{"id":392,"date":"2023-06-19T18:46:32","date_gmt":"2023-06-19T18:46:32","guid":{"rendered":"https:\/\/physigeek.com\/id\/percepatan-sudut\/"},"modified":"2023-06-19T18:46:32","modified_gmt":"2023-06-19T18:46:32","slug":"percepatan-sudut","status":"publish","type":"post","link":"https:\/\/physigeek.com\/id\/percepatan-sudut\/","title":{"rendered":"Akselerasi sudut"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu percepatan sudut dalam fisika. Dengan demikian, Anda akan menemukan cara menghitung percepatan sudut, latihan yang diselesaikan, dan apa hubungan antara percepatan sudut dan percepatan tangensial. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-aceleracion-angular\"><\/span> Apa itu percepatan sudut?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Percepatan sudut<\/strong> adalah ukuran yang menentukan percepatan rotasi suatu benda. Oleh karena itu, percepatan sudut menunjukkan perubahan kecepatan sudut suatu benda. Dengan kata lain, percepatan sudut menyatakan laju perubahan kecepatan sudut.<\/p>\n<p> Satuan percepatan sudut dalam Sistem Internasional (SI) adalah radian per detik kuadrat (rad\/s <sup>2<\/sup> ). Demikian pula, percepatan sudut juga dinyatakan dalam satuan s <sup>-2<\/sup> , karena radian sebenarnya tidak berdimensi.<\/p>\n<p> Percepatan sudut biasanya dilambangkan dengan simbol huruf Yunani \u03b1 (alpha). <\/p>\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\/acceleration-angulaire.png\" alt=\"percepatan sudut\" class=\"wp-image-7362\" width=\"357\" height=\"249\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/acceleration-angulaire-300x210.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/acceleration-angulaire.png 493w\" sizes=\"(max-width: 300px) 100vw, 300px\"><\/figure>\n<p> Percepatan sudut dinyatakan dengan vektor aksial yang sejajar dengan sumbu rotasi. Norma suatu vektor adalah nilai percepatan sudut dan arah vektor ditentukan dengan kaidah tangan kanan. Pada bidang, jika benda berputar searah jarum jam maka vektor percepatan sudut akan masuk ke dalam bidang, sebaliknya jika benda berputar berlawanan arah jarum jam maka vektor percepatan sudut akan keluar bidang. <\/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\/kecepatan-sudut\/\">Cara mencari kecepatan sudut<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-aceleracion-angular\"><\/span> Rumus percepatan sudut<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Percepatan sudut rata-rata sama dengan pertambahan kecepatan sudut (\u0394\u03c9) dibagi pertambahan waktu (\u0394t). Jadi, untuk menghitung percepatan sudut, selisih kecepatan sudut akhir dan awal harus dibagi dengan selisih momen akhir dan momen awal (\u03b1 = \u0394\u03c9\/\u0394t).<\/p>\n<p> Oleh karena itu, <strong>rumus menghitung percepatan rata-rata<\/strong> adalah: <\/p>\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\/formule-dacceleration-angulaire.png\" alt=\"rumus percepatan sudut\" class=\"wp-image-7365\" width=\"232\" height=\"231\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-dacceleration-angulaire-300x300.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-dacceleration-angulaire-150x150.png 150w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-dacceleration-angulaire.png 414w\" sizes=\"(max-width: 300px) 100vw, 300px\"><\/figure>\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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah percepatan sudut. <\/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-94f4e26a511e85d1ab00d3f1686bf7e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\omega\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah perubahan kecepatan sudut. <\/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-819ab50990df5adf82bea9dfa75ffff2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta t\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah variasi temporal. <\/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-562a49afd4fa3e0e36dd810290074f64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"19\" style=\"vertical-align: -6px;\"><\/p>\n<p> adalah kecepatan sudut akhir. <\/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-90b8586302c2fbf8bfa7a04162507ebd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> adalah kecepatan sudut awal. <\/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-82d36af17e232807e56da9ccdbbda0d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_f\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"14\" style=\"vertical-align: -6px;\"><\/p>\n<p> adalah momen terakhir. <\/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-bf289b768173104db12fe7044c723db4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"11\" style=\"vertical-align: -3px;\"><\/p>\n<p> adalah momen awal.<\/span><\/li>\n<\/ul>\n<p> Ingatlah bahwa rumus ini hanya terpenuhi jika benda bergerak menggambarkan gerak melingkar yang dipercepat secara seragam, yaitu jika percepatan sudutnya konstan di sepanjang lintasan. Jika tidak, gunakan rumus berikut untuk mencari <strong>percepatan sudut sesaat<\/strong> :<\/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-9ca4f14fe6b21fc84c313375224fb893_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\alpha=\\lim_{\\Delta t\\to0}\\frac{\\Delta\\omega}{\\Delta t}=\\frac{d\\omega}{dt}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"152\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> Setelah menghitung nilai percepatan sudut, hasilnya harus diinterpretasikan sesuai dengan tanda percepatan sudut:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u03b1&gt;0<\/strong> : jika percepatan sudut positif berarti nilai kecepatan sudut bertambah seiring waktu. Oleh karena itu, ini adalah gerakan melingkar yang dipercepat secara seragam.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u03b1&lt;0<\/strong> : jika percepatan sudut bernilai negatif, berarti nilai kecepatan sudut semakin berkurang seiring berjalannya waktu. Oleh karena itu, ini merupakan gerakan melingkar yang tertunda secara seragam.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u03b1=0<\/strong> : jika percepatan sudut sama dengan nol, berarti nilai kecepatan sudutnya konstan. Oleh karena itu, ini adalah gerakan melingkar yang seragam.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-calculo-de-la-aceleracion-angular\"><\/span> Contoh penghitungan percepatan sudut<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah melihat pengertian percepatan sudut dan rumusnya, pada bagian ini kita akan melihat contoh konkrit cara menghitung percepatan sudut.<\/p>\n<ul>\n<li> Sebuah benda yang bergerak melingkar berputar dengan kecepatan sudut 80 rpm. Jika setelah 6 sekon benda tersebut berhenti berputar sempurna, berapakah percepatan sudut rata-rata benda selama periode tersebut?<\/li>\n<\/ul>\n<p> Pertama, kita akan mengonversi kecepatan sudut menjadi radian per detik agar dapat digunakan dengan satuan Syst\u00e8me International. Satu putaran sama dengan 2\u03c0 radian, jadi:<\/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-84da1ead9b143fa4e97b6539717d9788_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"80 \\ \\cfrac{tours}{min} \\cdot \\cfrac{2\\pi \\ rad}{1 \\ tour}\\cdot \\cfrac{1 \\ min}{60 \\ s}=8,38 \\ \\cfrac {rad }{s}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"291\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Sekarang kita terapkan rumus percepatan sudut:<\/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-fedefe7f3708477dc61b93a792509ab6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha=\\cfrac{\\Delta\\omega}{\\Delta t}=\\cfrac{\\omega_f-\\omega_i}{t_f-t_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"148\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p> Saat benda akhirnya berhenti, kecepatan sudut akhir akan menjadi nol. Selanjutnya kita tidak mengetahui nilai detik akhir dan detik awal, namun kita mengetahui bahwa selisih keduanya adalah 6 s. Maka percepatan sudutnya 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-fde4a41d03c719f8f5fd9b007a0f2387_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha=\\cfrac{0-8.38}{6}=-1.40 \\ \\cfrac{rad}{s^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"204\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Perhatikan bahwa dalam kasus ini percepatan sudutnya negatif, artinya benda berputar dengan kecepatan sudut yang semakin lambat hingga berhenti total. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-angular-y-aceleracion-tangencial\"><\/span> Percepatan sudut dan percepatan tangensial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Percepatan sudut dan percepatan tangensial berhubungan secara matematis, sehingga percepatan tangensial dapat dihitung dari percepatan sudut (atau sebaliknya).<\/p>\n<p> Percepatan tangensial (atau percepatan linier) dihitung dengan mengalikan percepatan sudut dengan jari-jari jalur gerak melingkar. Oleh karena itu, percepatan sudut dan percepatan tangensial berhubungan dengan jari-jari lintasan gerak melingkar.<\/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-dcadf85fe24bbd678ca72ce3e1f0e582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t=\\alpha\\cdot r\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"71\" style=\"vertical-align: -3px;\"><\/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-ab56b4b3337ead2a6dab40b537d0ba6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> adalah percepatan tangensial. <\/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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah percepatan sudut. <\/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-01bcf7e9e043561da78fecf715c8a46e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah jari-jari lintasan gerak melingkar. <\/span><\/li>\n<\/ul>\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\/percepatan-tangensial-atau-percepatan-linier\/\">Apa yang dimaksud dengan percepatan tangensial?<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu percepatan sudut dalam fisika. Dengan demikian, Anda akan menemukan cara menghitung percepatan sudut, latihan yang diselesaikan, dan apa hubungan antara percepatan sudut dan percepatan tangensial. Apa itu percepatan sudut? Percepatan sudut adalah ukuran yang menentukan percepatan rotasi suatu benda. Oleh karena itu, percepatan sudut menunjukkan perubahan kecepatan sudut suatu benda. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/id\/percepatan-sudut\/\"> <span class=\"screen-reader-text\">Akselerasi sudut<\/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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