{"id":436,"date":"2023-06-18T04:08:04","date_gmt":"2023-06-18T04:08:04","guid":{"rendered":"https:\/\/physigeek.com\/id\/konstanta-elastis-pegas\/"},"modified":"2023-06-18T04:08:04","modified_gmt":"2023-06-18T04:08:04","slug":"konstanta-elastis-pegas","status":"publish","type":"post","link":"https:\/\/physigeek.com\/id\/konstanta-elastis-pegas\/","title":{"rendered":"Konstanta pegas pada pegas"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu konstanta elastis (atau konstanta elastisitas) pegas dalam fisika. Selain itu, ditunjukkan cara menghitung konstanta elastis pegas baik secara teoritis maupun eksperimental. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-constante-elastica-de-un-muelle\"><\/span> Berapakah konstanta elastis pegas?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Konstanta elastis (atau konstanta elastisitas) pegas<\/strong> adalah konstanta yang menyatakan sifat elastisnya. Konkritnya, konstanta elastis pegas menunjukkan gaya yang harus diterapkan pada pegas agar pegas dapat memanjang satu meter.<\/p>\n<p> Oleh karena itu, semakin tinggi nilai konstanta pegas suatu pegas, semakin besar gaya yang perlu diterapkan untuk mengubah bentuk pegas. Jadi, konstanta elastis pegas digunakan untuk menghubungkan gaya yang bekerja pada pegas dengan perpanjangan yang dialaminya.<\/p>\n<p> Konstanta elastis pegas diukur dalam satuan gaya dibagi satuan panjang. Oleh karena itu, dalam Sistem Internasional (SI), satuan konstanta elastis pegas adalah newton dibagi meter (N\/m).<\/p>\n<p> Singkatnya, konstanta elastis pegas atau pegas adalah konstanta yang mengukur kekakuan pegas, yang nilainya bergantung pada bahan pembuat pegas dan dimensi pegas, serta sifat-sifat lainnya. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-constante-elastica-de-un-muelle\"><\/span> Rumus konstanta elastis pegas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Konstanta elastis pegas sama dengan perubahan gaya yang diberikan (\u0394F) dibagi dengan perpanjangan pegas (\u0394x). Oleh karena itu, <strong>rumus menghitung konstanta elastis pegas<\/strong> adalah k=\u0394F\/\u0394x.<\/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-eb2b603cda139ce98202a525c8adfd83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=\\cfrac{\\Delta F}{\\Delta x}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"64\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Emas: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:8px\"><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-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah konstanta elastis pegas yang satuannya N\/m. <\/span><\/li>\n<li style=\"margin-bottom:8px\"><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-b57e358ec5b73d2248a24ddfb8c5f657_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta F\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"29\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah peningkatan gaya yang diterapkan pada pegas, dinyatakan dalam newton.<\/span><\/li>\n<li><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-e936d3a449e3ecae93ebb5ae1e61feac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta x\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"25\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah perpanjangan yang dialami pegas, dinyatakan dalam meter.<\/span><\/li>\n<\/ul>\n<p> Rumus untuk menentukan konstanta elastis pegas diturunkan dari hukum elastisitas Hooke.<\/p>\n<p> Sebaliknya, jika pegas menggambarkan <a href=\"https:\/\/physigeek.com\/id\">gerak harmonik<\/a> , konstanta elastis juga dapat dihitung dengan mengalikan massa benda dengan kuadrat frekuensi 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-c5f57af0b5b0f6ed31f34b0c0c7730f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=m\\cdot \\omega^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"80\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Emas: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:8px\"><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-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah konstanta elastis pegas. <\/span><\/li>\n<li style=\"margin-bottom:8px\"><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-fdc40b8ad1cdad0aab9d632215459d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah massa benda yang melakukan gerak harmonik.<\/span><\/li>\n<li><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 <a href=\"https:\/\/physigeek.com\/id\/frekuensi-sudut\/\">frekuensi sudut<\/a> gerak harmonik. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-determinar-la-constante-elastica-de-un-muelle-experimentalmente\"><\/span> Cara menentukan konstanta elastis pegas secara eksperimental<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Sekarang kita telah mengetahui definisi konstanta elastis pegas, sekarang kita akan melihat bagaimana konstanta ini ditentukan secara eksperimental. <\/p>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #E1F5FE 100%);  padding-right: 27px; padding-left: 30px; padding-top: 23px; padding-bottom: 0.5px; border: 2px dashed #4FC3F7; border-radius:25px;\">\n<p> Untuk <strong>menentukan konstanta pegas secara eksperimental,<\/strong> Anda harus menangguhkan berbagai massa dari pegas, menghitung bobotnya, dan kemudian memplot data pengamatan pada grafik. Kemiringan garis pada grafik Fx merupakan konstanta elastis pegas.<\/p>\n<\/div>\n<p> Agar Anda dapat melihat bagaimana hal ini dilakukan, di bawah ini adalah contoh penyelesaian langkah demi langkah dari penentuan eksperimental konstanta elastis pegas.<\/p>\n<p> Pertama-tama, Anda harus melakukan tes memanjangkan pegas yang sama beberapa kali dengan menerapkan gaya yang berbeda. Jadi, kita menggantungkan sepuluh benda dengan massa berbeda pada salah satu ujung pegas. Hasil yang diperoleh adalah sebagai berikut: <\/p>\n<figure class=\"wp-block-table aligncenter is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> m (kg)<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> x(m)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,26<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 7.5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,37<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 8<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,41<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2.5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,12<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 4<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,20<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> sepuluh<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,49<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,31<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,05<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 4.5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,23<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6.5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,32<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<p> Kedua, kita menghitung berat benda untuk mengetahui gaya yang bekerja pada pegas. Ingatlah bahwa untuk menghitung berat suatu benda, Anda harus mengalikan massanya dengan percepatan gravitasi (g=9,81 m\/s <sup>2<\/sup> ). <\/p>\n<figure class=\"wp-block-table aligncenter is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> m (kg)<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> F(N)<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> x(m)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 49.05<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,26<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 7.5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 73.58<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,37<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 8<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 78.48<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,41<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2.5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 24:53<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,12<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 4<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 39.24<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,20<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> sepuluh<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 98.10<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,49<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 58.86<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,31<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 9.81<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,05<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 4.5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 44.15<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,23<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6.5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 63,77<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,32<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<p> Kami sekarang membuat grafik data yang diperoleh dari percobaan. Sumbu X adalah perpanjangan pegas dan sumbu Y adalah gaya yang diterapkan pada pegas: <\/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\/graphique-de-la-constante-elastique-dun-ressort.png\" alt=\"grafik konstanta elastis pegas\" class=\"wp-image-8717\" width=\"532\" height=\"408\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/graphique-de-la-constante-elastique-dun-ressort-300x230.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/graphique-de-la-constante-elastique-dun-ressort-768x588.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/graphique-de-la-constante-elastique-dun-ressort.png 949w\" sizes=\"(max-width: 300px) 100vw, 300px\"><\/figure>\n<p> Setelah menghitung garis regresi data sampel dengan menggunakan software excel, diketahui kemiringan garis yang diperoleh adalah 197,14. Oleh karena itu, konstanta elastis pegas yang dipelajari adalah k=197,14 N\/m.<\/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-65f2e12e9d583b8f8053e5bbe6ad6c81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=197,14 \\ \\cfrac{N}{m}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Secara teori, garis regresi grafik harus melewati titik asal. Namun, persamaan garis regresi yang dihasilkan memiliki titik potong y (-0,45) karena kesalahan eksperimen, karena sulit mengukur perpanjangan pegas secara akurat. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicio-resuelto-de-la-constante-elastica-de-un-muelle\"><\/span> Latihan soal konstanta elastis pegas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Sebuah pegas diberi gaya sebesar 50 N, sehingga pegas tersebut memanjang sebesar 12 cm. Berapa panjang pegas jika diberi gaya sebesar 78 N? <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk menghitung perpanjangan pegas, pertama-tama kita harus menentukan nilai konstanta elastisnya. Oleh karena itu, kami menerapkan rumus konstanta elastis pegas:<\/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-73cf6bba82cf36bc8f1daf7a0966f930_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=\\cfrac{\\Delta F}{\\Delta x}=\\cfrac{50}{0.12} =416,67 \\ \\cfrac{N}{m}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"222\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sekarang kita mengetahui nilai konstanta elastis, kita dapat menghitung perpanjangan pegas menggunakan hukum Hooke: <\/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-9b0b9b16d50c4f05be8449a4e88a18a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta F=k\\cdot \\Delta x \\quad \\longrightarrow \\quad \\Delta x=\\cfrac{\\Delta F}{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"253\" style=\"vertical-align: -12px;\"><\/p>\n<\/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-ea6541ea4e927aa99d2fe952699c2a5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" \\begin{aligned}\\Delta x&amp;=\\cfrac{\\Delta F}{k}\\\\[2ex]\\Delta x&amp;=\\cfrac{78}{416.67} \\\\[2ex]\\Delta x&amp;= 0,19 \\ m \\\\[2ex]\\Delta x&amp;= 19 \\ cm\\end{align\u00e9}\" title=\"Rendered by QuickLaTeX.com\" height=\"181\" width=\"104\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu konstanta elastis (atau konstanta elastisitas) pegas dalam fisika. Selain itu, ditunjukkan cara menghitung konstanta elastis pegas baik secara teoritis maupun eksperimental. Berapakah konstanta elastis pegas? Konstanta elastis (atau konstanta elastisitas) pegas adalah konstanta yang menyatakan sifat elastisnya. Konkritnya, konstanta elastis pegas menunjukkan gaya yang harus diterapkan pada pegas agar pegas &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/id\/konstanta-elastis-pegas\/\"> <span class=\"screen-reader-text\">Konstanta pegas pada pegas<\/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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