{"id":392,"date":"2023-06-19T19:46:58","date_gmt":"2023-06-19T19:46:58","guid":{"rendered":"https:\/\/physigeek.com\/pt\/aceleracao-tangencial-ou-aceleracao-linear\/"},"modified":"2023-06-19T19:46:58","modified_gmt":"2023-06-19T19:46:58","slug":"aceleracao-tangencial-ou-aceleracao-linear","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/aceleracao-tangencial-ou-aceleracao-linear\/","title":{"rendered":"Acelera\u00e7\u00e3o tangencial (ou acelera\u00e7\u00e3o linear)"},"content":{"rendered":"<p>Este artigo explica o que \u00e9 acelera\u00e7\u00e3o tangencial (ou acelera\u00e7\u00e3o linear) em f\u00edsica. Assim, voc\u00ea descobrir\u00e1 como calcular a acelera\u00e7\u00e3o tangencial, um exerc\u00edcio resolvido sobre acelera\u00e7\u00e3o tangencial e, al\u00e9m disso, qual a rela\u00e7\u00e3o entre a acelera\u00e7\u00e3o tangencial e outros conceitos cinem\u00e1ticos. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-aceleracion-tangencial-o-aceleracion-lineal\"><\/span> O que \u00e9 acelera\u00e7\u00e3o tangencial (ou acelera\u00e7\u00e3o linear)?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Acelera\u00e7\u00e3o tangencial<\/strong> (ou <strong>acelera\u00e7\u00e3o linear<\/strong> ) \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> Em geral, a acelera\u00e7\u00e3o tangencial \u00e9 representada pelo s\u00edmbolo a <sub>t<\/sub> .<\/p>\n<p> A acelera\u00e7\u00e3o tangencial tem as mesmas unidades de qualquer acelera\u00e7\u00e3o, ou seja, unidades de comprimento divididas por unidades de tempo ao quadrado. Portanto, a unidade de acelera\u00e7\u00e3o tangencial no Sistema Internacional (SI) \u00e9 o metro dividido por segundo ao quadrado (m\/s <sup>2<\/sup> ). <\/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\/acceleration-normale-et-acceleration-tangentielle.png\" alt=\"acelera\u00e7\u00e3o tangencial e acelera\u00e7\u00e3o normal\" class=\"wp-image-7327\" width=\"174\" height=\"214\"><\/figure>\n<p> A acelera\u00e7\u00e3o tangencial ( <sub>at<\/sub> ) e a acelera\u00e7\u00e3o centr\u00edpeta (a <sub>c<\/sub> ) s\u00e3o os dois componentes vetoriais da acelera\u00e7\u00e3o de um dispositivo m\u00f3vel que descreve um movimento circular n\u00e3o uniforme. A acelera\u00e7\u00e3o tangencial \u00e9 tangente \u00e0 trajet\u00f3ria do movimento circular, enquanto a acelera\u00e7\u00e3o centr\u00edpeta aponta em dire\u00e7\u00e3o ao centro da trajet\u00f3ria circular.<\/p>\n<p> Quando a acelera\u00e7\u00e3o tangencial \u00e9 0, significa que o corpo est\u00e1 girando em movimento circular uniforme (UCM), pois ent\u00e3o a velocidade tangencial \u00e9 constante. <\/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-6dbb71d2b3360843eee81493883fd5c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t=0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ MCU\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"230\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-aceleracion-tangencial\"><\/span> F\u00f3rmula de acelera\u00e7\u00e3o tangencial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> No movimento circular uniformemente acelerado (UACM), a acelera\u00e7\u00e3o tangencial varia linearmente. Portanto, a acelera\u00e7\u00e3o tangencial \u00e9 igual ao incremento <a href=\"https:\/\/physigeek.com\/pt\/velocidade-tangencial\/\">da velocidade tangencial<\/a> dividido pelo incremento do tempo.<\/p>\n<p> A <strong>f\u00f3rmula para calcular a acelera\u00e7\u00e3o tangencial (ou acelera\u00e7\u00e3o linear)<\/strong> \u00e9 portanto: <\/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-dacceleration-tangentielle.png\" alt=\"f\u00f3rmula de acelera\u00e7\u00e3o tangencial\" class=\"wp-image-7333\" width=\"272\" height=\"219\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-dacceleration-tangentielle-300x241.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-dacceleration-tangentielle.png 491w\" 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-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-74d93be25113f1e6e691f7c1c6235ce1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta v_t\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"29\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 o aumento 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-3c84b6cd794af31de0b26bc61894cb22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_{t_f}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"21\" style=\"vertical-align: -7px;\"><\/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-c4253442f62353d25af12ce7100066bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_{t_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -5px;\"><\/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<\/ul>\n<p> O valor da acelera\u00e7\u00e3o tangencial deve ser interpretado da seguinte forma:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>a <sub>t<\/sub> &gt;0<\/strong> : se a acelera\u00e7\u00e3o tangencial for positiva, significa que o m\u00f3dulo de velocidade do m\u00f3vel aumenta com o tempo.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>em <sub>t<\/sub> &lt;0<\/strong> : se a acelera\u00e7\u00e3o tangencial for negativa, isso significa que o m\u00f3dulo da velocidade do m\u00f3vel diminui com o tempo.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>em <sub>t<\/sub> =0<\/strong> : se a acelera\u00e7\u00e3o tangencial for igual a zero, isso significa que o m\u00f3dulo de velocidade do m\u00f3vel \u00e9 constante.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-calculo-de-la-aceleracion-tangencial\"><\/span> Exemplo de c\u00e1lculo da acelera\u00e7\u00e3o tangencial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Depois de vermos a defini\u00e7\u00e3o de acelera\u00e7\u00e3o tangencial (ou acelera\u00e7\u00e3o linear) e qual \u00e9 sua f\u00f3rmula, veremos um exemplo concreto de como esse tipo de acelera\u00e7\u00e3o \u00e9 calculado.<\/p>\n<ul>\n<li> Um m\u00f3bile descreve um movimento circular com velocidade uniformemente acelerada. No instante t <sub>i<\/sub> = 2 s ele tem uma velocidade tangencial de 5 m\/s e no instante t <sub>f<\/sub> = 6 s ele tem uma velocidade tangencial de 11 m\/s. Qual \u00e9 a acelera\u00e7\u00e3o tangencial do celular?<\/li>\n<\/ul>\n<p> Para encontrar a acelera\u00e7\u00e3o tangencial devemos aplicar a f\u00f3rmula explicada na se\u00e7\u00e3o anterior:<\/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-3eec7f9eb8d8e4ba295e9b1c476f1060_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t=\\cfrac{\\Delta v_t}{\\Delta t}=\\cfrac{v_{t_f}-v_{t_i}}{t_f-t_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"159\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p> Neste caso, o problema j\u00e1 nos fornece todos os dados necess\u00e1rios, por isso substitu\u00edmos os valores na f\u00f3rmula e calculamos a acelera\u00e7\u00e3o tangencial: <\/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-ee323b92e9f1b3da1447627276764d71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t=\\cfrac{11-5}{6-2}=\\cfrac{6}{4}=1.5 \\ \\cfrac{m}{s^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"195\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-tangencial-y-aceleracion-angular\"><\/span> acelera\u00e7\u00e3o tangencial e acelera\u00e7\u00e3o angular<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>A acelera\u00e7\u00e3o angular<\/strong> \u00e9 a acelera\u00e7\u00e3o na qual um corpo gira, ou seja, a acelera\u00e7\u00e3o angular indica a taxa na qual varia a velocidade angular de um corpo que est\u00e1 fazendo um movimento circular.<\/p>\n<p> Portanto, a <strong>rela\u00e7\u00e3o entre acelera\u00e7\u00e3o tangencial e acelera\u00e7\u00e3o angular<\/strong> \u00e9 que a acelera\u00e7\u00e3o angular determina o valor da acelera\u00e7\u00e3o tangencial. Mais precisamente, a acelera\u00e7\u00e3o tangencial \u00e9 igual \u00e0 acelera\u00e7\u00e3o angular multiplicada pelo raio da trajet\u00f3ria do movimento circular.<\/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-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<\/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\/aceleracao-angular\/\">O que \u00e9 acelera\u00e7\u00e3o angular?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-tangencial-y-aceleracion-centripeta\"><\/span> Acelera\u00e7\u00e3o tangencial e acelera\u00e7\u00e3o centr\u00edpeta<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A acelera\u00e7\u00e3o tangencial e a acelera\u00e7\u00e3o centr\u00edpeta s\u00e3o os dois componentes vetoriais da acelera\u00e7\u00e3o de um corpo que descreve um movimento circular.<\/p>\n<p> A <strong>diferen\u00e7a entre acelera\u00e7\u00e3o tangencial (ou acelera\u00e7\u00e3o linear) e acelera\u00e7\u00e3o centr\u00edpeta (ou acelera\u00e7\u00e3o normal)<\/strong> \u00e9 que a acelera\u00e7\u00e3o tangencial \u00e9 tangente ao caminho do movimento circular, enquanto a acelera\u00e7\u00e3o centr\u00edpeta aponta em dire\u00e7\u00e3o ao centro do caminho circular.<\/p>\n<p> Al\u00e9m disso, a acelera\u00e7\u00e3o tangencial varia a amplitude da velocidade do m\u00f3bile que realiza o movimento circular, enquanto a acelera\u00e7\u00e3o centr\u00edpeta varia a dire\u00e7\u00e3o da velocidade do m\u00f3bile. <\/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\/aceleracao-centripeta-ou-aceleracao-normal\/\">Acelera\u00e7\u00e3o centr\u00edpeta (ou acelera\u00e7\u00e3o normal)<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que \u00e9 acelera\u00e7\u00e3o tangencial (ou acelera\u00e7\u00e3o linear) em f\u00edsica. Assim, voc\u00ea descobrir\u00e1 como calcular a acelera\u00e7\u00e3o tangencial, um exerc\u00edcio resolvido sobre acelera\u00e7\u00e3o tangencial e, al\u00e9m disso, qual a rela\u00e7\u00e3o entre a acelera\u00e7\u00e3o tangencial e outros conceitos cinem\u00e1ticos. O que \u00e9 acelera\u00e7\u00e3o tangencial (ou acelera\u00e7\u00e3o linear)? Acelera\u00e7\u00e3o tangencial (ou acelera\u00e7\u00e3o linear ) &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/aceleracao-tangencial-ou-aceleracao-linear\/\"> <span class=\"screen-reader-text\">Acelera\u00e7\u00e3o tangencial (ou acelera\u00e7\u00e3o linear)<\/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-392","post","type-post","status-publish","format-standard","hentry","category-cinematografico"],"yoast_head":"<!-- This site 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