{"id":435,"date":"2023-06-18T04:55:14","date_gmt":"2023-06-18T04:55:14","guid":{"rendered":"https:\/\/physigeek.com\/id\/gulir-vektor\/"},"modified":"2023-06-18T04:55:14","modified_gmt":"2023-06-18T04:55:14","slug":"gulir-vektor","status":"publish","type":"post","link":"https:\/\/physigeek.com\/id\/gulir-vektor\/","title":{"rendered":"Gulir vektor"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu vektor perpindahan dalam fisika. Dengan demikian, Anda akan menemukan cara menghitung vektor perpindahan dan, sebagai tambahan, latihan yang diselesaikan untuk mengasimilasi konsep dengan benar. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-vector-desplazamiento\"><\/span> Berapakah vektor perpindahannya?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Vektor perpindahan<\/strong> didefinisikan sebagai vektor yang berpindah dari posisi awal ke posisi akhir, artinya vektor perpindahan adalah vektor yang menyatakan variasi posisi suatu benda. Vektor perpindahan dihitung dengan mengurangkan vektor posisi akhir dikurangi vektor posisi awal.<\/p>\n<p> Titik penerapan vektor perpindahan adalah titik yang menentukan posisi awal benda, sedangkan ujung vektor perpindahan adalah titik yang menunjukkan posisi akhir benda. Jadi, dalam fisika, vektor perpindahan adalah vektor yang menandai selisih antara posisi awal dan posisi akhir suatu benda.<\/p>\n<p> Simbol vektor perpindahan adalah<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bd163374155626fffded43e0d746c686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\vv{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> . <\/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\/vecteur-de-position-et-de-deplacement.png\" alt=\"perpindahan vektor\" class=\"wp-image-7663\" width=\"371\" height=\"300\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vecteur-de-position-et-de-deplacement-300x243.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vecteur-de-position-et-de-deplacement.png 650w\" sizes=\"(max-width: 300px) 100vw, 300px\"><\/figure>\n<p> Perhatikan bahwa perpindahan berbeda dengan lintasan. Lintasan adalah keseluruhan lintasan yang ditempuh benda bergerak, sedangkan vektor perpindahan hanya menunjukkan variasi antara posisi awal dan posisi akhir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-vector-desplazamiento\"><\/span> Rumus vektor perpindahan<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Vektor perpindahan sama dengan selisih antara vektor posisi akhir (r <sub>f<\/sub> ) dan vektor posisi awal (r <sub>i<\/sub> ). Oleh karena itu, vektor perpindahan dihitung dengan mengurangkan vektor posisi akhir dikurangi vektor posisi awal (\u0394r = r <sub>f<\/sub> -r <sub>i<\/sub> ).<\/p>\n<p> Oleh karena itu <strong>rumus untuk menghitung vektor perpindahan<\/strong> 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-6a2add39f8b17932976b2dac8782b1e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta\\vv{r}=\\vv{r_f}-\\vv{r_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> Perlu diingat bahwa jika kita bekerja dalam sistem dua koordinat, setiap vektor posisi mempunyai dua komponen. Jadi, untuk menghitung pengurangan dua vektor, kita harus mengurangkan koordinatnya:<\/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-9de158fd25fcb5e34f8c8a8b2ea945ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\Delta\\vv{r}&amp;=\\vv{r_f}-\\vv{r_i}\\\\[3ex]\\Delta\\vv{r}&amp;=\\left(x_f\\vv{i }+y_f\\vv{j}\\right)-\\left(x_i\\vv{i}+y_i\\vv{j}\\right)\\\\[3ex]\\Delta\\vv{r}&amp;=(x_f-x_i) \\vv{i}+(y_f-y_i)\\vv{j}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"118\" width=\"234\" 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: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-bd163374155626fffded43e0d746c686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\vv{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah vektor perpindahan. <\/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-e1b02810b572e656acf95dc5bb7f0c9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r_f}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"16\" style=\"vertical-align: -6px;\"><\/p>\n<p> adalah vektor posisi pada 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-7eae0c03c02ab63fa29f02150a8bedf4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> adalah vektor posisi pada saat 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-0d89a653d05691dbd9879857c51d283e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_f, y_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"44\" style=\"vertical-align: -6px;\"><\/p>\n<p> masing-masing adalah koordinat X, Y dari posisi 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-ca29b189039d3158599e42d540a4ff86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i, y_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"38\" style=\"vertical-align: -4px;\"><\/p>\n<p> masing-masing adalah koordinat X, Y dari posisi 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-38c9c3651baee200e255572b4c746a19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{i},\\vv{j}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"22\" style=\"vertical-align: -4px;\"><\/p>\n<p> adalah vektor satuan yang mewakili arah sumbu OX dan OY.<\/span><\/li>\n<\/ul>\n<p> <strong>Catatan:<\/strong> jika kita bekerja di ruang angkasa, vektor-vektornya akan memiliki tiga koordinat. Dalam hal ini, koordinat Z dari vektor harus ditambahkan ke rumus dan bekerja dengan tiga koordinat.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Modulo-del-vector-desplazamiento\"><\/span> Modulus vektor perpindahan<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Besarnya vektor perpindahan<\/strong> adalah jarak antara posisi akhir dan posisi awal. Oleh karena itu, untuk menentukan jarak antara dua titik, perlu dihitung modulus perpindahan antara kedua titik tersebut.<\/p>\n<p> Norma vektor perpindahan sama dengan akar kuadrat dari jumlah kuadrat komponen-komponennya. Jadi <strong>rumus menghitung modulus vektor perpindahan<\/strong> 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-93d32dbcb616220d740d06d08ccf47ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\Delta \\vv{r}|=\\sqrt{(x_f-x_i)^2+(y_f-y_i)^2\\vphantom{\\bigl)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"247\" style=\"vertical-align: -11px;\"><\/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-e90c82c4757170808470067b919325da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\Delta \\vv{r}|\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"29\" style=\"vertical-align: -5px;\"><\/p>\n<p> adalah norma vektor perpindahan. <\/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-0d89a653d05691dbd9879857c51d283e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_f, y_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"44\" style=\"vertical-align: -6px;\"><\/p>\n<p> masing-masing adalah koordinat X, Y dari posisi 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-ca29b189039d3158599e42d540a4ff86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i, y_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"38\" style=\"vertical-align: -4px;\"><\/p>\n<p> masing-masing adalah koordinat X, Y dari posisi awal.<\/span><\/li>\n<\/ul>\n<p> Perlu diingat bahwa jarak antara dua titik, yaitu besar vektor perpindahan antara titik-titik tersebut, tidak sama dengan jarak yang ditempuh, karena jarak yang ditempuh mungkin lebih besar dari jarak sebenarnya antara kedua titik tersebut. <\/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\/jarak-dan-offset\/\">Apa perbedaan antara perpindahan dan jarak yang ditempuh?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-calculo-del-vector-desplazamiento\"><\/span> Contoh penghitungan vektor perpindahan<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita melihat pengertian vektor perpindahan dan rumusnya, pada bagian ini kita akan melihat cara menghitung vektor perpindahan dengan contoh penyelesaian langkah demi langkah.<\/p>\n<ul>\n<li> Sebuah partikel berada pada posisinya\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-281bd088d419c8ace9624f2ac70173ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r_i}=3\\vv{i}-2\\vv{j}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\"><\/p>\n<p> pada saat awal dan setelah selang waktu tertentu berada pada posisi [lateks]\\vv{r_f}=5\\vv{i}+1\\vv{j}[\/lateks]. Berapakah vektor perpindahan dan jarak antara kedua posisi tersebut?<\/li>\n<\/ul>\n<p> Untuk menentukan vektor perpindahan antara posisi akhir dan posisi awal, cukup kurangi kedua vektor posisi tersebut:<\/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-3444222027ce5b4d04745c6beaa286f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\Delta\\vv{r}&amp;=\\vv{r_f}-\\vv{r_i}\\\\[3ex]\\Delta\\vv{r}&amp;=\\left(5\\vv{i }+1\\vv{j}\\right)-\\left(3\\vv{i}-2\\vv{j}\\right)\\\\[3ex]\\Delta\\vv{r}&amp;=\\bigl(5- 3\\bigr)\\vv{i}+\\bigl(1-(-2)\\bigr)\\vv{j}\\\\[3ex]\\Delta\\vv{r}&amp;=2\\vv{i}+3\\ vv{j}\\end{align\u00e9}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Kemudian, untuk mencari jarak antara dua titik tersebut, kita harus mengambil norma vektor perpindahan yang dihitung: <\/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-e1bf43dbb25c4179e4c8a79fddb56285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}|\\Delta \\vv{r}|&amp;=\\sqrt{2^2+3^2}}\\\\[3ex]|\\Delta \\vv{r}|&amp;=\\sqrt{ 4+9}\\\\[3ex]|\\Delta \\vv{r}|&amp;=\\sqrt{13}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"128\" width=\"127\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Vector-desplazamiento-y-vector-de-posicion\"><\/span> Vektor perpindahan dan vektor posisi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Terakhir, kita akan melihat apa perbedaan antara vektor perpindahan dan vektor posisi, demikian pula kita akan melihat apa hubungan antara kedua jenis vektor tersebut.<\/p>\n<p> <strong>Vektor posisi<\/strong> , disebut juga <strong>vektor posisi<\/strong> , adalah vektor yang menggambarkan posisi suatu titik relatif terhadap sistem referensi. Jadi, dalam fisika, vektor posisi digunakan untuk menunjukkan posisi suatu titik dalam suatu sistem koordinat.<\/p>\n<p> Akibatnya, <strong>vektor perpindahan dan vektor posisi saling terhubung<\/strong> , karena vektor posisi menentukan posisi suatu titik dan, sebaliknya, vektor perpindahan menunjukkan variasi vektor posisi antara dua titik. <\/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\/vektor-posisi\/\">Berapakah vektor posisinya?<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu vektor perpindahan dalam fisika. Dengan demikian, Anda akan menemukan cara menghitung vektor perpindahan dan, sebagai tambahan, latihan yang diselesaikan untuk mengasimilasi konsep dengan benar. Berapakah vektor perpindahannya? Vektor perpindahan didefinisikan sebagai vektor yang berpindah dari posisi awal ke posisi akhir, artinya vektor perpindahan adalah vektor yang menyatakan variasi posisi suatu &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/id\/gulir-vektor\/\"> <span class=\"screen-reader-text\">Gulir vektor<\/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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