{"id":248,"date":"2023-06-23T08:46:19","date_gmt":"2023-06-23T08:46:19","guid":{"rendered":"https:\/\/physigeek.com\/pt\/coeficiente-de-atrito-dinamico\/"},"modified":"2023-06-23T08:46:19","modified_gmt":"2023-06-23T08:46:19","slug":"coeficiente-de-atrito-dinamico","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/coeficiente-de-atrito-dinamico\/","title":{"rendered":"Coeficiente de atrito din\u00e2mico"},"content":{"rendered":"<p>Este artigo explica o que \u00e9 coeficiente de atrito din\u00e2mico (ou coeficiente de atrito din\u00e2mico) em f\u00edsica e como ele \u00e9 calculado. Al\u00e9m disso, voc\u00ea encontrar\u00e1 um exemplo concreto de c\u00e1lculo do coeficiente de atrito din\u00e2mico para melhor compreender o conceito. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-coeficiente-de-friccion-dinamico\"><\/span> Qual \u00e9 o coeficiente de atrito din\u00e2mico?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> O <strong>coeficiente de atrito din\u00e2mico<\/strong> , ou <strong>coeficiente de atrito din\u00e2mico<\/strong> , \u00e9 um coeficiente que indica o atrito entre as superf\u00edcies de dois corpos quando um desliza sobre o outro.<\/p>\n<p> O coeficiente de atrito din\u00e2mico \u00e9 um coeficiente adimensional, ou seja, n\u00e3o possui unidade.<\/p>\n<p> Al\u00e9m disso, o coeficiente de atrito din\u00e2mico \u00e9 geralmente representado pelo s\u00edmbolo <sub>\u03bcd<\/sub> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-calcular-el-coeficiente-de-friccion-dinamico\"><\/span> Como calcular o coeficiente de atrito din\u00e2mico<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> O coeficiente de atrito din\u00e2mico \u00e9 igual \u00e0 raz\u00e3o entre a for\u00e7a de atrito din\u00e2mico (ou for\u00e7a de atrito) e a for\u00e7a normal. Portanto, o coeficiente de atrito din\u00e2mico \u00e9 calculado dividindo a for\u00e7a de atrito din\u00e2mico pela for\u00e7a normal.<\/p>\n<p> Resumindo, a <strong>f\u00f3rmula do coeficiente de atrito din\u00e2mico<\/strong> \u00e9:<\/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-62d652e0956ec70ea9543acea0e1f38f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_d=\\cfrac{F_R}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"67\" 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:8px\"><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-8aa8c388a2134d7e66a2b64698de4e79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_d\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 o coeficiente de atrito din\u00e2mico, que n\u00e3o tem unidade. <\/span><\/li>\n<li style=\"margin-bottom:8px\"><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-5b005ac29604de5f2904d2da7ade0238_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F_R\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"22\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a for\u00e7a de atrito ou atrito din\u00e2mico, expressa em newtons.<\/span><\/li>\n<li><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-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a for\u00e7a normal, expressa em newtons. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicio-resuelto-del-coeficiente-de-friccion-dinamico\"><\/span> Exerc\u00edcio resolvido sobre o coeficiente de atrito din\u00e2mico<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agora que sabemos a defini\u00e7\u00e3o de coeficiente de atrito din\u00e2mico e qual a sua f\u00f3rmula, segue abaixo um exerc\u00edcio resolvido sobre este tema.<\/p>\n<ul>\n<li> Colocamos um corpo de massa m=6 kg no topo de um plano inclinado de 45\u00ba. Se o corpo desliza sobre o plano inclinado com uma acelera\u00e7\u00e3o de 4 m\/s <sup>2<\/sup> , qual \u00e9 o coeficiente de atrito din\u00e2mico entre a superf\u00edcie do plano inclinado e a do corpo? Dados: g=10 m\/s <sup>2<\/sup> . <\/li>\n<\/ul>\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\/probleme-resolu-coefficient-de-frottement-dynamique.png\" alt=\"problema do coeficiente de atrito ou atrito din\u00e2mico\" class=\"wp-image-4281\" width=\"203\" height=\"205\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-resolu-coefficient-de-frottement-dynamique-298x300.png 298w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-resolu-coefficient-de-frottement-dynamique-150x150.png 150w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-resolu-coefficient-de-frottement-dynamique.png 479w\" sizes=\"auto, (max-width: 298px) 100vw, 298px\"><\/figure>\n<p> A primeira coisa que precisamos fazer para resolver qualquer problema de f\u00edsica relacionado \u00e0 din\u00e2mica \u00e9 desenhar o diagrama de corpo livre. Ent\u00e3o, todas as for\u00e7as que atuam no sistema s\u00e3o: <\/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\/exercice-resolu-force-de-friction-dynamique.png\" alt=\"exerc\u00edcio resolvido do coeficiente de atrito ou atrito din\u00e2mico\" class=\"wp-image-4282\" width=\"248\" height=\"301\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-force-de-friction-dynamique-247x300.png 247w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-force-de-friction-dynamique.png 572w\" sizes=\"auto, (max-width: 247px) 100vw, 247px\"><\/figure>\n<p> No sentido do eixo 1 (paralelo ao plano inclinado) o corpo apresenta uma acelera\u00e7\u00e3o, por\u00e9m, no sentido do eixo 2 (perpendicular ao plano inclinado) o corpo est\u00e1 em repouso. A partir dessas informa\u00e7\u00f5es, propomos as equa\u00e7\u00f5es das for\u00e7as do sistema:<\/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-d87a1ef6aaa3476891df5da8334cbc49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1-F_R=m\\cdot a\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"124\" style=\"vertical-align: -3px;\"><\/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-6bdf90ed250934bf6cffbb110bc792a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_2-N=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"90\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> Ent\u00e3o, podemos calcular a for\u00e7a normal a partir da segunda equa\u00e7\u00e3o:<\/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-59341555fe3d5fe315ceb1864547873b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}N=P_2\\\\[3ex]N=m\\cdot g\\cdot \\text{cos}(\\alpha) \\\\[3ex] N=6 \\cdot 10 \\cdot \\ text{cos}(45\u00ba)\\\\[3ex]N=42,43 \\ N\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"185\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Por outro lado, calculamos o valor da for\u00e7a de atrito (ou for\u00e7a de atrito) a partir da primeira equa\u00e7\u00e3o apresentada:<\/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-d8f2aff2a81d98ddcea04b1988282fda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}P_1-F_R=m\\cdot a\\\\[3ex]F_R=P_1-m\\cdot a\\\\[3ex]F_R=m\\cdot g\\cdot \\text{sin} (\\alpha)-m\\cdot a\\\\[3ex]F_R=6\\cdot 10\\cdot \\text{sin}(45\u00ba)-6\\cdot 4\\\\[3ex]F_R=18.43 \\ N\\end{ array} \" title=\"Rendered by QuickLaTeX.com\" height=\"195\" width=\"204\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> E uma vez conhecido o valor da for\u00e7a normal e da for\u00e7a de atrito, podemos determinar o coeficiente de atrito din\u00e2mico usando sua f\u00f3rmula correspondente: <\/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-31af78ef6e04fa66121d64aa3570f5a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_d=\\cfrac{F_R}{N}=\\cfrac{18.43}{43.43}=\\bm{0.42}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"187\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Coeficiente-de-friccion-dinamico-y-estatico\"><\/span> Coeficiente de atrito din\u00e2mico e est\u00e1tico<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> O <strong>coeficiente de atrito est\u00e1tico<\/strong> \u00e9 o coeficiente de atrito que relaciona a for\u00e7a normal e a for\u00e7a de atrito quando se pretende iniciar o movimento (mas o corpo ainda est\u00e1 em repouso).<\/p>\n<p> Assim, o coeficiente de atrito est\u00e1tico \u00e9 utilizado para calcular a for\u00e7a de atrito est\u00e1tico, ou seja, a for\u00e7a de atrito que deve ser superada para iniciar o movimento.<\/p>\n<p> Normalmente, o coeficiente de atrito din\u00e2mico \u00e9 menor que o coeficiente de atrito est\u00e1tico. A for\u00e7a de atrito din\u00e2mico \u00e9, portanto, tamb\u00e9m menor que a for\u00e7a de atrito est\u00e1tico. <\/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-a57166a4daa1b3160d4f3237359fbde0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_d<\\mu_e\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"59\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Valores-del-coeficiente-de-friccion-dinamico\"><\/span> Valores do coeficiente de atrito din\u00e2mico<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Na tabela a seguir voc\u00ea pode ver alguns valores comuns de coeficiente de atrito din\u00e2mico e coeficiente de atrito est\u00e1tico:<\/p>\n<figure class=\"wp-block-table is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th> Superf\u00edcies de contato<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> Coeficiente de atrito est\u00e1tico (\u03bc <sub>e<\/sub> )<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> Coeficiente de atrito din\u00e2mico ( <sub>\u03bcd<\/sub> )<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td> Cobre em a\u00e7o<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,53<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,36<\/td>\n<\/tr>\n<tr>\n<td> A\u00e7o sobre a\u00e7o<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,74<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,57<\/td>\n<\/tr>\n<tr>\n<td> Alum\u00ednio sobre a\u00e7o<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,61<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,47<\/td>\n<\/tr>\n<tr>\n<td> Borracha sobre cimento<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8<\/td>\n<\/tr>\n<tr>\n<td> Madeira sobre madeira<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,25-0,5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,2<\/td>\n<\/tr>\n<tr>\n<td> madeira em couro<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,4<\/td>\n<\/tr>\n<tr>\n<td> teflon ou teflon<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,04<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,04<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<p> Tenha em mente que esses valores podem variar, pois dependem de muitos fatores, como rugosidade da superf\u00edcie, temperatura, etc.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que \u00e9 coeficiente de atrito din\u00e2mico (ou coeficiente de atrito din\u00e2mico) em f\u00edsica e como ele \u00e9 calculado. Al\u00e9m disso, voc\u00ea encontrar\u00e1 um exemplo concreto de c\u00e1lculo do coeficiente de atrito din\u00e2mico para melhor compreender o conceito. Qual \u00e9 o coeficiente de atrito din\u00e2mico? O coeficiente de atrito din\u00e2mico , ou &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/coeficiente-de-atrito-dinamico\/\"> <span class=\"screen-reader-text\">Coeficiente de atrito din\u00e2mico<\/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":[5],"tags":[],"class_list":["post-248","post","type-post","status-publish","format-standard","hentry","category-dinamico"],"yoast_head":"<!-- This site is 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