{"id":485,"date":"2023-06-15T01:15:21","date_gmt":"2023-06-15T01:15:21","guid":{"rendered":"https:\/\/physigeek.com\/id\/bandul\/"},"modified":"2023-06-15T01:15:21","modified_gmt":"2023-06-15T01:15:21","slug":"bandul","status":"publish","type":"post","link":"https:\/\/physigeek.com\/id\/bandul\/","title":{"rendered":"Bandul"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu pendulum dan apa saja ciri-cirinya. Selain itu, Anda akan dapat melihat apa saja jenis-jenis pendulum.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-pendulo\"><\/span> Apa itu pendulum?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Bandul<\/strong> terdiri dari suatu massa yang digantung pada suatu titik tetap dan dapat berosilasi bebas. Dengan kata lain, pendulum adalah sistem fisik yang terdiri dari suatu massa yang digantung pada suatu titik tetap dengan seutas kawat atau tali dan dapat berosilasi bebas di antara dua titik ekstrem.<\/p>\n<p> Ketika massa pendulum dipindahkan dari posisi diamnya, yaitu posisi setimbangnya, dan kemudian dilepaskan, massa tersebut mengalami percepatan menuju posisi setimbangnya di bawah pengaruh gravitasi. Kemudian massa akan mulai berosilasi dari sisi ke sisi hingga berhenti pada posisi setimbang akibat gesekan dengan udara.<\/p>\n<p> Misalnya, pergerakan bandul terlihat jelas pada jam bandul yang beratnya berayun berulang kali dari kiri ke kanan untuk mengukur waktu. Jadi, gerak osilasi yang dilakukan bandul disebut <a href=\"https:\/\/physigeek.com\/id\/gerakan-pendulum\/\">gerak bandul<\/a> .<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"El-pendulo-simple\"><\/span> Pendulum sederhana<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Pendulum sederhana<\/strong> , disebut juga <strong>pendulum matematika<\/strong> atau <strong>pendulum ideal<\/strong> , adalah suatu sistem yang terdiri dari partikel bermassa yang digantung pada suatu titik tetap oleh kawat dengan panjang tertentu.<\/p>\n<p> Dalam fisika, pendulum sederhana digunakan untuk mempelajari gerak osilasi suatu massa yang ditangguhkan. Jika suatu gaya diterapkan pada massa, massa akan berosilasi dari satu sisi ke sisi lain melewati posisi setimbangnya dan oleh karena itu menggambarkan gerak osilasi.<\/p>\n<p> Selanjutnya dalam ilmu fisika, pada bandul sederhana, gesekan massa dengan udara diabaikan, sehingga diasumsikan bandul berosilasi tanpa batas waktu dan semua osilasi mempunyai amplitudo yang sama. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/physigeek.com\/id\/pendulum-sederhana\/\">Pendulum sederhana (fisika)<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-del-pendulo-simple\"><\/span> Ciri-ciri bandul sederhana<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Bandul sederhana ditentukan oleh ciri-ciri atau bagian-bagiannya sebagai 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 sederhana 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 bandul sederhana 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 menyelesaikan suatu 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 bandul sederhana tiap 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 oleh garis vertikal dan tali busur bandul sederhana ketika berada pada posisi ekstrim.<\/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=\"ciri-ciri bandul sederhana, bagian-bagian bandul sederhana, unsur-unsur bandul sederhana\" class=\"wp-image-8900\" style=\"width:430px;height:346px\" 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<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formulas-del-pendulo-simple\"><\/span> Rumus pendulum sederhana<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Persamaan gerak osilasi bandul sederhana<\/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-ee038d945fb195a2a70d1effc316d069_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta=\\Theta\\cdot\\text{sin}(\\omega\\cdot t+\\phi)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"157\" 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-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 oleh tali pendulum sederhana dan tali. <\/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-309d1e9dc1d3a46c23ed1f6d2449b454_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Theta\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah amplitudo pendulum sederhana. <\/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-fbffdce91996e0a17795d82e8e6996d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah pulsasi atau frekuensi sudut pendulum sederhana. <\/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-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah saat di mana sudut dihitung. <\/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-8358131e7f71b02f5a1b767b67603090_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\phi\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> adalah fase awal pendulum sederhana.<\/span><\/li>\n<\/ul>\n<p> Sedangkan <strong>rumus menghitung periode bandul sederhana<\/strong> dengan amplitudo osilasi rendah 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 bandul sederhana. <\/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 bandul sederhana. <\/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=\"Tipos-de-pendulos\"><\/span> Jenis pendulum<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Jenis-jenis pendulum<\/strong> adalah:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>pendulum sederhana.<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Pendulum majemuk.<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Pendulum sikloidal.<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>pendulum ganda.<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>pendulum Foucault.<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Putaran pendulum.<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Pendulum berbentuk bola.<\/strong><\/span><\/li>\n<\/ul>\n<p> Di bawah ini Anda dapat melihat masing-masing jenis pendulum, kecuali pendulum sederhana yang pengoperasiannya telah dijelaskan secara rinci di atas. Demikian pula, perlu diperhatikan bahwa ada jenis pendulum lain, tetapi lebih jarang digunakan.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Pendulo-compuesto\"><\/span> pendulum komposit<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Pendulum majemuk<\/strong> , juga disebut <strong>pendulum fisik<\/strong> , adalah benda tegar yang dapat berosilasi bebas terhadap sumbu horizontal tetap, yang tidak melalui pusat massanya. <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"257\" height=\"269\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/pendule-compose.jpg\" alt=\"pendulum majemuk, pendulum fisik\" class=\"wp-image-9983\"><\/figure>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Pendulo-cicloidal\"><\/span> Pendulum sikloidal<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Pendulum sikloidal<\/strong> didasarkan pada kurva geometri yang disebut sikloid, yaitu kurva yang menggambarkan suatu titik pada lingkaran yang menggelinding pada garis lurus tanpa tergelincir. <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"280\" height=\"180\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/pendule-cycloidal.png\" alt=\"pendulum sikloidal\" class=\"wp-image-9984\"><\/figure>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Pendulo-doble\"><\/span> pendulum ganda<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Pendulum ganda<\/strong> adalah suatu sistem yang terdiri dari dua pendulum, sehingga pendulum kedua digantungkan pada pendulum lain yang ujung atasnya tetap. Secara umum, ini adalah penyatuan dua pendulum sederhana. <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"220\" height=\"204\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/pendule-double.png\" alt=\"pendulum ganda\" class=\"wp-image-9986\"><\/figure>\n<p> Bandul jenis ini mempunyai dua derajat kebebasan, yaitu sudut yang dibentuk masing-masing bandul terhadap vertikal.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Pendulo-de-Foucault\"><\/span> pendulum Foucault<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Pendulum Foucault<\/strong> adalah pendulum yang dapat berayun bebas pada bidang vertikal apa pun. Jenis pendulum ini mendapatkan namanya dari fisikawan Perancis L\u00e9on Foucault, yang menemukannya. <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"180\" height=\"240\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/pendule-a-foucault.gif\" alt=\"pendulum Foucault\" class=\"wp-image-9988\"><\/figure>\n<p> Yang membuat penasaran, pendulum jenis ini bisa digunakan untuk mendemonstrasikan rotasi bumi.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Pendulo-de-torsion\"><\/span> putaran pendulum<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Bandul torsi<\/strong> adalah salah satu jenis bandul yang terdiri dari sebuah kawat atau kawat yang digantung secara vertikal dengan ujung atasnya terpasang dan sebaliknya suatu benda yang digantung pada ujung bawahnya yang memutar kawat tersebut.<\/p>\n<p> Biasanya, benda dengan momen inersia yang diketahui atau mudah dihitung digantung di ujung bawah pendulum torsi, seperti piringan atau silinder. Dengan demikian, piringan atau silinder melakukan gerakan rotasi osilasi, yang sumbunya adalah ulir vertikal. <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"179\" height=\"282\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/pendule-de-torsion.png\" alt=\"putaran pendulum\" class=\"wp-image-9993\"><\/figure>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Pendulo-esferico\"><\/span> pendulum berbentuk bola<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Pendulum bola<\/strong> merupakan pendulum yang dapat berayun dalam ruang. Dengan kata lain, pendulum bola seperti pendulum sederhana, namun bukannya berayun dalam satu bidang, ia dapat berayun dalam ruang. <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"420\" height=\"291\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/pendule-spherique.png\" alt=\"pendulum berbentuk bola\" class=\"wp-image-10002\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/pendule-spherique-300x208.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/pendule-spherique.png 420w\" sizes=\"(max-width: 300px) 100vw, 300px\"><\/figure>\n<p> Misalnya, pendulum Foucault adalah pendulum bola, karena tidak hanya berosilasi pada satu bidang seperti pendulum sederhana, melainkan berosilasi dalam tiga dimensi.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu pendulum dan apa saja ciri-cirinya. Selain itu, Anda akan dapat melihat apa saja jenis-jenis pendulum. Apa itu pendulum? Bandul terdiri dari suatu massa yang digantung pada suatu titik tetap dan dapat berosilasi bebas. Dengan kata lain, pendulum adalah sistem fisik yang terdiri dari suatu massa yang digantung pada suatu titik &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/id\/bandul\/\"> <span class=\"screen-reader-text\">Bandul<\/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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