{"id":440,"date":"2023-06-18T01:54:59","date_gmt":"2023-06-18T01:54:59","guid":{"rendered":"https:\/\/physigeek.com\/pt\/leis-do-pendulo\/"},"modified":"2023-06-18T01:54:59","modified_gmt":"2023-06-18T01:54:59","slug":"leis-do-pendulo","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/leis-do-pendulo\/","title":{"rendered":"Leis do p\u00eandulo"},"content":{"rendered":"<p>Este artigo explica quais s\u00e3o as quatro leis do p\u00eandulo. Assim, voc\u00ea encontrar\u00e1 a explica\u00e7\u00e3o de cada lei do p\u00eandulo e, al\u00e9m disso, poder\u00e1 ver qual \u00e9 a f\u00f3rmula que resume as quatro leis do p\u00eandulo. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFCuales-son-las-leyes-del-pendulo\"><\/span> Quais s\u00e3o as leis do p\u00eandulo?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> As <strong>leis do p\u00eandulo<\/strong> s\u00e3o:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Lei da independ\u00eancia das massas.<\/strong><\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Lei do isocronismo.<\/strong><\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Lei dos comprimentos.<\/strong><\/span><\/li>\n<li style=\"margin-bottom:14px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Lei das acelera\u00e7\u00f5es da gravidade.<\/strong><\/span><\/li>\n<\/ul>\n<p> Cada uma das quatro leis do p\u00eandulo simples \u00e9 explicada abaixo. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ley-de-la-independencia-de-la-masa\"><\/span> Lei da independ\u00eancia das massas<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> A <strong>lei da independ\u00eancia da massa<\/strong> diz que o per\u00edodo do p\u00eandulo \u00e9 independente da massa suspensa no fio.<\/p>\n<p> Portanto, a massa do corpo que realiza o movimento pendular n\u00e3o altera o per\u00edodo de oscila\u00e7\u00e3o. Assim, dois p\u00eandulos de massas diferentes ter\u00e3o o mesmo per\u00edodo se os comprimentos de seus fios forem iguais. <\/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-e05b4d3deebb449e973b6419543998ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c}m_1>m_2\\\\[3ex]\\ell_1=\\ell_2 \\end{array}\\right\\} \\color{orange}\\bm{\\longrightarrow}\\color{ noir}\\ T_1=T_2&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;65&#8243; width=&#8221;278&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ley-del-isocronismo\"><\/span>Lei do isocronismo<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> A <strong>lei do isocronismo<\/strong> afirma que o per\u00edodo de oscila\u00e7\u00e3o de um p\u00eandulo n\u00e3o depende da amplitude do p\u00eandulo.<\/p>\n<p> Isso significa que o per\u00edodo de movimento do p\u00eandulo n\u00e3o ser\u00e1 maior se a amplitude do p\u00eandulo for maior, ou, inversamente, o per\u00edodo de oscila\u00e7\u00e3o n\u00e3o ser\u00e1 menor se a amplitude do p\u00eandulo for menor.<\/p>\n<p> Assim, se dois p\u00eandulos tiverem o mesmo comprimento de corda, seus per\u00edodos ser\u00e3o equivalentes mesmo que suas amplitudes sejam diferentes. <\/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-1061057dc015a2b6fecba4e70317aa2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c}A_1>A_2\\\\[3ex]\\ell_1=\\ell_2 \\end{array}\\right\\} \\color{orange}\\bm{\\longrightarrow}\\color{ noir}\\ T_1=T_2&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;65&#8243; width=&#8221;274&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ley-de-las-longitudes\"><\/span> lei dos comprimentos<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> A <strong>lei do comprimento<\/strong> afirma que o per\u00edodo de oscila\u00e7\u00e3o de um p\u00eandulo \u00e9 proporcional ao comprimento de sua corda. Portanto, quanto mais longo for o fio do p\u00eandulo, maior ser\u00e1 o seu per\u00edodo de oscila\u00e7\u00e3o.<\/p>\n<p> Portanto, se dois p\u00eandulos tiverem comprimentos de corda diferentes, o p\u00eandulo com o comprimento de corda maior ter\u00e1 um per\u00edodo maior. <\/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-b0b16c4adc643591ad3ca745339ed097_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\ell_1>\\ell_2 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ T_1>T_2&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;16&#8243; width=&#8221;247&#8243; style=&#8221;vertical-align: -4px;&#8221;><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ley-de-las-aceleraciones-de-las-gravedades\"><\/span> Lei das acelera\u00e7\u00f5es da gravidade<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> A <strong>lei da acelera\u00e7\u00e3o da gravidade<\/strong> diz que a acelera\u00e7\u00e3o da gravidade \u00e9 inversamente proporcional ao per\u00edodo de oscila\u00e7\u00e3o do p\u00eandulo. Ou seja, quanto maior a gravidade do local onde o p\u00eandulo est\u00e1 localizado, menor ser\u00e1 o per\u00edodo de oscila\u00e7\u00e3o do movimento do p\u00eandulo.<\/p>\n<p> Por exemplo, se estud\u00e1ssemos um p\u00eandulo na superf\u00edcie da Terra e depois coloc\u00e1ssemos exatamente o mesmo p\u00eandulo na superf\u00edcie da Lua, ver\u00edamos que seu per\u00edodo aumentaria (oscilaria mais lentamente), j\u00e1 que a gravidade da Lua (1,62 m\/s <sup>2<\/sup> ) \u00e9 menor que a gravidade da Terra (9,81 m\/s <sup>2<\/sup> ).<\/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-c2f02db5ef3be4715e574a485099e5c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g_1>g_2 \\ \\color{orange}\\bm{\\longrightarrow}\\color{noir}\\ T_1<\/p>\n<h2 class=&quot;wp-block-heading&quot;><span class=&quot;ez-toc-section&quot; id=&quot;Formula-de-las-leyes-del-pendulo&quot;><\/span> Formule des lois du pendule<span class=&quot;ez-toc-section-end&quot;><\/span><\/h2>\n<p> Les quatre lois du pendule sont r\u00e9sum\u00e9es dans la formule utilis\u00e9e pour calculer la p\u00e9riode d&#8217;oscillation d&#8217;un <a href=&quot;https:\/\/physigeek.com\/mouvement-pendulaire\/&quot;>mouvement pendulaire<\/a> . Ainsi, la formule des lois du pendule est la suivante : [latex]\\displaystyle T=2\\pi\\sqrt{\\frac{l}{g}}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;204&#8243; width=&#8221;800&#8243; style=&#8221;vertical-align: -21px;&#8221;><\/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-7e093fd43ad2c244140c11afe4d4bdff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"T\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o per\u00edodo do movimento do p\u00eandulo. <\/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-b6280786295cb6f54ae2e0ac2b803e5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"l\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"5\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o comprimento da corda do p\u00eandulo. <\/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-e88010d25c51c0c42c505ee1004ed182_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 a acelera\u00e7\u00e3o da gravidade, cujo valor na Terra \u00e9 9,81 m\/s <sup>2<\/sup> .<\/span><\/li>\n<\/ul>\n<p> Concluindo, da f\u00f3rmula anterior podemos deduzir que o per\u00edodo de um p\u00eandulo depende apenas do comprimento do seu fio e da acelera\u00e7\u00e3o da gravidade.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica quais s\u00e3o as quatro leis do p\u00eandulo. Assim, voc\u00ea encontrar\u00e1 a explica\u00e7\u00e3o de cada lei do p\u00eandulo e, al\u00e9m disso, poder\u00e1 ver qual \u00e9 a f\u00f3rmula que resume as quatro leis do p\u00eandulo. Quais s\u00e3o as leis do p\u00eandulo? As leis do p\u00eandulo s\u00e3o: Lei da independ\u00eancia das massas. Lei do isocronismo. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/leis-do-pendulo\/\"> <span class=\"screen-reader-text\">Leis do p\u00eandulo<\/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-440","post","type-post","status-publish","format-standard","hentry","category-cinematografico"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Leis do p\u00eandulo<\/title>\n<meta name=\"description\" content=\"Aqui voc\u00ea descobrir\u00e1 quais s\u00e3o as quatro leis do p\u00eandulo e qual \u00e9 a f\u00f3rmula que resume as quatro leis do p\u00eandulo.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/physigeek.com\/pt\/leis-do-pendulo\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Leis do p\u00eandulo\" \/>\n<meta property=\"og:description\" content=\"Aqui voc\u00ea descobrir\u00e1 quais s\u00e3o as quatro leis do p\u00eandulo e qual \u00e9 a f\u00f3rmula que resume as quatro leis do p\u00eandulo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/physigeek.com\/pt\/leis-do-pendulo\/\" 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