t}{\\Delta t}=\\cfrac{v_f-v_i}{t_f-t_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"149\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p> Da mesma forma, a acelera\u00e7\u00e3o tangencial \u00e9 equivalente \u00e0 acelera\u00e7\u00e3o angular multiplicada pelo raio da trajet\u00f3ria:<\/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-dcadf85fe24bbd678ca72ce3e1f0e582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t=\\alpha\\cdot r\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"71\" style=\"vertical-align: -3px;\"><\/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-ab56b4b3337ead2a6dab40b537d0ba6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o tangencial. <\/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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o 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-94ac7e028a0584ad0183447f9c0fe2f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta v\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"24\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a varia\u00e7\u00e3o da velocidade tangencial. <\/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-819ab50990df5adf82bea9dfa75ffff2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta t\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a varia\u00e7\u00e3o temporal. <\/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-5d8e0d73e36f7ffd98c73baf4bec8be0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"17\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u00e9 a velocidade tangencial 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-c9928f5e418ac3466349509fd03bdead_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a velocidade tangencial inicial. <\/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-82d36af17e232807e56da9ccdbbda0d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_f\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"14\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u00e9 o momento 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-bf289b768173104db12fe7044c723db4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"11\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 o momento inicial. <\/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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o 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-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 do caminho circular. <\/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\">Exerc\u00edcio resolvido sobre acelera\u00e7\u00e3o tangencial<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-centripeta\"><\/span> Acelera\u00e7\u00e3o centr\u00edpeta<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> A acelera\u00e7\u00e3o centr\u00edpeta (ou acelera\u00e7\u00e3o normal) \u00e9 igual ao quadrado da velocidade tangencial dividido pelo raio da trajet\u00f3ria. Da mesma forma, a acelera\u00e7\u00e3o centr\u00edpeta tamb\u00e9m pode ser calculada multiplicando o quadrado da velocidade angular pelo raio da trajet\u00f3ria.<\/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-d8e3ff8b9e0dd9293abae7ce56539c75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_c=\\cfrac{v^2}{r}=\\omega^2\\cdot r\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"122\" 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-34507a55d19314330bf60a03e52dc3b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_c\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o centr\u00edpeta (ou acelera\u00e7\u00e3o normal). <\/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-796872219106704832bd95ce08640b7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a velocidade tangencial. <\/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. <\/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 velocidade angular. <\/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\">Exerc\u00edcio resolvido sobre acelera\u00e7\u00e3o centr\u00edpeta<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Resumen-de-las-formulas-del-movimiento-circular-uniformemente-acelerado\"><\/span> Resumo das f\u00f3rmulas para movimento circular uniformemente acelerado<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Em resumo, deixamos abaixo uma tabela com todas as f\u00f3rmulas para movimento circular uniformemente acelerado (MCUA). <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-mouvement-circulaire-uniformement-accelere-mcua.png\" alt=\"f\u00f3rmulas para movimentos circulares uniformemente acelerados\" class=\"wp-image-7597\" width=\"453\" height=\"646\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-mouvement-circulaire-uniformement-accelere-mcua-210x300.png 210w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-mouvement-circulaire-uniformement-accelere-mcua-718x1024.png 718w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-mouvement-circulaire-uniformement-accelere-mcua-768x1095.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-mouvement-circulaire-uniformement-accelere-mcua.png 872w\" sizes=\"auto, (max-width: 210px) 100vw, 210px\"><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que \u00e9 movimento circular uniformemente acelerado (MCUA) na f\u00edsica, tamb\u00e9m chamado de movimento circular uniformemente variado (MCUA). Voc\u00ea tamb\u00e9m encontrar\u00e1 as caracter\u00edsticas do MCUA e todas as f\u00f3rmulas para este tipo de movimento circular. O que \u00e9 movimento circular uniformemente acelerado (UACM)? O movimento circular uniformemente acelerado (MCUA) , tamb\u00e9m chamado &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/movimento-circular-acelera-uniformemente-mcua\/\"> <span class=\"screen-reader-text\">Movimento circular uniformemente acelerado (mcua)<\/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-400","post","type-post","status-publish","format-standard","hentry","category-cinematografico"],"yoast_head":"<!-- This site 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