{"id":704,"date":"2026-10-03T15:11:55","date_gmt":"2026-10-03T14:11:55","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/donme-kinetik-enerjisi-hesaplama\/"},"modified":"2026-10-03T15:11:55","modified_gmt":"2026-10-03T14:11:55","slug":"donme-kinetik-enerjisi-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/fizik\/donme-kinetik-enerjisi-hesaplama\/","title":{"rendered":"D\u00f6nme Kinetik Enerjisi Hesaplama Arac\u0131"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">D\u00f6nen bir Cismin veya Volan\u0131n Kinetik Enerjisini Hesaplay\u0131n<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"704\" data-favorite-title=\"D\u00f6nme Kinetik Enerjisi\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/fizik\/donme-kinetik-enerjisi-hesaplama\/\" data-favorite-excerpt=\"D\u00f6nen bir cismin ya da volan\u0131n atalet momenti ve a\u00e7\u0131sal h\u0131z\u0131ndan, ya da dolgu bir diskin k\u00fctlesi ve yar\u0131\u00e7ap\u0131ndan d\u00f6nme kinetik enerjisini hesaplay\u0131n. \u0130ste\u011fe ba\u011fl\u0131 olarak yuvarlanan cisimler i\u00e7in \u00f6teleme kinetik enerjisini de ekleyin.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-physic\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/fizik\/donme-kinetik-enerjisi-hesaplama\/\" method=\"POST\" class=\"calculator\" id=\"calculator-704\" data-post=\"704\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Giri\u015f modu<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"giri_modu\"><option value=\"disk\" selected>K\u00fctle ve yar\u0131\u00e7ap (kat\u0131 disk \/ volan)<\/option><option value=\"iomega\">Atalet momenti ve a\u00e7\u0131sal h\u0131z<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field is-single has-term\" id=\"input-2\" hidden><label for=\"field-2\">Atalet momenti (I)<\/label><div class=\"term\">I<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"atalet_momenti_i\" id=\"field-2\" aria-describedby=\"calc-info-2\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 2.5\" min=\"0\" value=\"2.5\"\/><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"birim\" aria-label=\"Birim\"><option value=\"kgm2\" selected>kg\u00b7m\u00b2<\/option><option value=\"lbft2\">lb\u00b7ft\u00b2<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-2\">Cismin d\u00f6nmeye kar\u015f\u0131 direnci. Yayg\u0131n \u015fekiller i\u00e7in: kat\u0131 disk \u00bdmr\u00b2, halka mr\u00b2, kat\u0131 k\u00fcre \u2156mr\u00b2, merkez etraf\u0131nda d\u00f6nen \u00e7ubuk \u215f\u2081\u2082ml\u00b2.<\/small><\/div><div class=\"field is-single has-term\" id=\"input-3\" hidden><label for=\"field-4\">A\u00e7\u0131sal h\u0131z (\u03c9)<\/label><div class=\"term\">\u03c9<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"asal_hz_\" id=\"field-4\" aria-describedby=\"calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 3000\" min=\"0\" value=\"3000\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"birim\" aria-label=\"Birim\"><option value=\"rpm\" selected>rpm<\/option><option value=\"rads\">rad\/s<\/option><option value=\"degs\">derece\/s<\/option><option value=\"hz\">tur\/s (Hz)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-4\">Cismin ne kadar h\u0131zl\u0131 d\u00f6nd\u00fc\u011f\u00fc. \u0130\u015faret yok say\u0131l\u0131r \u2014 y\u00f6n enerjiyi de\u011fi\u015ftirmez.<\/small><\/div><div class=\"field is-single has-term\" id=\"input-4\"><label for=\"field-6\">K\u00fctle (m)<\/label><div class=\"term\">m<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"ktle_m\" id=\"field-6\" aria-describedby=\"calc-info-6\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 20\" min=\"0\" value=\"20\"\/><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"birim\" aria-label=\"Birim\"><option value=\"kg\" selected>kg<\/option><option value=\"lb\">lb<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-6\">Diskin veya volan\u0131n toplam k\u00fctlesi.<\/small><\/div><div class=\"field is-single has-term\" id=\"input-5\"><label for=\"field-8\">Yar\u0131\u00e7ap (r)<\/label><div class=\"term\">r<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"yarap_r\" id=\"field-8\" aria-describedby=\"calc-info-8\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 0.5\" min=\"0\" value=\"0.5\"\/><div class=\"grid grid-cols-1\"><select id=\"field-9\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\" selected>m<\/option><option value=\"cm\">cm<\/option><option value=\"ft\">ft<\/option><option value=\"in\">in<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-8\">Diskin d\u0131\u015f yar\u0131\u00e7ap\u0131 (\u00e7ap\u0131n yar\u0131s\u0131).<\/small><\/div><div class=\"is-single field\" id=\"input-6\" hidden><span class=\"font-semibold\">\u0130ste\u011fe ba\u011fl\u0131 \u00f6teleme (do\u011frusal hareket)<\/span><\/div><div class=\"field is-checkbox is-single\" id=\"input-7\"><input type=\"checkbox\" id=\"field-11\" value=\"1\" checked=\"checked\"\/><label for=\"field-11\">\u00d6teleme kinetik enerjisi ekle<\/label><\/div><div class=\"field is-single has-term\" id=\"input-8\"><label for=\"field-12\">Do\u011frusal hareket eden k\u00fctle (m)<\/label><div class=\"term\">m<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"dorusal_hareket_eden_ktle_m\" id=\"field-12\" aria-describedby=\"calc-info-12\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 20\" min=\"0\" value=\"20\"\/><div class=\"grid grid-cols-1\"><select id=\"field-13\" name=\"birim\" aria-label=\"Birim\"><option value=\"kg\" selected>kg<\/option><option value=\"lb\">lb<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-12\">Do\u011frusal olarak hareket eden k\u00fctle \u2014 genellikle d\u00f6nen ayn\u0131 cisimdir.<\/small><\/div><div class=\"field is-single has-term\" id=\"input-9\"><label for=\"field-14\">Do\u011frusal h\u0131z (v)<\/label><div class=\"term\">v<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"dorusal_hz_v\" id=\"field-14\" aria-describedby=\"calc-info-14\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 10\" min=\"0\" value=\"10\"\/><div class=\"grid grid-cols-1\"><select id=\"field-15\" name=\"birim\" aria-label=\"Birim\"><option value=\"ms\" selected>m\/s<\/option><option value=\"kmh\">km\/h<\/option><option value=\"mph\">mph<\/option><option value=\"fts\">ft\/s<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-14\">K\u00fctle merkezinin izledi\u011fi yol boyunca h\u0131z\u0131.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"704\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> D\u00f6nme Kinetik Enerjisi Sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>D\u00f6nme kinetik enerjisi<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Form\u00fcller, atalet momenti ve d\u00f6nme verileri<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"704\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>D\u00f6nme Kinetik Enerjisi Form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\"><\/div>\r\n\t<\/figure>\r\n\t[formula]\\[ E_{rot} = \\tfrac{1}{2} I \\omega^2 \\\\ I = \\tfrac{1}{2} m r^2 \\quad \\text{(dolgu disk)} \\\\[ E_{toplam} = E_{rot} + \\tfrac{1}{2} m v^2 \\\n][\/formula]<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(E_{rot}\\) \u2014 d\u00f6nme kinetik enerjisi (J)<\/li>\n<li>\\(I\\) \u2014 cismin d\u00f6nme eksenine g\u00f6re atalet momenti (kg\u00b7m\u00b2)<\/li>\n<li>\\(\\omega\\) \u2014 a\u00e7\u0131sal h\u0131z (rad\/s)<\/li>\n<li>\\(m\\) \u2014 diskin k\u00fctlesi (kg)<\/li>\n<li>\\(r\\) \u2014 diskin yar\u0131\u00e7ap\u0131 (m)<\/li>\n<li>\\(v\\) \u2014 k\u00fctle merkezinin do\u011frusal h\u0131z\u0131 (m\/s), yaln\u0131zca cisim ayn\u0131 zamanda \u00f6teliyorsa<\/li>\n<\/ul>\n<p>Ba\u011f\u0131nt\u0131, d\u00f6nen bir cisimde depolanan enerjinin atalet momentiyle ve a\u00e7\u0131sal h\u0131z\u0131n <em>karesiyle<\/em> b\u00fcy\u00fcd\u00fc\u011f\u00fcn\u00fc s\u00f6yler: d\u00f6nme h\u0131z\u0131n\u0131 iki kat\u0131na \u00e7\u0131karmak d\u00f6rt kat daha fazla enerji depolar. D\u00fczg\u00fcn do\u011frusal hareket eden, \u00f6rne\u011fin yuvarlanan bir tekerlek gibi bir cisim i\u00e7in d\u00f6nme ve \u00f6teleme k\u0131s\u0131mlar\u0131 basit\u00e7e toplan\u0131r.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>D\u00f6nme Kinetik Enerjisi \u2013 Hesaplama \u00d6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> yar\u0131\u00e7ap\u0131 0,5 m olan 20 kg'l\u0131k dolgu bir vola 3000 dev\/dk h\u0131zla d\u00f6n\u00fcyor; tekerle\u011fin tamam\u0131 ayr\u0131ca 10 m\/s h\u0131zla ileri hareket ediyor.<\/p>\n<p>\\[ I = \\tfrac{1}{2} m r^2 = \\tfrac{1}{2} \\times 20 \\times 0.5^2 = 2.5\\ \\text{kg\u00b7m}^2 \\\\ \\omega = 3000 \\times \\frac{2\\pi}{60} = 314.16\\ \\text{rad\/s} \\\\ E_{rot} = \\tfrac{1}{2} \\times 2.5 \\times 314.16^2 = 123{,}370\\ \\text{J} \\\\ E_{otm} = \\tfrac{1}{2} \\times 20 \\times 10^2 = 1000\\ \\text{J} \\\\ E_{toplam} = 123{,}370 + 1000 = 124{,}370\\ \\text{J} \\<br \/>\n]<\/p>\n\r\n<\/section>\n<p><strong>Sonu\u00e7:<\/strong> vola yakla\u015f\u0131k 123,37 kJ d\u00f6nme enerjisi depolar; ileri hareketi de hesaba katarsak toplam kinetik enerji yakla\u015f\u0131k 124,37 kJ'dir (\u2248 34,5 Wh) \u2014 bu, 60 W'l\u0131k bir ampul\u00fc yakla\u015f\u0131k 34 dakika boyunca yakmaya yeter.<\/p>\n<p>[\/wp_code]<\/p>\n<h2>Hesaplama arac\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Giri\u015f modunu<\/strong> se\u00e7in: \\(I\\) de\u011ferini zaten biliyorsan\u0131z \"Atalet momenti ve a\u00e7\u0131sal h\u0131z\", yoksa \"K\u00fctle ve yar\u0131\u00e7ap (dolgu disk \/ vola)\" se\u00e7ene\u011fini tercih edin; ara\u00e7 sizin i\u00e7in \\(I = \\tfrac{1}{2}mr^2\\) de\u011ferini bulur.<\/li>\n<li>Disk modunu se\u00e7tiyseniz diskin <strong>K\u00fctlesini (m)<\/strong> ve <strong>Yar\u0131\u00e7ap\u0131n\u0131 (r)<\/strong> birimleriyle birlikte girin.<\/li>\n<li><strong>A\u00e7\u0131sal h\u0131z\u0131 (\u03c9)<\/strong> dev\/dk, rad\/s, derece\/sn veya dev\/sn cinsinden girin. \u0130\u015faret yok say\u0131l\u0131r, \u00e7\u00fcnk\u00fc d\u00f6n\u00fc\u015f y\u00f6n\u00fc enerjiyi etkilemez.<\/li>\n<li>Cisim ayn\u0131 zamanda d\u00fcz bir \u00e7izgi boyunca hareket ediyorsa (\u00f6rne\u011fin yuvarlanan bir tekerlek), <strong>\u00d6teleme kinetik enerjisi ekle<\/strong> kutucu\u011funu i\u015faretleyin ve <strong>\u00d6teleyen k\u00fctleyi (m)<\/strong> ile <strong>Do\u011frusal h\u0131z\u0131 (v)<\/strong> doldurun.<\/li>\n<li>Sonu\u00e7lar\u0131 okuyun: joule, kilojoule ve watt-saat cinsinden d\u00f6nme kinetik enerjisi, ayr\u0131ca atalet momentini ve ara ad\u0131mlar\u0131n t\u00fcm\u00fcn\u00fc g\u00f6steren bir d\u00f6k\u00fcm.<\/li>\n<\/ol>\n<h2>D\u00f6nme kinetik enerjisi nedir?<\/h2>\n<p>D\u00f6nme kinetik enerjisi, bir cismin d\u00fcz bir \u00e7izgide hareket etmek yerine d\u00f6nmesi nedeniyle sahip oldu\u011fu enerjidir. T\u0131pk\u0131 hareket eden bir otomobilin \\(\\tfrac{1}{2}mv^2\\) kinetik enerjisi ta\u015f\u0131mas\u0131 gibi, d\u00f6nen bir vola, t\u00fcrbin rotoru, tavan vantilat\u00f6r\u00fc veya yuvarlanan bir tekerlek de \\(\\tfrac{1}{2}I\\omega^2\\) ile tan\u0131mlanan enerji depolar. \u0130ki form\u00fcl birebir benzerdir: atalet momenti \\(I\\) k\u00fctlenin, a\u00e7\u0131sal h\u0131z \\(\\omega\\) ise h\u0131z\u0131n rol\u00fcn\u00fc \u00fcstlenir.<\/p>\n<p>Atalet momenti, cismin k\u00fctlesinin d\u00f6nme ekseni \u00e7evresinde nas\u0131l da\u011f\u0131ld\u0131\u011f\u0131n\u0131 \u00f6l\u00e7er. Eksenden uzakta bulunan k\u00fctle, yak\u0131ndaki k\u00fctleden \u00e7ok daha fazla katk\u0131 sa\u011flar; ayn\u0131 k\u00fctle ve yar\u0131\u00e7apa sahip kenar a\u011f\u0131rl\u0131kl\u0131 bir volan\u0131n, homojen dolgu bir diskin depolad\u0131\u011f\u0131n\u0131n yakla\u015f\u0131k iki kat\u0131 enerji depolamas\u0131n\u0131n nedeni budur. Ayn\u0131 nedenle artistik patenciler daha h\u0131zl\u0131 d\u00f6nmek i\u00e7in kollar\u0131n\u0131 g\u00f6vdelerine \u00e7eker: d\u0131\u015f tork yokken a\u00e7\u0131sal momentum \\(I\\omega\\) sabit kal\u0131r, dolay\u0131s\u0131yla \\(I\\) azald\u0131\u011f\u0131nda \\(\\omega\\) artar \u2014 ve enerji \\(\\omega^2\\) ile b\u00fcy\u00fcd\u00fc\u011f\u00fcnden kollar\u0131n\u0131 \u00e7ekmek i\u00e7in i\u015f yapmak zorundad\u0131rlar.<\/p>\n<p>Enerji d\u00f6nme h\u0131z\u0131n\u0131n <em>karesiyle<\/em> \u00f6l\u00e7eklendi\u011finden, y\u00fcksek h\u0131zl\u0131 volalar k\u00fc\u00e7\u00fck bir hacimde b\u00fcy\u00fck miktarda enerji depolayabilir; \u015febeke enerji depolamada, rejeneratif frenlemede ve kesintisiz g\u00fc\u00e7 kaynaklar\u0131nda kullan\u0131lmalar\u0131n\u0131n nedeni budur. Bir volan\u0131n devir say\u0131s\u0131n\u0131 iki kat\u0131na \u00e7\u0131karmak depolad\u0131\u011f\u0131 enerjiyi d\u00f6rt kat\u0131na \u00e7\u0131kar\u0131r \u2014 ayn\u0131 zamanda malzemedeki gerilmeleri de d\u00f6rt kat\u0131na \u00e7\u0131kar\u0131r; vola h\u0131z\u0131n\u0131n pratik s\u0131n\u0131r\u0131 da budur.<\/p>\n<p>Bir cisim hem d\u00f6n\u00fcyor hem \u00f6teliyorsa toplam kinetik enerji, iki k\u0131sm\u0131n d\u00fcz toplam\u0131d\u0131r. \u00d6rne\u011fin yuvarlanan bir tekerlek, ileri hareketinden \\(\\tfrac{1}{2}mv^2\\) ve d\u00f6n\u00fc\u015f\u00fcnden \\(\\tfrac{1}{2}I\\omega^2\\) enerji ta\u015f\u0131r. Her bir k\u0131sm\u0131 ayr\u0131 ayr\u0131 incelemek i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/kinetik-enerji\/\">Kinetik Enerji<\/a> hesaplama arac\u0131m\u0131z\u0131, enerjinin bi\u00e7imler aras\u0131nda nas\u0131l d\u00f6n\u00fc\u015ft\u00fc\u011f\u00fcn\u00fc g\u00f6rmek i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/enerji-korunumu-hesaplayici\/\">Enerji Korunumu<\/a> hesaplama arac\u0131m\u0131z\u0131 kullanabilirsiniz.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve pratik ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Disk modunda yaln\u0131zca dolgu disk.<\/strong> K\u00fctle ve yar\u0131\u00e7ap modu, \\(I = \\tfrac{1}{2}mr^2\\) olan homojen dolgu bir disk varsayar. Di\u011fer \u015fekiller i\u00e7in \u2014 halka ya da ince kenarl\u0131 vola (\\(I = mr^2\\)), dolgu k\u00fcre (\\(I = \\tfrac{2}{5}mr^2\\)) veya merkezinden d\u00f6nen \u00e7ubuk (\\(I = \\tfrac{1}{12}ml^2\\)) \u2014 \\(I\\) de\u011ferini kendiniz hesaplay\u0131p \"Atalet momenti ve a\u00e7\u0131sal h\u0131z\" modunu kullan\u0131n.<\/li>\n<li><strong>Kat\u0131 cisim, sabit d\u00f6nme h\u0131z\u0131.<\/strong> Form\u00fcl, \u015fekil de\u011fi\u015ftirmeyen ve sabit h\u0131zla d\u00f6nen cisimlere uygulan\u0131r; s\u00fcrt\u00fcnmeyi, hava direncini ve i\u00e7 titre\u015fim kay\u0131plar\u0131n\u0131 yok sayar.<\/li>\n<li>Form\u00fclde \u03c9 rad\/s cinsinden olmal\u0131d\u0131r.<\/li>\n<li><strong>Birimler \u00f6nemlidir.<\/strong> Birim sistemlerini kar\u0131\u015ft\u0131rmak (\u00f6rne\u011fin lb\u00b7ft\u00b2 ile dev\/dk) s\u0131k yap\u0131lan bir hata kayna\u011f\u0131d\u0131r \u2014 ara\u00e7 her \u015feyi dahili olarak SI birimlerine \u00e7evirir, dolay\u0131s\u0131yla sonu\u00e7lar\u0131 her zaman joule cinsindendir.<\/li>\n<li><strong>G\u00fcvenlik notu.<\/strong> H\u0131zl\u0131 ve a\u011f\u0131r bir volada depolanan enerji, vola ar\u0131zalan\u0131rsa neredeyse an\u0131nda a\u00e7\u0131\u011fa \u00e7\u0131kar. 3000 dev\/dk h\u0131zda d\u00f6nen 20 kg'l\u0131k bir vola 123 kJ'den fazla enerji depolar \u2014 50 km\/s h\u0131zla giden k\u00fc\u00e7\u00fck bir otomobile denk \u2014 bu y\u00fczden ger\u00e7ek vola tasar\u0131mlar\u0131nda patlama s\u0131n\u0131rlamas\u0131 mutlaka dikkate al\u0131nmal\u0131d\u0131r.<\/li>\n<\/ul>\n<p>\u0130lgili ara\u00e7lar: bir motorun bu enerjiyi ne kadar h\u0131zl\u0131 sa\u011flamas\u0131 gerekti\u011fini bulmak i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/guc-hesaplama\/\">G\u00fc\u00e7<\/a> hesaplama arac\u0131n\u0131; d\u00f6n\u00fc\u015f yerine bir yayda depolanan enerji i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/esneklik-potansiyel-enerjisi-hesaplayici\/\">Esneklik Potansiyel Enerjisi<\/a> hesaplama arac\u0131n\u0131 veya genel <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/potansiyel-enerji\/\">Potansiyel Enerji<\/a> hesaplama arac\u0131n\u0131 kullan\u0131n.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>D\u00f6nen bir cismin ya da volan\u0131n atalet momenti ve a\u00e7\u0131sal h\u0131z\u0131ndan, ya da dolgu bir diskin k\u00fctlesi ve yar\u0131\u00e7ap\u0131ndan d\u00f6nme kinetik enerjisini hesaplay\u0131n. \u0130ste\u011fe ba\u011fl\u0131 olarak yuvarlanan cisimler i\u00e7in \u00f6teleme kinetik enerjisini de ekleyin.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[10],"tags":[55],"class_list":["post-704","post","type-post","status-publish","format-standard","hentry","category-fizik","tag-mekanik"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/704","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=704"}],"version-history":[{"count":5,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/704\/revisions"}],"predecessor-version":[{"id":3714,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/704\/revisions\/3714"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=704"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=704"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=704"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}