{"id":3921,"date":"2026-10-14T07:49:41","date_gmt":"2026-10-14T06:49:41","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/fizik\/balistik-sarkac-hesaplayici\/"},"modified":"2026-10-14T07:49:41","modified_gmt":"2026-10-14T06:49:41","slug":"balistik-sarkac-hesaplayici","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/fizik\/balistik-sarkac-hesaplayici\/","title":{"rendered":"Balistik Sarka\u00e7 Hesaplay\u0131c\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\">Balistik sarka\u00e7 deneyinden merminin h\u0131z\u0131n\u0131 bulun<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3921\" data-favorite-title=\"Balistik Sarka\u00e7\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/fizik\/balistik-sarkac-hesaplayici\/\" data-favorite-excerpt=\"Balistik sarka\u00e7 deneyinden merminin h\u0131z\u0131n\u0131 hesaplay\u0131n. Mermi ve sarka\u00e7 k\u00fctlelerini girin; ayr\u0131ca sal\u0131n\u0131m y\u00fcksekli\u011fini ya da sal\u0131n\u0131m a\u00e7\u0131s\u0131 ve sarka\u00e7 uzunlu\u011funu belirtin.\" 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\/balistik-sarkac-hesaplayici\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3921\" data-post=\"3921\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Merminin k\u00fctlesi (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=\"merminin_ktlesi_m\" id=\"field-1\" aria-describedby=\"calc-info-1\" 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-2\" name=\"birim\" aria-label=\"Birim\"><option value=\"g\" selected>g<\/option><option value=\"kg\">kg<\/option><option value=\"lb\">lb<\/option><option value=\"oz\">oz<\/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-1\">Sarka\u00e7 blo\u011funa g\u00f6m\u00fclen merminin (\u00f6rne\u011fin bir kur\u015fun ya da bilye) k\u00fctlesi.<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Sarkac\u0131n k\u00fctlesi (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=\"sarkacn_ktlesi_m\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 250\" min=\"0\" value=\"250\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"birim\" aria-label=\"Birim\"><option value=\"g\" selected>g<\/option><option value=\"kg\">kg<\/option><option value=\"lb\">lb<\/option><option value=\"oz\">oz<\/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-3\">Sarka\u00e7 blo\u011funun k\u00fctlesi (mermi hari\u00e7). Do\u011fru sonu\u00e7lar i\u00e7in merminin k\u00fctlesinden \u00e7ok daha b\u00fcy\u00fck olmal\u0131d\u0131r.<\/small><\/div><div class=\"field\" id=\"input-3\"><label for=\"field-5\">Maksimum sal\u0131n\u0131m nas\u0131l \u00f6l\u00e7\u00fcld\u00fc?<\/label><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"maksimum_salnm_nasl_lld\"><option value=\"height\">Sal\u0131n\u0131m y\u00fcksekli\u011finden (h)<\/option><option value=\"angle\" selected>Sal\u0131n\u0131m a\u00e7\u0131s\u0131 ve uzunluktan (\u03b8, L)<\/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 has-term\" id=\"input-4\" hidden><label for=\"field-6\">Maksimum sal\u0131n\u0131m y\u00fcksekli\u011fi (h)<\/label><div class=\"term\">h<\/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=\"maksimum_salnm_ykseklii_h\" id=\"field-6\" aria-describedby=\"calc-info-6\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 6.7\" min=\"0\" value=\"6.7\"\/><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\">m<\/option><option value=\"cm\" selected>cm<\/option><option value=\"mm\">mm<\/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-6\">Sarka\u00e7 blo\u011funun k\u00fctle merkezinin en d\u00fc\u015f\u00fck noktadan sal\u0131n\u0131m\u0131n en y\u00fcksek noktas\u0131na kadar y\u00fckseldi\u011fi dikey mesafe.<\/small><\/div><div class=\"field has-term\" id=\"input-5\" hidden><label for=\"field-8\">Maksimum sal\u0131n\u0131m a\u00e7\u0131s\u0131 (\u03b8)<\/label><div class=\"term\">\u03b8<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"maksimum_salnm_as_\" id=\"field-8\" aria-describedby=\"calc-unit-8 calc-info-8\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 30\" min=\"0\" max=\"180\" value=\"30\"\/><div class=\"unit\" id=\"calc-unit-8\">derece<\/div><small id=\"calc-info-8\">Sal\u0131n\u0131m\u0131n tepesinde sarkac\u0131n dikeyle yapt\u0131\u011f\u0131 a\u00e7\u0131. 0\u00b0&#039;den b\u00fcy\u00fck ve 180\u00b0&#039;den k\u00fc\u00e7\u00fck olmal\u0131d\u0131r.<\/small><\/div><div class=\"field has-term\" id=\"input-6\" hidden><label for=\"field-9\">Sarka\u00e7 uzunlu\u011fu (L)<\/label><div class=\"term\">L<\/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=\"sarka_uzunluu_l\" id=\"field-9\" aria-describedby=\"calc-info-9\" 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-10\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\" selected>m<\/option><option value=\"cm\">cm<\/option><option value=\"mm\">mm<\/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-9\">Ask\u0131 noktas\u0131ndan, i\u00e7ine mermi g\u00f6m\u00fclm\u00fc\u015f blo\u011fun k\u00fctle merkezine kadar olan mesafe.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3921\">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> Balistik sarka\u00e7 sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>\u00c7arpma \u00f6ncesi merminin h\u0131z\u0131<\/span><span class=\"result-term\">v<\/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>\u00c7arpma sonras\u0131 birle\u015fik h\u0131z ve ayr\u0131nt\u0131lar<\/span><span class=\"result-term\">u<\/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=\"3921\" 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>Balistik Sarka\u00e7 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\">\n\\[ v = \\frac{m + M}{m} \\sqrt{2 g h}, \\qquad h = L (1 - \\cos\\theta) \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(v\\) \u2014 \u00e7arpma an\u0131ndan hemen \u00f6nceki mermi h\u0131z\u0131 (m\/s)<\/li>\n<li>\\(m\\) \u2014 mermi k\u00fctlesi (kg)<\/li>\n<li>\\(M\\) \u2014 sarka\u00e7 blo\u011funun k\u00fctlesi (kg)<\/li>\n<li>\\(u = \\sqrt{2gh}\\) \u2014 \u00e7arpman\u0131n hemen ard\u0131ndan mermi + blok birle\u015fik cisminin h\u0131z\u0131 (m\/s)<\/li>\n<li>\\(g\\) \u2014 yer\u00e7ekimi ivmesi, 9.80665 m\/s\\(^2\\)<\/li>\n<li>\\(h\\) \u2014 sal\u0131n\u0131m s\u0131ras\u0131nda blo\u011fun y\u00fckseldi\u011fi dikey y\u00fckseklik (m)<\/li>\n<li>\\(L\\) \u2014 ask\u0131 noktas\u0131ndan k\u00fctle merkezine kadar sarka\u00e7 uzunlu\u011fu (m)<\/li>\n<li>\\(\\theta\\) \u2014 dikeyden \u00f6l\u00e7\u00fclen maksimum sapma a\u00e7\u0131s\u0131 (derece)<\/li>\n<\/ul>\n<p>Form\u00fcl iki fizik yasas\u0131n\u0131 birle\u015ftirir: tamamen esnek olmayan \u00e7arp\u0131\u015fma s\u0131ras\u0131nda momentum korunur, \\(mv = (m + M)u\\); yukar\u0131 do\u011fru ger\u00e7ekle\u015fen sal\u0131n\u0131m s\u0131ras\u0131nda ise mekanik enerji korunur, \\(\\tfrac{1}{2}(m + M)u^2 = (m + M)gh\\). Bu iki e\u015fitli\u011fi birlikte \u00e7\u00f6zmek, merminin \u00e7arpma \u00f6ncesi h\u0131z\u0131n\u0131 verir.<\/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>Balistik Sarka\u00e7 \u2013 \u00d6rnek Hesaplama<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> 10 g'l\u0131k bir mermi, 250 g'l\u0131k bir sarka\u00e7 blo\u011funa g\u00f6m\u00fcl\u00fcyor. Blok, 0,5 m uzunlu\u011fundaki sarka\u00e7ta maksimum 30\\(\\degree\\) a\u00e7\u0131yla yukar\u0131 sal\u0131n\u0131yor. Merminin h\u0131z\u0131 neydi?<\/p>\n<p>\u00d6nce sal\u0131n\u0131m\u0131n dikey y\u00fckseli\u015fini bulun:<\/p>\n<p>\\[ h = L (1 - \\cos\\theta) = 0.5 \\times (1 - \\cos 30\\degree) = 0.06699 \\text{ m} \\]<\/p>\n<p>Ard\u0131ndan \u00e7arpman\u0131n hemen ard\u0131ndan birle\u015fik k\u00fctlenin h\u0131z\u0131n\u0131 hesaplay\u0131n:<\/p>\n<p>\\[ u = \\sqrt{2 g h} = \\sqrt{2 \\times 9.80665 \\times 0.06699} = 1.146 \\text{ m\/s} \\]<\/p>\n<p>Son olarak momentumun korunumunu uygulay\u0131n:<\/p>\n<p>\\[ v = \\frac{m + M}{m} \\, u = \\frac{0.01 + 0.25}{0.01} \\times 1.146 = 29.80 \\text{ m\/s} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> mermi \u00e7arpmadan hemen \u00f6nce yakla\u015f\u0131k <strong>29,80 m\/s<\/strong> h\u0131zla (107,3 km\/h, 97,8 ft\/s) hareket ediyordu. Birle\u015fik k\u00fctle \u00e7arpmadan sonra yaln\u0131zca 1,146 m\/s h\u0131zla hareket etti; ba\u015flang\u0131\u00e7 kinetik enerjisinin %96,2'si (yakla\u015f\u0131k 4,27 J) \u00e7arp\u0131\u015fmada \u0131s\u0131ya ve deformasyona d\u00f6n\u00fc\u015ft\u00fc.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 Nas\u0131l Kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Mermi k\u00fctlesini (m)<\/strong> girin ve birimini se\u00e7in (g, kg, lb veya oz). Bu, blo\u011fa g\u00f6m\u00fclen mermi, bilye veya sa\u00e7man\u0131n k\u00fctlesidir.<\/li>\n<li><strong>Sarka\u00e7 k\u00fctlesini (M)<\/strong> birimiyle birlikte girin \u2014 mermini hari\u00e7, yaln\u0131zca blo\u011fun k\u00fctlesi.<\/li>\n<li><strong>Maksimum sal\u0131n\u0131m nas\u0131l \u00f6l\u00e7\u00fcld\u00fc?<\/strong> b\u00f6l\u00fcm\u00fcnde, dikey y\u00fckseli\u015fi do\u011frudan \u00f6l\u00e7t\u00fcn\u00fcz m\u00fc (<em>Sal\u0131n\u0131m y\u00fcksekli\u011fi ile (h)<\/em>) yoksa a\u00e7\u0131 ve sarka\u00e7 uzunlu\u011funu mu kaydettiniz (<em>Sal\u0131n\u0131m a\u00e7\u0131s\u0131 ve uzunlu\u011fu ile (\\(\\theta\\), L)<\/em>) se\u00e7in.<\/li>\n<li>Se\u00e7iminize g\u00f6re ya <strong>Maksimum sal\u0131n\u0131m y\u00fcksekli\u011fini (h)<\/strong> girin ya da derece cinsinden <strong>Maksimum sal\u0131n\u0131m a\u00e7\u0131s\u0131n\u0131 (\\(\\theta\\))<\/strong> ve ask\u0131 noktas\u0131ndan y\u00fckl\u00fc blo\u011fun k\u00fctle merkezine kadar <strong>Sarka\u00e7 uzunlu\u011funu (L)<\/strong> girin.<\/li>\n<li>Sonu\u00e7lar\u0131 okuyun: merminin \u00e7arpma \u00f6ncesi h\u0131z\u0131 \u00e7e\u015fitli birimlerle, \u00e7arpma sonras\u0131 birle\u015fik h\u0131z, sal\u0131n\u0131m y\u00fcksekli\u011fi ve \u00e7arp\u0131\u015fmada kaybedilen enerjinin d\u00f6k\u00fcm\u00fc.<\/li>\n<\/ol>\n<h2>Balistik Sarka\u00e7 Nedir?<\/h2>\n<p>Balistik sarka\u00e7, do\u011frudan zamanlamas\u0131 zor olan h\u0131zl\u0131 bir merminin h\u0131z\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in kullan\u0131lan klasik bir fizik d\u00fczenektir. Mermi, uzun ipler veya \u00e7ubuklarla as\u0131lm\u0131\u015f a\u011f\u0131r bir blo\u011fa yatay bi\u00e7imde ate\u015flenir. Mermi blo\u011fa g\u00f6m\u00fcl\u00fcr, blok yukar\u0131 sal\u0131n\u0131r ve \u00f6l\u00e7\u00fclen maksimum y\u00fckseli\u015f \u2014 bir skala \u00fczerinden ya da sapma a\u00e7\u0131s\u0131 olarak \u2014 merminin ne kadar h\u0131zl\u0131 hareket etti\u011fini g\u00f6sterir.<\/p>\n<p>Analiz iki a\u015famada yap\u0131l\u0131r, \u00e7\u00fcnk\u00fc iki farkl\u0131 korunum yasas\u0131 ge\u00e7erlidir. \u00c7ok k\u0131sa s\u00fcren \u00e7arpma an\u0131nda kinetik enerji korunmaz \u2014 enerjinin b\u00fcy\u00fck b\u00f6l\u00fcm\u00fc blo\u011fun ve merminin deformasyonuna harcan\u0131r \u2014 ancak <em>momentum<\/em> korunur. Bu, \u00e7arpman\u0131n hemen ard\u0131ndan birle\u015fik k\u00fctlenin \\(u\\) h\u0131z\u0131n\u0131 verir. \u0130zleyen yava\u015f yukar\u0131 sal\u0131n\u0131m s\u00fcresince s\u00fcrt\u00fcnme ve hava direnci ihmal edilebilir d\u00fczeydedir; bu y\u00fczden <em>mekanik enerji<\/em> korunur: kinetik enerji, yer\u00e7ekimi potansiyel enerjisine d\u00f6n\u00fc\u015f\u00fcr ve sal\u0131n\u0131m y\u00fcksekli\u011fi i\u015fte bu enerjiyi \u00f6l\u00e7er.<\/p>\n<p>&lt;li de\u011fil... <\/p>\n<p>Dikkat ederseniz mermi h\u0131z\u0131, \u00e7arpma sonras\u0131 h\u0131zdan her zaman \\((m + M)\/m\\) k\u00fctle oran\u0131 kadar b\u00fcy\u00fckt\u00fcr. Hafif mermi ve a\u011f\u0131r blokta bu oran b\u00fcy\u00fck olur \u2014 yukar\u0131daki \u00f6rnekte 26'd\u0131r \u2014 yani blo\u011fun m\u00fctevaz\u0131 bir sal\u0131n\u0131m\u0131 \u00e7ok h\u0131zl\u0131 bir merminin i\u015faretidir. Hesaplay\u0131c\u0131n\u0131n b\u00fcy\u00fck bir enerji kayb\u0131 raporlamas\u0131n\u0131n nedeni de budur: \u00e7arp\u0131\u015fmada kinetik enerji kaybetmek bir hata de\u011fildir; tam tersine, zamanlama ekipman\u0131 olmadan sarka\u00e7la \u00f6l\u00e7\u00fcm yap\u0131labilmesini sa\u011flayan \u015feyin ta kendisidir.<\/p>\n<p>Tarihsel olarak balistik sarka\u00e7lar, 18. y\u00fczy\u0131ldan itibaren ate\u015fli silahlar\u0131n namlu \u00e7\u0131k\u0131\u015f h\u0131z\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in kullan\u0131ld\u0131 ve ayn\u0131 ilke g\u00fcn\u00fcm\u00fczde de lisans laboratuvarlar\u0131nda yer almaktad\u0131r. Momuntum ve enerji korunumunun her birinin kendi alan\u0131nda ge\u00e7erli oldu\u011funu ve ikisinin kar\u0131\u015ft\u0131r\u0131lmas\u0131n\u0131n yanl\u0131\u015f sonu\u00e7lara yol a\u00e7t\u0131\u011f\u0131n\u0131 g\u00f6steren a\u00e7\u0131k bir demonstrations... <\/p>\n<p>Tarihsel olarak balistik sarka\u00e7lar, 18. y\u00fczy\u0131ldan itibaren ate\u015fli silahlar\u0131n namlu \u00e7\u0131k\u0131\u015f h\u0131z\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in kullan\u0131ld\u0131 ve ayn\u0131 ilke g\u00fcn\u00fcm\u00fczde de lisans laboratuvarlar\u0131nda kar\u015f\u0131m\u0131za \u00e7\u0131kmaktad\u0131r. Bu d\u00fczenek, momentum ve enerji korunumlar\u0131n\u0131n her birinin kendi alan\u0131nda ge\u00e7erli oldu\u011funu ve ikisinin kar\u0131\u015ft\u0131r\u0131lmas\u0131n\u0131n yanl\u0131\u015f sonu\u00e7lar do\u011furdu\u011funu g\u00f6steren net bir kan\u0131t olmay\u0131 s\u00fcrd\u00fcrmektedir.<\/p>\n<h2>Varsay\u0131mlar, S\u0131n\u0131rlamalar ve Pratik \u0130pu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Tamamen esnek olmayan \u00e7arp\u0131\u015fma.<\/strong> Mermi blo\u011fa g\u00f6m\u00fclmeli ve orada kalmal\u0131d\u0131r. Seker ya da delip ge\u00e7erse momentum aktar\u0131m\u0131 farkl\u0131 olur ve sonu\u00e7 yanl\u0131\u015f \u00e7\u0131kar.<\/li>\n<li><strong>Anl\u0131k \u00e7arpma.<\/strong> \u00c7arp\u0131\u015fma s\u0131ras\u0131nda yer\u00e7ekimi ve ip kuvvetlerinin ihmal edildi\u011fi vars\u0131l\u0131r; \u00e7arpma yaln\u0131zca birka\u00e7 milisaniye s\u00fcrd\u00fc\u011f\u00fc i\u00e7in bu kabul ge\u00e7erlidir.<\/li>\n<li><strong>S\u00fcrt\u00fcnmesiz sal\u0131n\u0131m.<\/strong> Ask\u0131 noktas\u0131 ve hava direnci yok say\u0131l\u0131r; bu nedenle \u00f6l\u00e7\u00fclen sal\u0131n\u0131m y\u00fcksekli\u011fi, ger\u00e7ek \u00e7arpma sonras\u0131 h\u0131z\u0131 hafif\u00e7e <em>k\u00fc\u00e7\u00fck<\/em> g\u00f6sterir. Ger\u00e7ek sarka\u00e7lar sal\u0131n\u0131mlar\u0131n\u0131n birka\u00e7 y\u00fczdesini s\u00fcrt\u00fcnmeye yitirir.<\/li>\n<li><strong>K\u00fctle merkezine sarka\u00e7 uzunlu\u011fu.<\/strong> A\u00e7\u0131 y\u00f6ntemi kullan\u0131l\u0131rken \\(L\\), ask\u0131 noktas\u0131ndan <em>mermini g\u00f6m\u00fcl\u00fc<\/em> blo\u011fun k\u00fctle merkezine kadar \u00f6l\u00e7\u00fclmelidir; ip uzunlu\u011fu de\u011fil.<\/li>\n<li><strong>180\\(\\degree\\) yak\u0131n\u0131ndaki a\u00e7\u0131lar.<\/strong> \\(h = L(1 - \\cos\\theta)\\) y\u00fckseklik form\u00fcl\u00fc 180\\(\\degree\\) yak\u0131n\u0131nda \u00e7ok duyarl\u0131 hale gelir; k\u00fc\u00e7\u00fck a\u00e7\u0131 \u00f6l\u00e7\u00fcm hatalar\u0131 o zaman b\u00fcy\u00fck h\u0131z hatalar\u0131na yol a\u00e7ar. K\u00fc\u00e7\u00fck sal\u0131n\u0131mlar da sorunludur, \u00e7\u00fcnk\u00fc y\u00fcksekli\u011fi hassas \u00f6l\u00e7mek zorla\u015f\u0131r \u2014 yakla\u015f\u0131k 10\\(\\degree\\) ile 60\\(\\degree\\) aras\u0131ndaki a\u00e7\u0131lar en iyi hassasiyeti verir.<\/li>\n<li><strong>Mermiden \u00e7ok daha a\u011f\u0131r blok.<\/strong> B\u00fcy\u00fck k\u00fctle oran\u0131, k\u00fctlelerin \u00f6l\u00e7\u00fcm belirsizli\u011fini b\u00fcy\u00fct\u00fcr; \\(m\\) de\u011ferini en az bir ondal\u0131k basamak hassasiyetle girin.<\/li>\n<\/ul>\n<p>Mermi hareketini daha derinlemesine inceliyorsan\u0131z, hesaplanan h\u0131z\u0131 <a href=\"https:\/\/wpcalc.com\/en\/physics\/speed-of-sound-in-air-calculator\/\">havada ses h\u0131z\u0131<\/a> ile kar\u015f\u0131la\u015ft\u0131rarak merminin ses\u00fcst\u00fc olup olmad\u0131\u011f\u0131n\u0131 g\u00f6rebilir, <a href=\"https:\/\/wpcalc.com\/en\/physics\/froude-number-calculator\/\">Froude say\u0131s\u0131<\/a> \u00fczerinden at\u0131\u015f a\u00e7\u0131s\u0131 ile sarka\u00e7 geometrisinin nas\u0131l etkile\u015fti\u011fini kestirebilir ya da u\u00e7u\u015ftaki h\u0131z kayb\u0131n\u0131 <a href=\"https:\/\/wpcalc.com\/en\/physics\/drag-force-calculator\/\">s\u00fcr\u00fckleme kuvveti<\/a> ile hesaba katabilirsiniz.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Balistik sarka\u00e7 deneyinden merminin h\u0131z\u0131n\u0131 hesaplay\u0131n. Mermi ve sarka\u00e7 k\u00fctlelerini girin; ayr\u0131ca sal\u0131n\u0131m y\u00fcksekli\u011fini ya da sal\u0131n\u0131m a\u00e7\u0131s\u0131 ve sarka\u00e7 uzunlu\u011funu belirtin.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[10],"tags":[55],"class_list":["post-3921","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\/3921","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=3921"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3921\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3921"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3921"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3921"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}