{"id":387,"date":"2023-06-19T23:48:50","date_gmt":"2023-06-19T23:48:50","guid":{"rendered":"https:\/\/physigeek.com\/tr\/acisal-yer-degistirme\/"},"modified":"2023-06-19T23:48:50","modified_gmt":"2023-06-19T23:48:50","slug":"acisal-yer-degistirme","status":"publish","type":"post","link":"https:\/\/physigeek.com\/tr\/acisal-yer-degistirme\/","title":{"rendered":"A\u00e7\u0131sal yer de\u011fi\u015ftirme"},"content":{"rendered":"<p>Bu makale fizikte a\u00e7\u0131sal yer de\u011fi\u015ftirmenin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Bu nedenle a\u00e7\u0131sal yer de\u011fi\u015ftirmenin nas\u0131l hesaplanaca\u011f\u0131n\u0131, \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 ve ayr\u0131ca a\u00e7\u0131sal yer de\u011fi\u015ftirme ile di\u011fer dairesel hareket kavramlar\u0131 aras\u0131ndaki ili\u015fkiyi ke\u015ffedeceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-desplazamiento-angular\"><\/span> A\u00e7\u0131sal yer de\u011fi\u015ftirme nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>A\u00e7\u0131sal yer de\u011fi\u015ftirme,<\/strong> d\u00f6nme hareketi yapan bir cismin yer de\u011fi\u015ftirme a\u00e7\u0131s\u0131d\u0131r. Dolay\u0131s\u0131yla a\u00e7\u0131sal yer de\u011fi\u015ftirme, son a\u00e7\u0131sal konum ile ba\u015flang\u0131\u00e7 a\u00e7\u0131sal konum aras\u0131ndaki farka e\u015fittir.<\/p>\n<p> A\u00e7\u0131sal yer de\u011fi\u015ftirmenin sembol\u00fc \u0394\u03b8&#8217;d\u0131r. \u0394 sembol\u00fc, bir miktar\u0131n art\u0131\u015f\u0131n\u0131 belirten Yunanca delta harfidir ve \u03b8 sembol\u00fc, a\u00e7\u0131sal konum i\u00e7in kullan\u0131lan Yunanca theta harfidir. Dolay\u0131s\u0131yla a\u00e7\u0131sal yer de\u011fi\u015ftirme sembol\u00fc \u0394\u03b8, a\u00e7\u0131sal konumdaki art\u0131\u015f\u0131 ifade eder. <\/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\/deplacement-angulaire.png\" alt=\"a\u00e7\u0131sal yer de\u011fi\u015ftirme\" class=\"wp-image-7205\" width=\"202\" height=\"196\"><\/figure>\n<p> Tipik olarak a\u00e7\u0131sal yer de\u011fi\u015ftirmenin ifade edildi\u011fi birim radyand\u0131r ancak derece veya devir gibi di\u011fer a\u00e7\u0131sal \u00f6l\u00e7\u00fcm birimleri de kullan\u0131labilir. 2\u03c0 radyan\u0131n 360\u00b0&#8217;ye e\u015fit oldu\u011funu unutmay\u0131n. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-desplazamiento-angular\"><\/span> A\u00e7\u0131sal yer de\u011fi\u015ftirme form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u00e7\u0131sal yer de\u011fi\u015ftirme, son a\u00e7\u0131sal konum ile ba\u015flang\u0131\u00e7 a\u00e7\u0131sal konum aras\u0131ndaki farka e\u015fittir. Bu nedenle, bir cismin a\u00e7\u0131sal yer de\u011fi\u015ftirmesini hesaplamak i\u00e7in, son a\u00e7\u0131sal konumu, ba\u015flang\u0131\u00e7 a\u00e7\u0131sal konumundan \u00e7\u0131kar\u0131lmal\u0131d\u0131r.<\/p>\n<p> <strong>A\u00e7\u0131sal yer de\u011fi\u015ftirmeyi hesaplama form\u00fcl\u00fc<\/strong> bu nedenle a\u015fa\u011f\u0131daki gibidir: <\/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-de-deplacement-angulaire.png\" alt=\"a\u00e7\u0131sal yer de\u011fi\u015ftirme form\u00fcl\u00fc\" class=\"wp-image-7182\" width=\"275\" height=\"173\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-de-deplacement-angulaire-300x189.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-de-deplacement-angulaire.png 504w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p style=\"margin-bottom:5px\"> Alt\u0131n: <\/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-35fafd512270f2cce95b082eeeb9b89e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\theta\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"24\" style=\"vertical-align: 0px;\"><\/p>\n<p> a\u00e7\u0131sal yer de\u011fi\u015ftirmedir. <\/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-dec4862cb2c06f87af7118de56debeb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta_f\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"16\" style=\"vertical-align: -6px;\"><\/p>\n<p> son a\u00e7\u0131sal konumdur. <\/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-4ab63afa2b487b4402027ad7d97fbb5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> ba\u015flang\u0131\u00e7 a\u00e7\u0131sal konumudur. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Desplazamiento-angular-y-velocidad-angular\"><\/span> A\u00e7\u0131sal yer de\u011fi\u015ftirme ve a\u00e7\u0131sal h\u0131z<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u00e7\u0131sal yer de\u011fi\u015ftirme, bir cismin son a\u00e7\u0131sal konumu ile ba\u015flang\u0131\u00e7 a\u00e7\u0131sal konumu aras\u0131ndaki a\u00e7\u0131sal mesafedir. A\u00e7\u0131sal h\u0131z ise v\u00fccudun a\u00e7\u0131sal yer de\u011fi\u015ftirme boyunca hareket etti\u011fi h\u0131zd\u0131r.<\/p>\n<p> Yani <strong>a\u00e7\u0131sal h\u0131z, a\u00e7\u0131sal yer de\u011fi\u015ftirmenin zaman art\u0131\u015f\u0131na b\u00f6l\u00fcnmesine e\u015fittir<\/strong> . Bu nedenle a\u00e7\u0131sal h\u0131z, son a\u00e7\u0131sal konum ile ilk a\u00e7\u0131sal konum aras\u0131ndaki fark\u0131n, son an ile ilk an aras\u0131ndaki farka b\u00f6l\u00fcnmesine e\u015fittir.<\/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-e223345ffe5afccec758487d4c37d8f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega=\\cfrac{\\Delta\\theta}{\\Delta t}=\\cfrac{\\theta_f-\\theta_0}{t_f-t_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"141\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p> Bu form\u00fcl\u00fcn anl\u0131k a\u00e7\u0131sal h\u0131z\u0131 de\u011fil ortalama a\u00e7\u0131sal h\u0131z\u0131 hesaplad\u0131\u011f\u0131n\u0131 unutmay\u0131n. Yani a\u00e7\u0131sal h\u0131z\u0131n ortalama de\u011feri hesaplan\u0131r, ancak yolculuk s\u0131ras\u0131nda cismin anl\u0131k a\u00e7\u0131sal h\u0131z\u0131 daha y\u00fcksek veya daha d\u00fc\u015f\u00fck olabilir. <\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/physigeek.com\/tr\">A\u00e7\u0131sal h\u0131z ile do\u011frusal h\u0131z aras\u0131ndaki fark<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-resuelto-del-desplazamiento-angular\"><\/span> A\u00e7\u0131sal yer de\u011fi\u015ftirmenin somut \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Art\u0131k a\u00e7\u0131sal yer de\u011fi\u015ftirmenin ne oldu\u011funu ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu bildi\u011fimize g\u00f6re, somut bir \u00f6rnekle nas\u0131l hesapland\u0131\u011f\u0131na bakal\u0131m.<\/p>\n<ul>\n<li> D\u00fczg\u00fcn dairesel hareket yapan bir cisim t <sub>0<\/sub> =1 s zaman\u0131nda \u03b8 <sub>0<\/sub> =35\u00b0 a\u00e7\u0131sal konumunda ve t <sub>f<\/sub> =5 s zaman\u0131nda \u03b8 <sub>f<\/sub> =80\u00b0 a\u00e7\u0131sal konumundad\u0131r. Hesaplamak:\n<ol>\n<li> V\u00fccudun a\u00e7\u0131sal yer de\u011fi\u015ftirmesi.<\/li>\n<li> V\u00fccudun a\u00e7\u0131sal h\u0131z\u0131.<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<p> Hesaplamalar\u0131 Uluslararas\u0131 Sistem birimlerinde yapabilmek i\u00e7in \u00f6ncelikle a\u00e7\u0131sal konumlar\u0131n de\u011ferlerini radyana \u00e7evirece\u011fiz:<\/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-904e2797d47e32bdf84271b22a58bd34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"35^o\\cdot \\cfrac{2\\pi \\ \\rad}{360^o}=0,61 \\ rad\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"165\" 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-2540156cfe4e8eb7793950a6fedfd4c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"80^o \\cdot\\cfrac{2\\pi \\ \\rad}{360^o}=1,40\\ rad\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Bu nedenle, cismin a\u00e7\u0131sal yer de\u011fi\u015ftirmesini bulmak i\u00e7in son a\u00e7\u0131sal konumdan ba\u015flang\u0131\u00e7 a\u00e7\u0131sal konumdan \u00e7\u0131karmal\u0131y\u0131z: <\/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-5708cbf12e9094f4dd5f8681fce0a6e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\Delta\\theta&amp;=\\theta_f-\\theta_o\\\\[2ex]\\Delta\\theta&amp;=1,40-0,61 \\\\[2ex]\\Delta\\theta&amp;=0,79 \\ rad \\end{aligned}[ \/latex] Enfin, on calcule la vitesse angulaire en divisant le d\u00e9placement angulaire par l'incr\u00e9ment de temps : [latex]\\begin{aligned}\\omega &amp;=\\cfrac{\\Delta\\theta}{\\Delta t}\\\\[2ex] \\omega &amp;=\\cfrac{0.79}{5-1}\\\\[2ex ]\\ om\u00e9ga &amp;= 0,20 \\ \\cfrac{rad}{s}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"273\" width=\"644\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Desplazamiento-angular-y-desplazamiento-lineal\"><\/span> A\u00e7\u0131sal yer de\u011fi\u015ftirme ve do\u011frusal yer de\u011fi\u015ftirme<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dairesel bir hareketle mobil d\u00f6ner ve belirli bir mesafeye do\u011fru yol al\u0131r. Yani <strong>do\u011frusal yer de\u011fi\u015ftirme,<\/strong> bir cismin dairesel hareketle kat etti\u011fi mesafedir.<\/p>\n<p> <strong>A\u00e7\u0131sal yer de\u011fi\u015ftirme ile do\u011frusal yer de\u011fi\u015ftirme aras\u0131ndaki fark,<\/strong> yer de\u011fi\u015ftirmenin cismin kat etti\u011fi a\u00e7\u0131, do\u011frusal yer de\u011fi\u015ftirmenin ise cismin kat etti\u011fi mesafe olmas\u0131d\u0131r.<\/p>\n<p> A\u00e7\u0131sal yer de\u011fi\u015ftirme ve do\u011frusal yer de\u011fi\u015ftirme birimlere g\u00f6re kolayl\u0131kla ay\u0131rt edilebilir. A\u00e7\u0131sal yer de\u011fi\u015ftirmenin a\u00e7\u0131sal birimleri (radyan, derece, devir vb.) bulunurken, do\u011frusal yer de\u011fi\u015ftirmenin mesafe birimleri (metre, kilometre, milimetre vb.) vard\u0131r.<\/p>\n<p> D\u00fczg\u00fcn dairesel harekette (UCM), bir cismin a\u00e7\u0131sal yer de\u011fi\u015ftirmesi, onun do\u011frusal yer de\u011fi\u015ftirmesinin d\u00fczg\u00fcn dairesel hareket yar\u0131\u00e7ap\u0131na b\u00f6l\u00fcnmesine e\u015fittir.<\/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-4169700760f4780dd5fb988803809bd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta\\theta =\\cfrac{\\Delta s}{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"73\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n: <\/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-35fafd512270f2cce95b082eeeb9b89e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\theta\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"24\" style=\"vertical-align: 0px;\"><\/p>\n<p> a\u00e7\u0131sal ofsettir. <\/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-3db0030e4bedf27f75c7b9ba39f740f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta s\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> do\u011frusal kaymad\u0131r. <\/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> d\u00fczg\u00fcn dairesel hareketin y\u00f6r\u00fcngesinin yar\u0131\u00e7ap\u0131d\u0131r. <\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/physigeek.com\/tr\/dogrusal-yer-degistirme\/\">Do\u011frusal yer de\u011fi\u015ftirme<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale fizikte a\u00e7\u0131sal yer de\u011fi\u015ftirmenin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Bu nedenle a\u00e7\u0131sal yer de\u011fi\u015ftirmenin nas\u0131l hesaplanaca\u011f\u0131n\u0131, \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 ve ayr\u0131ca a\u00e7\u0131sal yer de\u011fi\u015ftirme ile di\u011fer dairesel hareket kavramlar\u0131 aras\u0131ndaki ili\u015fkiyi ke\u015ffedeceksiniz. A\u00e7\u0131sal yer de\u011fi\u015ftirme nedir? A\u00e7\u0131sal yer de\u011fi\u015ftirme, d\u00f6nme hareketi yapan bir cismin yer de\u011fi\u015ftirme a\u00e7\u0131s\u0131d\u0131r. Dolay\u0131s\u0131yla a\u00e7\u0131sal yer de\u011fi\u015ftirme, son a\u00e7\u0131sal konum ile &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/tr\/acisal-yer-degistirme\/\"> <span class=\"screen-reader-text\">A\u00e7\u0131sal yer de\u011fi\u015ftirme<\/span> Devam\u0131 &raquo;<\/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":[],"class_list":["post-387","post","type-post","status-publish","format-standard","hentry","category-sinematik"],"yoast_head":"<!-- This site is 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