{"id":438,"date":"2023-06-18T02:41:54","date_gmt":"2023-06-18T02:41:54","guid":{"rendered":"https:\/\/physigeek.com\/id\/gerakan-pendulum\/"},"modified":"2023-06-18T02:41:54","modified_gmt":"2023-06-18T02:41:54","slug":"gerakan-pendulum","status":"publish","type":"post","link":"https:\/\/physigeek.com\/id\/gerakan-pendulum\/","title":{"rendered":"Gerakan pendulum"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu gerak pendulum dalam fisika dan apa saja ciri-cirinya. Demikian pula, Anda akan menemukan contoh gerak pendulum, rumus gerak pendulum, dan terakhir empat hukum yang menentukan gerak pendulum. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-movimiento-pendular\"><\/span> Apa itu gerak pendulum?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Gerak pendulum<\/strong> adalah gerakan yang dilakukan oleh suatu benda yang digantungkan pada pendulum. Artinya, gerak pendulum adalah suatu gerak yang menggambarkan suatu benda yang digantung pada suatu alas tetap yang berayun ke kiri dan ke kanan.<\/p>\n<p> Misalnya gerak yang dilakukan jam pendulum adalah gerak pendulum. Demikian pula gerakan yang dilakukan anak mengayun dan gerakan metronom juga merupakan contoh gerakan pendulum.<\/p>\n<p> Ciri utama gerak bandul adalah gerak periodik, karena massa yang digantung pada bandul melakukan gerakan berulang-ulang. Jadi massa berosilasi dari sisi ke sisi dan melewati posisi yang sama setiap selang waktu tertentu.<\/p>\n<p> Kondisi ini secara logis terpenuhi jika kita mengabaikan gesekan dengan udara. Jika tidak, jika kita memperhitungkan gesekan dengan udara, pendulum akan membuat osilasi yang semakin kecil hingga berhenti sepenuhnya. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Elementos-del-movimiento-pendular\"><\/span> Unsur gerak pendulum<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Gerakan pendulum terdiri dari unsur-unsur berikut:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Panjang (\u2113)<\/strong> : adalah panjang tali yang bergerak dari titik tetap bandul ke titik berat benda yang melakukan gerak bandul.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Osilasi<\/strong> : busur yang dilalui massa antara posisi ekstrim gerak pendulum ditambah kembalinya ke posisi semula.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Periode (T)<\/strong> : adalah waktu yang diperlukan untuk melakukan getaran.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Frekuensi (f)<\/strong> : adalah banyaknya osilasi yang dilakukan oleh gerak bandul per satuan waktu.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Sudut (\u03b8)<\/strong> : adalah sudut yang dibentuk oleh tali pendulum dan garis vertikal.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Amplitudo (\u0398)<\/strong> : adalah sudut yang dibentuk tali bandul ketika berada pada posisi ekstrim dan vertikal.<\/span> <\/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\/mouvement-pendulaire.png\" alt=\"gerakan pendulum\" class=\"wp-image-8900\" width=\"430\" height=\"346\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/mouvement-pendulaire-300x242.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/mouvement-pendulaire-768x619.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/mouvement-pendulaire.png 910w\" sizes=\"(max-width: 300px) 100vw, 300px\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formulas-del-movimiento-pendular\"><\/span> Rumus Gerak Pendulum<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Selanjutnya kita akan melihat apa saja rumus dasar gerak bandul, yaitu persamaan yang menjelaskan geraknya dan rumus yang memungkinkan kita menghitung periode osilasinya.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ecuacion-del-movimiento-pendular\"><\/span> Persamaan gerak pendulum<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Persamaan gerak pendulum menyatakan bahwa jumlah panjang tali dikali percepatan sudut ditambah percepatan gravitasi dikali sinus sudut tali terhadap vertikal sama dengan nol.<\/p>\n<p> Jadi, <strong>persamaan gerak bandulnya<\/strong> adalah:<\/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-e3eee8079515e6f467ccb9b2cf3b3eeb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\ell\\cdot \\ddot{\\theta}+g\\cdot \\text{sin}(\\theta)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"150\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Emas: <\/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-a01f1555785d2234d4294020a2e3968a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\ell\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah panjang pendulum. <\/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-273485de50bb5d8bc82bf426ab9a4bec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\ddot{\\theta}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah <a href=\"https:\/\/physigeek.com\/id\/percepatan-sudut\/\">percepatan sudut<\/a> . <\/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-7b2034939b850e3311120fca462ab64e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah sudut yang dibentuk tali pendulum terhadap vertikal. <\/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> adalah percepatan gravitasi yang nilainya di Bumi adalah 9,81 m\/s <sup>2<\/sup> . <\/span><\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Periodo-del-movimiento-pendular\"><\/span> Periode pendulum<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Untuk osilasi kecil, <a href=\"https:\/\/physigeek.com\/id\/periode-fisik\/\">periode osilasi<\/a> gerak bandul sama dengan dua kali pi dikalikan akar kuadrat hasil bagi antara panjang tali bandul dan percepatan gravitasi.<\/p>\n<p> Oleh karena itu, <strong>rumus menghitung periode osilasi gerak bandul<\/strong> dengan amplitudo osilasi kecil adalah sebagai berikut:<\/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-49774e684263aae5d8703f86c9ed09b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle T=2\\pi\\sqrt{\\frac{\\ell}{g}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"87\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Emas: <\/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> adalah periode gerak pendulum. <\/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-a01f1555785d2234d4294020a2e3968a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\ell\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah panjang tali pendulum. <\/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> adalah percepatan gravitasi yang nilainya di bumi adalah 9,81 m\/s <sup>2<\/sup> . <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Leyes-del-movimiento-pendular\"><\/span>Hukum gerak pendulum<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Gerakan pendulum ditentukan oleh empat hukum berikut:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Hukum kemerdekaan massa<\/strong> : dua buah bandul yang talinya mempunyai ukuran yang sama mempunyai periode yang sama berapapun massa yang digantungkan pada tali tersebut. Dengan kata lain, dua bandul yang massanya berbeda akan mempunyai periode yang sama jika panjang talinya sama.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Hukum isokronisme<\/strong> : periode gerak pendulum tidak bergantung pada amplitudo gerak. Jadi, jika dua bandul mempunyai panjang tali yang sama, periodenya akan tetap ekuivalen meskipun amplitudonya berbeda.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Hukum panjang<\/strong> : periode osilasi suatu gerak bandul sebanding dengan panjang tali bandul. Jadi, semakin besar panjang tali maka periode gerak pendulum semakin lama.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Hukum Percepatan Gravitasi<\/strong> : Percepatan gravitasi mempengaruhi periode osilasi gerak bandul, sehingga periode bandul akan berubah tergantung pada gaya gravitasi tempat tersebut. Semakin tinggi gaya gravitasi maka semakin pendek periode osilasi gerak pendulum.<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu gerak pendulum dalam fisika dan apa saja ciri-cirinya. Demikian pula, Anda akan menemukan contoh gerak pendulum, rumus gerak pendulum, dan terakhir empat hukum yang menentukan gerak pendulum. Apa itu gerak pendulum? Gerak pendulum adalah gerakan yang dilakukan oleh suatu benda yang digantungkan pada pendulum. Artinya, gerak pendulum adalah suatu gerak &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/id\/gerakan-pendulum\/\"> <span class=\"screen-reader-text\">Gerakan pendulum<\/span> Baca selengkapnya &quot;<\/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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 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