{"id":8470,"date":"2022-03-14T09:00:00","date_gmt":"2022-03-14T12:00:00","guid":{"rendered":"https:\/\/professorpinguim.com.br\/blog\/?p=8470"},"modified":"2023-08-06T21:01:04","modified_gmt":"2023-08-07T00:01:04","slug":"exercicios-de-mcu-movimento-circular-uniforme","status":"publish","type":"post","link":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/","title":{"rendered":"Exerc\u00edcios de MCU | Movimento Circular Uniforme"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Beleza, galerinha? Hoje vamos resolver juntos alguns exerc\u00edcios sobre MCU: movimento circular uniforme. Para refrescar a mem\u00f3ria, vamos rever alguns conceitos e f\u00f3rmulas importantes.<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">Deslocamento no MCU<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Como o pr\u00f3prio nome sugere, no movimento circular uniforme a trajet\u00f3ria percorrida pelos corpos \u00e9 circular. Veja a figura:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/829WhYMKXZGM15-yZlEzii6MyLOYouiFjIeMrWsXdp9QOi-aEoQ-SOkOU2KOnHPClwHptAuEAB7qqAfa3zhRNHL938X9cQ4jbpnB10SL4Y5vJ03KHJ_-L42G8lg1E9RBpQ49KFi5ZUJNW3amKmD6Vg\" width=\"184\" height=\"186\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">R: raio: medido em metro (m).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0394s: deslocamento linear: medido em metro (m).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0394\u03c6: deslocamento angular: adimensional.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nesse sentido, podemos estabelecer uma rela\u00e7\u00e3o entre o raio, o arco e o \u00e2ngulo. Lembre-se de que o \u00e2ngulo central \u00e9 a medida do arco dividida pela medida do raio:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/Nol67hM0enCfy5Fr527bnDDDlFga06idyikv0WpzvI8w6kGSAHiH4U8dbUNYmoqjNpd0cEwHviR9-2Yf9gfcFwnyHJlOrJxNVacewHJm9vSyFzLSpevOg7hk9GMnkdjOVMnk6SjL-dHpO6BUV0rL7g\" width=\"81\" height=\"49\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Veja que, se o corpo descrever uma volta completa, ou seja, 360\u00ba (2\u03c0 rad), podemos adaptar a f\u00f3rmula para: <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0394s = 2\u03c0 . R.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Per\u00edodo (T) e frequ\u00eancia (f)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Todo movimento que \u00e9 peri\u00f3dico se repete de tempos em tempos em intervalos iguais. Esse tempo de repeti\u00e7\u00e3o de 1 volta \u00e9 chamado de per\u00edodo (T).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">J\u00e1 a frequ\u00eancia (f) se refere ao n\u00famero de repeti\u00e7\u00f5es (N) em um intervalo de tempo (\u0394t). A frequ\u00eancia pode ser calculada da seguinte forma:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/Am7z9WwNERviDl-4RpsuwPJHsKcpnudYRxJ1tNNwa72qlWbSxboXMNzHKsj8cdIYngba_58RT-1LjEHLnqZzIKiP1rWLAETMimnvAUBfT7gxKpQilLeGiO1pmt9XmFfqL5wV7u-B5RuH49GsvDvDRw\" width=\"60\" height=\"49\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Vamos lembrar que quando o corpo der uma volta, o tempo ser\u00e1 igual ao per\u00edodo. Nesse caso, a frequ\u00eancia \u00e9 igual ao inverso do per\u00edodo:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/Zm_DqfJ3ePPNvMDfBJarclsT7V-98oxvsL8I9O--lWuLzvkXmNVLM1fGf7mln_We5jtYqS2vM_QFYj_yyzJeLpe-3PF8NRF3oEr5ugtcdTHgIT9eK5tQz5E3QQfxCW82_DREY6mECmFIYKt_81WGeQ\" width=\"58\" height=\"51\"><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Velocidade angular<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A velocidade angular (\u03c9) representa a raz\u00e3o entre o \u00e2ngulo descrito (\u0394\u03c6) e o intervalo de tempo (\u0394t). Sua f\u00f3rmula \u00e9 a seguinte:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/rlYqZbk3KQUbPIiaEiAOQ9o0BpmfBAPbSLpGQZYZ8Wt3EwEmciEFCYYjm5BlYjoovJ4Kvv7EK3vve2H3jxc7DfWBp8Zid0h3hAB67L2kTRmL9ziPyWK6na0owpTqRvWtk7UWN43ondRUMfZ0rr5iYQ\" width=\"72\" height=\"43\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Em muitas quest\u00f5es, vamos utilizar uma volta como refer\u00eancia. Quando um corpo der uma volta, ele percorrer\u00e1 2\u03c0 e o tempo ser\u00e1 igual ao per\u00edodo. Ent\u00e3o:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/TfpLLlfMFoTT7Pfjfd1BsSwgIPTkYwt2t9YfFe-lLcEq0Nup7bcZltwMd7GFi1gXXGhbaFSWaXZom5rHUndmGEUZGj1RIOsObkM8PetbNuYQVsQdHeWXCd9BcKPgm_hewOLtuGbqeR3WiMsSyF10gw\" width=\"72\" height=\"44\"><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Velocidade linear<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Se d\u00e1 pela raz\u00e3o entre o arco percorrido (\u0394s) e o intervalo de tempo (\u0394t):<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/3gOOV7QoWJlTsYr3NJH16KS9UXRk4eqPlZ-IWjnItj0aReeFmQ6naF-oI8UCpDm5fqNF0Fw-hdnQRhfgA6hdmjfRpQ_Hp6YnZeYc5H03kJsCMW4o8o5mofDvFbmtF0RMJ38o5-KACsJ_aFmARKq4Tw\" width=\"57\" height=\"43\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Importante: quando o corpo der apenas uma volta, a dist\u00e2ncia percorrida \u00e9 igual ao comprimento da circunfer\u00eancia e o tempo \u00e9 igual ao per\u00edodo. Assim:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/gRWVIn_u8BgEGOnrqG6fHM8RRlYde-0Ze7NiIzsU2oGuv9i8u40-b34a8FhrdEDoU0Tu7vHIw43ExxhNjnl0-caIf0tGaDyPmglLZJkvUb2mejjGWsjIIikDXKQGVIvWHntP6XOQw9r9eBsPYtK85Q\" width=\"77\" height=\"40\"><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Acelera\u00e7\u00e3o no MCU<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Existem duas componentes para a acelera\u00e7\u00e3o em um movimento: o que altera o m\u00f3dulo da velocidade \u00e9 chamado de acelera\u00e7\u00e3o tangencial (at). Em movimento uniforme, at = 0, porque a velocidade n\u00e3o muda em m\u00f3dulo.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Por\u00e9m, como o corpo est\u00e1 em uma curva, o outro componente, que \u00e9 a acelera\u00e7\u00e3o centr\u00edpeta (ac) n\u00e3o pode ser nula. Nesse caso, ela altera a dire\u00e7\u00e3o da velocidade vetorial.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para calcular a acelera\u00e7\u00e3o centr\u00edpeta, precisamos da velocidade linear. Dessa forma, teremos que:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/qSDnKVfAuWH5YwV5FGHrNv2Z6LXwpRugo6d0mgaI5GLysDxH9x1igcBuZ-jdhxHiVv-rpToaWwwZfqz2xhmOacMwjFeRpsX5cV_BhEloMN-Xf-it4ZxanQ_NKmAZY8V9i5zoADZ33wMd5NpQOX23qw\" width=\"66\" height=\"43\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Em alguns casos, podemos calcular a acelera\u00e7\u00e3o centr\u00edpeta nos lembrando que v = \u03c9 . R. Substituindo na f\u00f3rmula, chegaremos a: <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ac = \u03c9\u00b2 . R<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/professorpinguim.com.br\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"488\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1024x488.png\" alt=\"\" class=\"wp-image-19814\" srcset=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1024x488.png 1024w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-300x143.png 300w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-768x366.png 768w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-670x319.png 670w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1060x505.png 1060w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG.png 1280w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption>Cursos de F\u00edsica do Pinguim<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Exerc\u00edcios sobre MCU<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Quest\u00e3o 1<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(UNICAMP) As ag\u00eancias espaciais NASA (norte-americana) e ESA (europeia) desenvolvem um projeto para desviar a trajet\u00f3ria de um asteroide atrav\u00e9s da colis\u00e3o com uma sonda especialmente enviada para esse fim. A previs\u00e3o \u00e9 que a sonda DART (do ingl\u00eas, \u201cTeste de Redirecionamento de Asteroides Duplos\u201d) ser\u00e1 lan\u00e7ada com a finalidade de se chocar, em 2022, com Didymoon, um pequeno asteroide que orbita um asteroide maior chamado Didymos.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>O asteroide sat\u00e9lite Didymoon descreve uma \u00f3rbita circular em torno do asteroide principal Didymos. O raio da \u00f3rbita \u00e9 r = 1,6 km e o per\u00edodo \u00e9 T = 12 h. A acelera\u00e7\u00e3o centr\u00edpeta do sat\u00e9lite vale:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) 8,0&#215;10-<sup>1<\/sup> km\/h\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) 4,0&#215;10<sup>-1<\/sup> km\/h\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c) 3,125&#215;10<sup>-1<\/sup> km\/h\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d) 6,667&#215;10<sup>-2<\/sup> km\/h\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para descobrirmos a acelera\u00e7\u00e3o centr\u00edpeta, temos a f\u00f3rmula:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/qSDnKVfAuWH5YwV5FGHrNv2Z6LXwpRugo6d0mgaI5GLysDxH9x1igcBuZ-jdhxHiVv-rpToaWwwZfqz2xhmOacMwjFeRpsX5cV_BhEloMN-Xf-it4ZxanQ_NKmAZY8V9i5zoADZ33wMd5NpQOX23qw\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">N\u00e3o temos a velocidade. Como isso \u00e9 MCU, lembre-se que a velocidade \u00e9 dada pela f\u00f3rmula:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/3gOOV7QoWJlTsYr3NJH16KS9UXRk4eqPlZ-IWjnItj0aReeFmQ6naF-oI8UCpDm5fqNF0Fw-hdnQRhfgA6hdmjfRpQ_Hp6YnZeYc5H03kJsCMW4o8o5mofDvFbmtF0RMJ38o5-KACsJ_aFmARKq4Tw\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Como o per\u00edodo dado \u00e9 o tempo de 1 volta, usamos:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/gRWVIn_u8BgEGOnrqG6fHM8RRlYde-0Ze7NiIzsU2oGuv9i8u40-b34a8FhrdEDoU0Tu7vHIw43ExxhNjnl0-caIf0tGaDyPmglLZJkvUb2mejjGWsjIIikDXKQGVIvWHntP6XOQw9r9eBsPYtK85Q\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Assim, basta substituir na f\u00f3rmula da acelera\u00e7\u00e3o centr\u00edpeta:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/qSDnKVfAuWH5YwV5FGHrNv2Z6LXwpRugo6d0mgaI5GLysDxH9x1igcBuZ-jdhxHiVv-rpToaWwwZfqz2xhmOacMwjFeRpsX5cV_BhEloMN-Xf-it4ZxanQ_NKmAZY8V9i5zoADZ33wMd5NpQOX23qw\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/_hwzI8C8upUHA1Zh6s6H7wRp1_RMmiJo69cR6On3QhdFf8obojc9NQvwi-bATQQ55SIHyV6_bKU75WkqTVxueJlbuFX8rDgUfl9-7gIDgksOduy_X3aUMtIhGgx4Ed49aFfP4N8NQAZZs8q8YeIitA\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/N8rwtu1tEfysSARyZcRPk3d9uDO83JFN-yYbl1dGoSXzJjqs2bqRayOj_CIolgUKzIINCpGuH4xd6QtIOXZx-2UIvugO8unXou16G02qqEplG1_k-C7TvQGcsRcNjAeLl-IlJo9tqp4VPIzBcvx1kw\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">O enunciado n\u00e3o nos forneceu, mas podemos usar uma aproxima\u00e7\u00e3o. Se pi vale aproximadamente 3,14, isso ao quadrado \u00e9 praticamente 10. Ent\u00e3o:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/47KKHUPVXTMcbS8nARclO4Jp7ReVIBiJsRGeQI5dxoZzHteUheXZVZcx6_RQP7c63cSYZ2_hFJ9Qs5v6tSYc7ub0ZSQRL9M8AwKhep0GlCZuilJJJhkZD2ixMQetGa-ZY8NSdepYkl4g0E70umfbog\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">a<sub>c<\/sub> \u2245 0,44 km\/h\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>RESPOSTA: B<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Quest\u00e3o 2<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(Ufu) Filmes de fic\u00e7\u00e3o cient\u00edfica, que se passam no espa\u00e7o sideral, costumam mostrar habitats girat\u00f3rios que fornecem uma gravidade artificial, de modo que as pessoas se sintam como se estivessem na Terra. Imagine um desses h\u00e1bitats em um local livre da influ\u00eancia significativa de outros campos gravitacionais, com raio de 1 Km e com pessoas habitando a borda interna do cilindro. Esse cen\u00e1rio, nessas condi\u00e7\u00f5es, reproduz algo muito pr\u00f3ximo \u00e0 acelera\u00e7\u00e3o da gravidade de 10 m\/s<\/strong><strong><sup>2<\/sup><\/strong><strong> desde que a frequ\u00eancia com que o h\u00e1bitat rotaciona seja, aproximadamente, de<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) 2 rpm.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) 1 rpm.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c) 20 rpm.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d) 60 rpm.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>RESOLU\u00c7\u00c3O:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Essa quest\u00e3o pode ser resolvida de duas maneiras: usando que a for\u00e7a normal \u00e9 a resultante do tipo centr\u00edpeta (R<sub>CP<\/sub> = N) ou usando que a acelera\u00e7\u00e3o centr\u00edpeta \u00e9 igual \u00e0 gravidade (a<sub>C<\/sub> = g).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Isso porque a ideia \u00e9 que as pessoas tenham a sensa\u00e7\u00e3o de estar na Terra, isto \u00e9 a normal (N) \u00e9 igual ao peso (P) que a pessoa sente na Terra. Veja o que acontece:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">R<sub>CP<\/sub> = N<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">m . a<sub>C<\/sub> = m . g<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a<sub>C<\/sub> = g<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para descobrir a frequ\u00eancia, precisamos de uma f\u00f3rmula que nos permita colocar a frequ\u00eancia na acelera\u00e7\u00e3o centr\u00edpeta. Veja que temos:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/JnN2Y8cbIRV3v9WQPn56Rn5O60575elJraPQu4fsQ7ke506afftT_I_e1m7c2Y4DhnhiSMJqhBVlC2ji6hX0LCuSWTynyzmdnUOHFnjH2UrsE6hEtXedg_GMI10xkJws4W_sHVnbudL42vSwyP-x5Q\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Agora, vamos lembrar que este \u00e9 um movimento uniforme, ou seja, basta utilizarmos:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/3gOOV7QoWJlTsYr3NJH16KS9UXRk4eqPlZ-IWjnItj0aReeFmQ6naF-oI8UCpDm5fqNF0Fw-hdnQRhfgA6hdmjfRpQ_Hp6YnZeYc5H03kJsCMW4o8o5mofDvFbmtF0RMJ38o5-KACsJ_aFmARKq4Tw\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Lembre-se de quando o corpo d\u00e1 1 volta, a dist\u00e2ncia \u00e9 igual ao per\u00edmetro (2\u03c0R), e o tempo de 1 volta chama-se per\u00edodo. Portanto:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/DSG-Ra1cPghkuqCVguJMOiYP_62jq6n5c6MF-j0uuhJe3k7bpf7rAZCt1PrYQ19_UWBOS1mf4NAiP32S9pl6ITBvd0VKys3QakUqDlB_q9NHwTAkAZ2cOMWg-E1aXWApYKfk1KdY18zdAaOE6nmMIw\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Vamos recordar tamb\u00e9m que a frequ\u00eancia \u00e9 igual ao inverso do per\u00edodo:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/Zm_DqfJ3ePPNvMDfBJarclsT7V-98oxvsL8I9O--lWuLzvkXmNVLM1fGf7mln_We5jtYqS2vM_QFYj_yyzJeLpe-3PF8NRF3oEr5ugtcdTHgIT9eK5tQz5E3QQfxCW82_DREY6mECmFIYKt_81WGeQ\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Juntando tudo:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">v = 2\u03c0 .R . f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Agora, temos que substituir l\u00e1 na primeira f\u00f3rmula:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/oqpHB2kLbSk50hZYTTO7f89Hg_Hq0A9Y3HiskHSte2l0mLLULsyTZcbY6T-sAcVBFzlklBKjGK-Y4YZXeqRAcIMGY8Lqj5VITas6GfkGa-CRpyLmKoaNFxzBRoKOxpKCO5TLXJDu6ttB43oOy9orSw\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">g = 4\u03c0\u00b2 . R . f\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">10 = 4\u03c0\u00b2 . 10\u00b3 . f\u00b2<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/OBFH9-1l9MK2DC8810OUf9EMMUk2FeD6FDhGgLKUw_vjyFo2vQ3IV2R0qcghfd8jTggPIXltkzT9WUH2BvsDkbB8aEl9ysrXW3nvP9469wB5lt3pmfUykJmVNhr7697qaWkN9z6vciS4-RVSxG9dcg\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/Ow8zjS3gtbJ1oiPFl4nv2UT5p7dz5q4QMzSQewaH2EFrwH96iH-VL0s0z4MNkfyvO9GHh1TuSnUTMoxspzG2Qi4xt22kstnz4pu0mcPpzdkLdDC-1X6sm5l7Y4ji6-n9__hWJEa3n6zLbR9qEnuP1Q\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Repare que encontramos a frequ\u00eancia em hertz (Hz), e a quest\u00e3o nos pede o resultado em rpm. Para fazer essa convers\u00e3o, temos que lembrar que 1 Hz = 60 rpm:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/9w0fY5vYJptK3yCxun5UZUPD_RUpudTEeCNpiIAu9_e8LcC8iXqv2z6OJFWYeTECqb5cjWf-xG-dPx0vXWBmQh0dGOfNfQt9_tEOnp1iDdL5SpN3sHA9V_nVz4nW17bVDI5wZ6IqgrcYfLDisfHz9A\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/RyOR-1djU7a85k31t8DHlJi-ZMzj97S3ZqJr_RQx8soRL_bK2GjaCzpUhPfAvi2ooEWvKQ4okGke2Dm7NpEiGalqtPfu8w3BFgEAykALkkY7AeCQ9gaOVarf_J9KR4hCcrApLP7uWO3ROJxgXUsZRQ\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">f \u2245 1 rpm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>RESPOSTA: B<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Para aprender mais: <\/h3>\n\n\n\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Exerc\u00edcios de MCU | Movimento Circular Uniforme | [Professor Pinguim]\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/xz6gF204Ge0?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">Espero que voc\u00ea tenha entendido um pouco melhor como resolver exerc\u00edcios sobre movimento circular uniforme. E se quiser ajuda para melhorar seu n\u00edvel de F\u00edsica em outras mat\u00e9rias,<a href=\"https:\/\/professorpinguim.com.br\/\"> entre em contato comigo e escolha o curso de F\u00edsica mais adequado para voc\u00ea<\/a>!<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/professorpinguim.com.br\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"488\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1024x488.png\" alt=\"\" class=\"wp-image-19814\" srcset=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1024x488.png 1024w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-300x143.png 300w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-768x366.png 768w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-670x319.png 670w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG-1060x505.png 1060w, https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2023\/02\/EXTENSIVO-BLOG.png 1280w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption>Cursos de F\u00edsica do Pinguim<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>SAIBA MAIS<\/strong><br>\u2705 <a rel=\"noreferrer noopener\" href=\"https:\/\/professorpinguim.com.br\/blog\/movimento-circular-uniforme\/\" target=\"_blank\"><strong>Aprenda tudo sobre Movimento Circular Uniforme<\/strong><\/a><br>\u2705&nbsp;<strong><a rel=\"noreferrer noopener\" href=\"https:\/\/professorpinguim.com.br\/blog\/para-treinar-exercicios-de-cinematica-vetorial\/\" target=\"_blank\">Exerc\u00edcios sobre cinem\u00e1tica vetorial<\/a><\/strong><br>\u2705&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-composicao-dos-movimentos\/\" target=\"_blank\"><strong>Quest\u00f5es sobre Composi\u00e7\u00e3o dos Movimentos<\/strong><\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Me acompanhe nas redes sociais: curta a minha&nbsp;<a href=\"https:\/\/www.facebook.com\/professorpinguim\/\"><strong>p\u00e1gina no Facebook<\/strong><\/a><strong>,<\/strong>&nbsp;me&nbsp;siga no&nbsp;<a href=\"https:\/\/www.instagram.com\/professorpinguim\/\"><strong>Instagram<\/strong><\/a><strong>,<\/strong>&nbsp;se inscreva no&nbsp;<a href=\"https:\/\/www.youtube.com\/c\/PinguimV%C3%ADdeoF%C3%ADsica\/?sub_confirmation=1\"><strong>Youtube<\/strong><\/a>&nbsp;e participe do meu canal oficial no&nbsp;<a href=\"https:\/\/professorpinguim.com.br\/telegram\"><strong>Telegram<\/strong><\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hoje vamos resolver juntos alguns exerc\u00edcios sobre MCU: movimento circular uniforme. Para refrescar a mem\u00f3ria, vamos rever alguns conceitos e f\u00f3rmulas importantes.<\/p>\n","protected":false},"author":1,"featured_media":8474,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[420,744,999],"tags":[682,211,805,804,681,738],"class_list":["post-8470","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cinematica","category-exercicios-resolvidos","category-movimento-circular","tag-deslocamento-no-mcu","tag-exercicios","tag-formulas","tag-mcu","tag-movimento-circular-uniforme","tag-velocidade"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Exerc\u00edcios de MCU | Movimento Circular Uniforme - Professor Pinguim | F\u00edsica<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Exerc\u00edcios de MCU | Movimento Circular Uniforme - Professor Pinguim | F\u00edsica\" \/>\n<meta property=\"og:description\" content=\"Hoje vamos resolver juntos alguns exerc\u00edcios sobre MCU: movimento circular uniforme. Para refrescar a mem\u00f3ria, vamos rever alguns conceitos e f\u00f3rmulas importantes.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/\" \/>\n<meta property=\"og:site_name\" content=\"Professor Pinguim | F\u00edsica\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Betminds.Digital\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-03-14T12:00:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-08-07T00:01:04+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/03\/mcu-exercicios-resolvidos-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2560\" \/>\n\t<meta property=\"og:image:height\" content=\"1708\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Professor Pinguim\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Professor Pinguim\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/\",\"url\":\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/\",\"name\":\"Exerc\u00edcios de MCU | Movimento Circular Uniforme - Professor Pinguim | F\u00edsica\",\"isPartOf\":{\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/#website\"},\"datePublished\":\"2022-03-14T12:00:00+00:00\",\"dateModified\":\"2023-08-07T00:01:04+00:00\",\"author\":{\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/dcbdcdaaf74b619f8b699c2454e5d536\"},\"breadcrumb\":{\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/#breadcrumb\"},\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"In\u00edcio\",\"item\":\"https:\/\/professorpinguim.com.br\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Exerc\u00edcios de MCU | Movimento Circular Uniforme\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/#website\",\"url\":\"https:\/\/professorpinguim.com.br\/blog\/\",\"name\":\"Professor Pinguim | F\u00edsica\",\"description\":\"F\u00edsica para Vestibular Paulista, ENEM e Ensino M\u00e9dio\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/professorpinguim.com.br\/blog\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-BR\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/dcbdcdaaf74b619f8b699c2454e5d536\",\"name\":\"Professor Pinguim\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-BR\",\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/ffd75b6cb46865dcea0fd25e6b0348a12def6ae98b940d19c65c9a512d1f0cf6?s=96&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/ffd75b6cb46865dcea0fd25e6b0348a12def6ae98b940d19c65c9a512d1f0cf6?s=96&r=g\",\"caption\":\"Professor Pinguim\"},\"description\":\"A plataforma do Professor Pinguim \u00e9 dedicada ao ensino da F\u00edsica e vai te ensinar com uma metodologia completa essa incr\u00edvel mat\u00e9ria.\",\"sameAs\":[\"https:\/\/professorpinguim.com.br\/\"],\"url\":\"https:\/\/professorpinguim.com.br\/blog\/author\/admin\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Exerc\u00edcios de MCU | Movimento Circular Uniforme - Professor Pinguim | F\u00edsica","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/","og_locale":"pt_BR","og_type":"article","og_title":"Exerc\u00edcios de MCU | Movimento Circular Uniforme - Professor Pinguim | F\u00edsica","og_description":"Hoje vamos resolver juntos alguns exerc\u00edcios sobre MCU: movimento circular uniforme. Para refrescar a mem\u00f3ria, vamos rever alguns conceitos e f\u00f3rmulas importantes.","og_url":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/","og_site_name":"Professor Pinguim | F\u00edsica","article_publisher":"https:\/\/www.facebook.com\/Betminds.Digital\/","article_published_time":"2022-03-14T12:00:00+00:00","article_modified_time":"2023-08-07T00:01:04+00:00","og_image":[{"width":2560,"height":1708,"url":"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/03\/mcu-exercicios-resolvidos-scaled.jpg","type":"image\/jpeg"}],"author":"Professor Pinguim","twitter_card":"summary_large_image","twitter_misc":{"Escrito por":"Professor Pinguim","Est. tempo de leitura":"5 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/","url":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/","name":"Exerc\u00edcios de MCU | Movimento Circular Uniforme - Professor Pinguim | F\u00edsica","isPartOf":{"@id":"https:\/\/professorpinguim.com.br\/blog\/#website"},"datePublished":"2022-03-14T12:00:00+00:00","dateModified":"2023-08-07T00:01:04+00:00","author":{"@id":"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/dcbdcdaaf74b619f8b699c2454e5d536"},"breadcrumb":{"@id":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/#breadcrumb"},"inLanguage":"pt-BR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/professorpinguim.com.br\/blog\/exercicios-de-mcu-movimento-circular-uniforme\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"In\u00edcio","item":"https:\/\/professorpinguim.com.br\/blog\/"},{"@type":"ListItem","position":2,"name":"Exerc\u00edcios de MCU | Movimento Circular Uniforme"}]},{"@type":"WebSite","@id":"https:\/\/professorpinguim.com.br\/blog\/#website","url":"https:\/\/professorpinguim.com.br\/blog\/","name":"Professor Pinguim | F\u00edsica","description":"F\u00edsica para Vestibular Paulista, ENEM e Ensino M\u00e9dio","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/professorpinguim.com.br\/blog\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"pt-BR"},{"@type":"Person","@id":"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/dcbdcdaaf74b619f8b699c2454e5d536","name":"Professor Pinguim","image":{"@type":"ImageObject","inLanguage":"pt-BR","@id":"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/ffd75b6cb46865dcea0fd25e6b0348a12def6ae98b940d19c65c9a512d1f0cf6?s=96&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/ffd75b6cb46865dcea0fd25e6b0348a12def6ae98b940d19c65c9a512d1f0cf6?s=96&r=g","caption":"Professor Pinguim"},"description":"A plataforma do Professor Pinguim \u00e9 dedicada ao ensino da F\u00edsica e vai te ensinar com uma metodologia completa essa incr\u00edvel mat\u00e9ria.","sameAs":["https:\/\/professorpinguim.com.br\/"],"url":"https:\/\/professorpinguim.com.br\/blog\/author\/admin\/"}]}},"_links":{"self":[{"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/posts\/8470","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/comments?post=8470"}],"version-history":[{"count":7,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/posts\/8470\/revisions"}],"predecessor-version":[{"id":19815,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/posts\/8470\/revisions\/19815"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/media\/8474"}],"wp:attachment":[{"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/media?parent=8470"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/categories?post=8470"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/professorpinguim.com.br\/blog\/wp-json\/wp\/v2\/tags?post=8470"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}