{"id":118647,"date":"2024-05-26T17:00:00","date_gmt":"2024-05-26T20:00:00","guid":{"rendered":"https:\/\/vestibulares.estrategia.com\/portal\/?p=118647"},"modified":"2024-08-09T15:05:51","modified_gmt":"2024-08-09T18:05:51","slug":"forca-centripeta","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/forca-centripeta\/","title":{"rendered":"For\u00e7a centr\u00edpeta: defini\u00e7\u00e3o, caracter\u00edsticas e mec\u00e2nica"},"content":{"rendered":"<p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-59c01fae-ab57-45c1-b584-39b0cd794e5d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span> &eacute; uma grandeza vetorial que atua sobre corpos que est&atilde;o em uma <span id=\"urn:enhancement-1d683a83-e9d6-4eab-ae0e-315ca36d8b8f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/trajetoria\">trajet&oacute;ria<\/span> circular no espa&ccedil;o. &Eacute; a entidade f&iacute;sica que permite, por exemplo, que os carros andem por serras montanhosas, realizando curvas, o que demanda muito estudo da mec&acirc;nica, para desenvolver ve&iacute;culos cada vez mais seguros.&nbsp;<p class=\"wp-block-paragraph\">Por ser uma <span id=\"urn:enhancement-89cb6b41-6dec-4f77-bd80-ffd3404ba6e0\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> de grande import&acirc;ncia no dia a dia, em diferentes contextos, muitos vestibulares cobram esse assunto de maneira interdisciplinar ou ainda com f&oacute;rmulas e inserida na mec&acirc;nica e <span id=\"urn:enhancement-bf8bdd81-6ebb-42f0-8888-3f48110f3b1d\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/matematica\">matem&aacute;tica<\/span>.&nbsp;<\/p><p class=\"wp-block-paragraph\">O objetivo deste artigo, ent&atilde;o, &eacute; abordar os aspectos f&iacute;sicos e matem&aacute;ticos da <span id=\"urn:enhancement-ae9e0229-99ab-4cf4-8baa-e68b010e0862\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span>, como o vetor &eacute; definido e como ele atua em diferentes situa&ccedil;&otilde;es cotidianas. Assim, grande parte do conhecimento cobrado nas provas pode ser absorvido e, ainda, treinado com uma quest&atilde;o comentada que est&aacute; descrita ao final do texto.&nbsp;<\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Navegue pelo conte\u00fado<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/forca-centripeta\/#Definicao-de-forca-centripeta\" >Defini&ccedil;&atilde;o de for&ccedil;a centr&iacute;peta<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/forca-centripeta\/#Questao-sobre-forca-centripeta\" >Quest&atilde;o sobre for&ccedil;a centr&iacute;peta<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/forca-centripeta\/#Estude-para-as-provas-com-a-Coruja\" >Estude para as provas com a Coruja!<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-definicao-de-forca-centripeta\"><span class=\"ez-toc-section\" id=\"Definicao-de-forca-centripeta\"><\/span>Defini&ccedil;&atilde;o de for&ccedil;a centr&iacute;peta<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-28896f1a-94d4-44cf-b561-e52562519728\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span> (F<sub>CP<\/sub>), como toda <span id=\"urn:enhancement-feb6f412-da77-407f-83af-7635f663dfb3\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span>, &eacute; uma <strong>grandeza vetorial<\/strong>, que possui intensidade, <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/direcao-e-sentido\/\" target=\"_blank\">dire&ccedil;&atilde;o e sentido<\/a>. Em espec&iacute;fico, a F<sub>CP<\/sub> sempre <strong>aponta para o centro <\/strong>do <span id=\"urn:enhancement-f88f2715-b16b-4766-9176-860f34ddbcab\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circulo\">c&iacute;rculo<\/span> em que o corpo est&aacute; desempenhando sua <span id=\"urn:enhancement-d95e6a45-8d5c-48b0-b382-92c8ee8bf8e5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/trajetoria\">trajet&oacute;ria<\/span>. &Eacute; essa a&ccedil;&atilde;o vetorial que permite que o corpo permane&ccedil;a em uma <span id=\"urn:enhancement-5495d881-262e-4f1b-b5f8-858227ff8c2a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/trajetoria\">trajet&oacute;ria<\/span> circular, por exemplo em grandes curvas ou em rotat&oacute;rias do meio urbano.<\/p><p class=\"wp-block-paragraph\">Conforme as <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/leis-de-newton\/\" target=\"_blank\">Leis <\/a>propostas por <span id=\"urn:enhancement-b2c7ce71-9253-49aa-a957-7349bf68640f\" class=\"textannotation disambiguated wl-person\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/isaac-newton\">Isaac Newton<\/span>, uma <span id=\"urn:enhancement-1aeed11d-9172-4e53-bd46-1ca419624a0c\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> n&atilde;o-nula &eacute; decorrente da a&ccedil;&atilde;o de uma acelera&ccedil;&atilde;o sobre uma determinada massa, que &eacute; definida pela f&oacute;rmula F = m.a. No caso da <span id=\"urn:enhancement-a9af02fd-4830-4af4-9cf2-8f49b6b81024\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span>, a l&oacute;gica segue o mesmo princ&iacute;pio: <strong>F<sub>CP<\/sub> = m.a<sub>CP<\/sub><\/strong>.<\/p><p class=\"wp-block-paragraph\">Note, assim, que uma nova grandeza surgiu para explicar as a&ccedil;&otilde;es centr&iacute;petas, a <strong><span id=\"urn:enhancement-3be788fa-f13d-4db7-852d-3dc54447383e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/aceleracao-centripeta\">acelera&ccedil;&atilde;o centr&iacute;peta<\/span> <\/strong>(a<sub>CP<\/sub>). Isso indica que, &agrave; medida que a <span id=\"urn:enhancement-800ffe9e-b0fa-4b60-96a8-f32a1e1c944d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/aceleracao-centripeta\">acelera&ccedil;&atilde;o centr&iacute;peta<\/span> age sobre um corpo, surge uma <span id=\"urn:enhancement-7e54351a-ed00-4957-bb58-f6af137c4be0\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span> proporcional &agrave; massa que permite o <span id=\"urn:enhancement-dafbde76-c2f0-4999-910c-188e16ed6174\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/deslocamento\">deslocamento<\/span> circular sobre a pista.&nbsp;<\/p><p class=\"wp-block-paragraph\">Lembre-se, ainda, que a acelera&ccedil;&atilde;o tamb&eacute;m &eacute; considerada uma grandeza vetorial nos estudos cin&eacute;ticos. Assim como vimos anteriormente, a<sub>CP<\/sub> tem um vetor que sempre aponta para o centro do <span id=\"urn:enhancement-7f36f45e-ac7e-478d-9d3a-953719d60ccf\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circulo\">c&iacute;rculo<\/span> que forma a curva em quest&atilde;o.&nbsp;<\/p><p class=\"wp-block-paragraph\">Portanto, os vetores de acelera&ccedil;&atilde;o e <span id=\"urn:enhancement-ca415dc5-f4e7-46ea-8ee0-8d3500159389\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span> s&atilde;o <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/dinamica\/\">din&acirc;micos<\/a>, &agrave; medida que o corpo se desloca em torno do <span id=\"urn:enhancement-71cc45c4-df95-4888-9fb6-9ae251cb3e1b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circulo\">c&iacute;rculo<\/span>, o vetor muda de inclina&ccedil;&atilde;o para garantir que o sentido seja apontando para o centro. Observe o diagrama abaixo.&nbsp;<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/8PmwOE0GRoOdr9xV0z2Nlqbu3mq2WC3S-tp4EEN_Ydac6HtDeBWLApiPOJLl3X26do4mHomFFcXmCKrFC9upWRpJtXWfDfGeM9zHZLJKY3HPY-GuAoOnbuGjQ7T57Quf2IGUtS17vfRyyi9z_r6BsEo\" alt=\"\"><\/figure><p class=\"wp-block-paragraph\">Na imagem acima, tamb&eacute;m est&atilde;o dispostos, em verde, os vetores que representam a a&ccedil;&atilde;o da <span id=\"urn:enhancement-d7561b77-789d-433e-a0ba-6a52e374f75f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> sobre o corpo. Com base na <span id=\"urn:enhancement-57beef3c-f6df-4a22-831b-ab9eae9cc3f2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/aceleracao-centripeta\">acelera&ccedil;&atilde;o centr&iacute;peta<\/span>, <span id=\"urn:enhancement-64dcab17-cb96-4fc8-9414-7b4416c1d0d9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span>, <span id=\"urn:enhancement-4845efa1-1976-4677-a463-3d4c372c60a5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> e massa do corpo, &eacute; poss&iacute;vel determinar muitos par&acirc;metros cin&eacute;ticos do <span id=\"urn:enhancement-aaa699fe-c11c-4f4f-bafd-4dab3b71fa5e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/mcuv\">movimento circular<\/span>, conforme as <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/formulas-fisica-enem\/\" target=\"_blank\">f&oacute;rmulas <\/a>apresentadas a seguir:<\/p><p class=\"has-text-align-center wp-block-paragraph\">F<sub>CP <\/sub>= m.a<sub>CP<\/sub><br>a<sub>CP <\/sub>= V<sup>2<\/sup> \/ R<br>F<sub>CP <\/sub>= m. (V<sup>2<\/sup> \/ R)<br>F<sub>CP <\/sub>= (m.V<sup>2<\/sup>) \/ R<\/p><ul class=\"wp-block-list\">\n<li>F<sub>CP<\/sub>: for&ccedil;a centr&iacute;peta (em N)<\/li>\n\n\n\n<li>a<sub>CP<\/sub>: acelera&ccedil;&atilde;o centr&iacute;peta (em m\/s<sup>2<\/sup>)<\/li>\n\n\n\n<li>m: massa do corpo (em kg)<\/li>\n\n\n\n<li>V: velocidade do corpo (em m\/s)<\/li>\n\n\n\n<li>R: raio da trajet&oacute;ria circular em quest&atilde;o (em metros).<\/li>\n<\/ul><p class=\"wp-block-paragraph\">+ Veja tamb&eacute;m: <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/formulas-fisica-enem\/\">15 f&oacute;rmulas de F&iacute;sica para o Enem e vestibulares<\/a><\/p><h3 class=\"wp-block-heading\" id=\"h-relacao-entre-forca-de-atrito-e-forca-centripeta\">Rela&ccedil;&atilde;o entre for&ccedil;a de atrito e for&ccedil;a centr&iacute;peta<\/h3><p class=\"wp-block-paragraph\">Como mencionado algumas vezes ao longo do texto, um dos principais usos das for&ccedil;as centr&iacute;petas &eacute; no ambiente rodovi&aacute;rio. Carros, caminh&otilde;es e &ocirc;nibus realizam curvas de maiores ou menores raios diariamente.&nbsp;<\/p><p class=\"wp-block-paragraph\">Fato &eacute; que, &eacute; importante que os ve&iacute;culos fiquem presos &agrave; <span id=\"urn:enhancement-83bf7518-4609-4bc7-b328-d939361a1e94\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/trajetoria\">trajet&oacute;ria<\/span> circular durante o percurso porque, caso um autom&oacute;vel saia do trajeto curvo, pode bater em outros ve&iacute;culos e gerar acidentes de tr&acirc;nsito.<\/p><p class=\"wp-block-paragraph\">Segundo a <a href=\"https:\/\/www.youtube.com\/watch?v=P9cdJjB5CGY&amp;pp=ygUmbGVpcyBkZSBuZXd0b20gZXN0cmF0ZWdpYSB2ZXN0aWJ1bGFyZXM%3D\" target=\"_blank\">Primeira Lei de Newton<\/a>, que trata sobre a in&eacute;rcia, os corpos tendem a permanecer no estado que estavam: se estava em repouso, tendem a continuar parada, se movimentava-se tender a manter o movimento em linha reta uniformemente.&nbsp;<\/p><p class=\"wp-block-paragraph\">Esse &eacute; um ponto principal para compreender a relev&acirc;ncia da <span id=\"urn:enhancement-108c9852-4ec0-42f2-aaba-327a9ca925db\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span>: se o corpo tende a manter um movimento retil&iacute;neo, sua tend&ecirc;ncia inercial &eacute; sempre sair da <span id=\"urn:enhancement-0677ecb9-e5ce-48cb-9be8-73836e5e5b6b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/trajetoria\">trajet&oacute;ria<\/span> circular. Caso nenhuma <span id=\"urn:enhancement-74906caf-c9ee-44d8-9781-46e041354f90\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> aja sobre esse corpo, por exemplo um carro, ele tende a sair da rota.<\/p><p class=\"wp-block-paragraph\">Diante disso, a <span id=\"urn:enhancement-2816716b-6ccd-49cc-9caa-78148937d6dc\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span> surge como uma a&ccedil;&atilde;o f&iacute;sica que puxa o autom&oacute;vel &ldquo;para dentro&rdquo; da <span id=\"urn:enhancement-061c7397-9fae-4b01-9e49-62feda87473e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/trajetoria\">trajet&oacute;ria<\/span>, opondo-se &agrave; tend&ecirc;ncia que a in&eacute;rcia imp&otilde;e sobre o ve&iacute;culo. Na maior parte dos casos, essa a&ccedil;&atilde;o centr&iacute;peta &eacute; dependente do <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/atrito-estatico\/\" target=\"_blank\">atrito <\/a>entre o carro e o solo.&nbsp;<\/p><p class=\"wp-block-paragraph\">Quanto maior for o <span id=\"urn:enhancement-1953585c-80c1-499e-a01b-18bdd257ec1d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">atrito<\/span> entre solo e pneus, maior ser&aacute; a <span id=\"urn:enhancement-17318deb-6e39-4731-927e-083f66a22d1c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">for&ccedil;a de atrito<\/span>, que age como um <span id=\"urn:enhancement-c6ce73d9-52d1-43e8-9b50-e3f771e452f7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">for&ccedil;a de atrito<\/span> nas curvas. Ent&atilde;o, quando a superf&iacute;cie estiver molhada ou com subst&acirc;ncias mais lisas e escorregadias, ou quando o pneu est&aacute; gasto, a <span id=\"urn:enhancement-6fe24fd4-d79b-4e8f-a578-1fc5524705e6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">for&ccedil;a de atrito<\/span> &eacute; menor e a tend&ecirc;ncia inercial pode prevalecer durante os percursos.<\/p><h3 class=\"wp-block-heading\" id=\"h-movimento-circular-uniforme\">Movimento circular uniforme<\/h3><p class=\"wp-block-paragraph\">Na cin&eacute;tica, a palavra uniforme significa que a <span id=\"urn:enhancement-5ebd38a0-7a6f-4fdb-b40e-59e43cf31522\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> permanece constante naquele <span id=\"urn:enhancement-cad87412-8338-40d2-8e53-33e5f8919e3b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/deslocamento\">deslocamento<\/span>, que n&atilde;o h&aacute; a&ccedil;&atilde;o da acelera&ccedil;&atilde;o sobre a <span id=\"urn:enhancement-1a5affc3-e31f-4d3b-a9e1-6741d0b043ae\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span>. Entretanto, no <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/movimento-circular-uniforme-e-uniformemente-variado\/\">movimento circular uniforme<\/a>, &eacute; importante ressaltar que existe uma <span id=\"urn:enhancement-89cfa119-9b61-4401-8981-45f1a6c970e0\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade-escalar\">velocidade escalar<\/span> constante, com acelera&ccedil;&atilde;o nula, enquanto que a <span id=\"urn:enhancement-f0ea4de2-3f2f-4f55-9f71-6a6fafcd8f0a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/aceleracao-centripeta\">acelera&ccedil;&atilde;o centr&iacute;peta<\/span> &eacute; real e n&atilde;o-nula.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/CkalUX5U6zTTqDG3dJeo9hvbPb8Poa4gURZ-BHJbarGdV_WvXBhvxRSNR4lf0iB5kHBN5KytwlW_AblXb7qhXMwYHBI6yTayUVE_IfG8Vm9CE3raRzXA_cOvyULxAPoD5_qbWNYKwwd9GKr3pw0IbJQ\" alt=\"for&ccedil;a centr&iacute;peta e MCU\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Em primeiro lugar, &eacute; importante reconhecer que a <span id=\"urn:enhancement-6b313616-c1a0-485d-8241-57f2c7b7bb76\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> com que o corpo d&aacute; voltas no <span id=\"urn:enhancement-c4a18e28-541f-40d6-ac45-cc86a866402f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circulo\">c&iacute;rculo<\/span> &eacute; determinada pelo vetor <span id=\"urn:enhancement-a9d962e9-4f32-4c27-889e-25e77d95ca30\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade-escalar\">velocidade escalar<\/span>, que &eacute; tangente &agrave; <span id=\"urn:enhancement-71214402-5c6e-4209-985f-358624360f5c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/trajetoria\">trajet&oacute;ria<\/span> circular. Essa <span id=\"urn:enhancement-f130c606-74f7-4e5a-8ffd-20c30027726b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> pode estar influenciada por uma acelera&ccedil;&atilde;o escalar, que aumenta ou diminui seu valor ao longo do tempo, tornando o movimento mais r&aacute;pido ou mais lento. Mas, no caso de movimentos circulares uniformes, a acelera&ccedil;&atilde;o escalar &eacute; nula, ent&atilde;o a <span id=\"urn:enhancement-f8cdbb15-afbb-4a63-a62a-fc5ce9040c4d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> ser&aacute; a mesma ao longo do tempo.&nbsp;<\/p><p class=\"wp-block-paragraph\">Por outro lado, a <span id=\"urn:enhancement-2ef53f83-b4e0-4816-a402-0d5f01c090bb\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/aceleracao-centripeta\">acelera&ccedil;&atilde;o centr&iacute;peta<\/span> relaciona-se com o posicionamento do corpo no espa&ccedil;o, em torno da <span id=\"urn:enhancement-e328d8ca-5e2d-4601-874a-cae6dab500ce\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/trajetoria\">trajet&oacute;ria<\/span> circular determinada. &Eacute; necess&aacute;rio que a <span id=\"urn:enhancement-585742cd-27f2-4c84-a5d0-0cb7b8240c95\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/aceleracao-centripeta\">acelera&ccedil;&atilde;o centr&iacute;peta<\/span> seja diferente de zero e aponte para o centro da <span id=\"urn:enhancement-70972623-1666-4627-bc84-5bd69e208bf2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span>, garantindo que a massa possa contornar o espa&ccedil;o e vencer a tend&ecirc;ncia inercial.&nbsp;<\/p><p class=\"wp-block-paragraph\">Veja, portanto, que a <span id=\"urn:enhancement-3ec589a2-cf82-4e01-865b-4821a0a9f096\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/aceleracao-centripeta\">acelera&ccedil;&atilde;o centr&iacute;peta<\/span> n&atilde;o tem rela&ccedil;&atilde;o direta com a mudan&ccedil;a de <span id=\"urn:enhancement-b208c09e-964b-47c7-bba3-cedab72be76a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade-escalar\">velocidade escalar<\/span>. Na verdade, &eacute; uma grandeza vetorial de extrema import&acirc;ncia, que garante a <span id=\"urn:enhancement-b9d745fd-cb5c-422c-bfae-fa6ef438bcdc\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span> real e n&atilde;o-nula, o que permite o <span id=\"urn:enhancement-f1400685-d8bd-442a-93c6-fc15c5afbde8\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/mcuv\">movimento circular<\/span> propriamente dito. Assim, a &uacute;nica <span id=\"urn:enhancement-c8cee2c3-cb32-4425-b4c5-ecf024a48e0a\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> resultante em um MCU &eacute; a <span id=\"urn:enhancement-b512e9c7-7695-46c5-945b-5be37ee2b9c9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span> que age sobre o corpo em quest&atilde;o.<\/p><h2 class=\"wp-block-heading\" id=\"h-questao-sobre-forca-centripeta\"><span class=\"ez-toc-section\" id=\"Questao-sobre-forca-centripeta\"><\/span>Quest&atilde;o sobre for&ccedil;a centr&iacute;peta<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">ACAFE (2022)<\/p><p class=\"wp-block-paragraph\">Uma comiss&atilde;o de engenheiros necessita fornecer alguns dados t&eacute;cnicos a uma f&aacute;brica de pneus. Para uma curva de raio 120 metros, quando um ve&iacute;culo entra na mesma com <span id=\"urn:enhancement-53e1ee8a-b4b5-424f-96d4-f2886cb8412e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> de 108 km\/h, qual dever&aacute; ser o coeficiente de <span id=\"urn:enhancement-8eab0366-740a-457e-862d-8917c1424eb7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">atrito<\/span> &lsquo;&micro;&rsquo; entre os pneus e o asfalto para o carro n&atilde;o derrapar? Dados: g = 10 m\/s&sup2;<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/ZEKypfEc0ZRYhTJ2mLbaUbwsFlNF5Q-pcPVxGUlKRC3_WStbBijzz17nrxlURQbRT0Yf_MCpioktjmD4KRt-e9JvC53YgfAIBcJdK7rnrRxZSsgW3WvTi9ntinCD22-GCG90K5rM4qKdA_1sQ2dPLO4\" alt=\"Quest&atilde;o sobre for&ccedil;a centr&iacute;peta\"><\/figure><p class=\"wp-block-paragraph\"><strong>A)<\/strong> 0,09<br><strong>B) <\/strong>0,75<br><strong>C) <\/strong>0,9<br><strong>D) <\/strong>0,075<\/p><p class=\"wp-block-paragraph\"><strong>Resposta:<\/strong> Para responder essa quest&atilde;o, &eacute; necess&aacute;rio obter conhecimentos sobre <span id=\"urn:enhancement-c29c2d51-905d-4d8a-86c6-d923f9baea80\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span> e tamb&eacute;m sobre <span id=\"urn:enhancement-d7af6254-f76a-4c85-a18c-779bf4f73667\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">for&ccedil;a de atrito<\/span>.&nbsp;<\/p><p class=\"wp-block-paragraph\">Em um movimento circular uniforme, que &eacute; a situa&ccedil;&atilde;o apontada pelo enunciado, com uma <span id=\"urn:enhancement-8b593393-64f7-4c3e-abde-af928e113f93\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> espec&iacute;fica e sem a&ccedil;&atilde;o de acelera&ccedil;&atilde;o, espera-se que a &uacute;nica <span id=\"urn:enhancement-428125d0-8bba-40c6-b801-a40de95758ec\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> resultante sobre o corpo &eacute; a <span id=\"urn:enhancement-a6462ab0-b0cc-4a0b-b08e-4c664e773f9e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span>.&nbsp;<\/p><p class=\"wp-block-paragraph\">No caso de movimentos de carros sobre o asfalto, a <span id=\"urn:enhancement-4e2c77f6-bef7-4add-8d96-242651596b77\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-centripeta\">for&ccedil;a centr&iacute;peta<\/span> &eacute; equivalente &agrave; <span id=\"urn:enhancement-5879b497-d3cf-4bc3-8082-9dd6e3f5b6e9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">for&ccedil;a de atrito<\/span> entre ambas as superf&iacute;cies, de forma que:<\/p><p class=\"has-text-align-center wp-block-paragraph\">F<sub><span id=\"urn:enhancement-e778463b-e8af-4c91-ad76-0b72bd9e05a7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">ATRITO<\/span> <\/sub>= F<sub> CENTR&Iacute;PETA<\/sub><\/p><p class=\"wp-block-paragraph\">Segundo os princ&iacute;pios f&iacute;sicos, as f&oacute;rmulas que determinam essas for&ccedil;as s&atilde;o tais que:<\/p><p class=\"wp-block-paragraph\">F<sub><span id=\"urn:enhancement-65aa8387-ee3a-4788-92be-38d565dffad2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">ATRITO<\/span> <\/sub>= &micro;. N &rArr; F<sub><span id=\"urn:enhancement-e3453829-8d84-4433-a033-a86dccb62f47\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">ATRITO<\/span> <\/sub>= &micro;. m.g<\/p><ul class=\"wp-block-list\">\n<li>&micro;: coeficiente de atrito do material;<\/li>\n\n\n\n<li>N: for&ccedil;a normal. Em geral, a for&ccedil;a normal &eacute; igual ao peso N = P = m.g ;<\/li>\n\n\n\n<li>m: massa do corpo; e<\/li>\n\n\n\n<li>g: acelera&ccedil;&atilde;o da gravidade.&nbsp;<\/li>\n<\/ul><p class=\"wp-block-paragraph\">F<sub>CENTR&Iacute;PETA <\/sub>= (m.V<sup>2<\/sup>) \/ R<\/p><ul class=\"wp-block-list\">\n<li>F<sub>CENTR&Iacute;PETA<\/sub>: for&ccedil;a centr&iacute;peta;<\/li>\n\n\n\n<li>m: massa do corpo;<\/li>\n\n\n\n<li>V: velocidade do corpo (em m\/s)<\/li>\n\n\n\n<li>R: raio da trajet&oacute;ria circular em quest&atilde;o (em metros).<\/li>\n<\/ul><p class=\"wp-block-paragraph\">Reunindo ambas as f&oacute;rmulas:<\/p><p class=\"has-text-align-center wp-block-paragraph\">&micro;. m.g =&nbsp; (m.V<sup>2<\/sup>) \/ R<\/p><p class=\"wp-block-paragraph\">Conforme a f&oacute;rmula est&aacute; constru&iacute;da, &eacute; poss&iacute;vel ver que a massa &eacute; um fator multiplicador em ambos os lados da equa&ccedil;&atilde;o, ent&atilde;o elas podem ser desprezadas no c&aacute;lculo. Todos os outros dados foram fornecidos pelo enunciado, mas &eacute; importante fazer as convers&otilde;es de unidades:<\/p><p class=\"has-text-align-center wp-block-paragraph\">&micro;.g =&nbsp; V<sup>2<\/sup> \/ R<\/p><ul class=\"wp-block-list\">\n<li>V = 108 km\/h = 30 m\/s&nbsp;<\/li>\n\n\n\n<li>g = 10 m\/s<sup>2<\/sup><\/li>\n\n\n\n<li>R = 120 m<\/li>\n<\/ul><p class=\"has-text-align-center wp-block-paragraph\">&micro;.10 =&nbsp; 30<sup>2<\/sup> \/ 120<br>&micro;.10 =&nbsp; 900 \/ 120<br>&micro;.10=&nbsp; 90 \/ 12<br>&micro;.10=&nbsp; 30\/4<br>&micro;.10=&nbsp; 15\/2<br>&micro;.10 =&nbsp; 7,5<br>&micro; = 0,75<\/p><p class=\"wp-block-paragraph\"><strong>Alternativa correta: <\/strong>B.&nbsp;<\/p><h2 class=\"wp-block-heading\" id=\"h-estude-para-as-provas-com-a-coruja\"><span class=\"ez-toc-section\" id=\"Estude-para-as-provas-com-a-Coruja\"><\/span>Estude para as provas com a Coruja!<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Nos pacotes do Estrat&eacute;gia Vestibulares, voc&ecirc; pode acessar trilhas estrat&eacute;gias, elas s&atilde;o compostas por cronogramas completos para te guiar sobre o que, como e quando estudar. Al&eacute;m disso, os Livros Digitais Interativos (LDI) te ajudam durante todo o processo de aprendizagem, voc&ecirc; ler, grifar e anotar e, quando precisar revisar, todas as informa&ccedil;&otilde;es estar&atilde;o dispon&iacute;veis.<\/p><p class=\"wp-block-paragraph\">A Coruja te proporciona tudo isso associado com aulas did&aacute;ticas, que te d&atilde;o a base de conhecimento necess&aacute;rio em todas as disciplinas. Clique no banner e saiba mais!<\/p><figure class=\"wp-block-image size-large\"><a href=\"https:\/\/gratis.estrategiaconcursos.com.br\/ev-ebook-livro-digital-interativo-2024\/\" target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" width=\"1024\" height=\"512\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/05\/Banner_Hero_Desktop-1-1024x512.jpg\" alt=\"\" class=\"wp-image-117037\" srcset=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/05\/Banner_Hero_Desktop-1-1024x512.jpg 1024w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/05\/Banner_Hero_Desktop-1-768x384.jpg 768w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/05\/Banner_Hero_Desktop-1-1536x768.jpg 1536w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/05\/Banner_Hero_Desktop-1-800x400.jpg 800w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/05\/Banner_Hero_Desktop-1-1160x580.jpg 1160w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/05\/Banner_Hero_Desktop-1.jpg 1800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure><\/p>\n","protected":false},"excerpt":{"rendered":"A for&ccedil;a centr&iacute;peta &eacute; uma grandeza vetorial que atua sobre corpos que est&atilde;o em uma trajet&oacute;ria circular no&hellip;\n","protected":false},"author":23,"featured_media":118629,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[28],"tags":[],"class_list":["post-118647","post","type-post","status-publish","format-standard","has-post-thumbnail","category-fisica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.9 (Yoast SEO v28.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ 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