{"id":5825,"date":"2025-07-30T11:19:41","date_gmt":"2025-07-30T05:49:41","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=5825"},"modified":"2025-07-30T11:19:41","modified_gmt":"2025-07-30T05:49:41","slug":"flywheel","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/me\/theory-of-machines\/flywheel","title":{"rendered":"Flywheel"},"content":{"rendered":"<p style=\"text-align: justify;\">A flywheel wheel is used in machines to serve as a four reservoir, which stores energy during the period when supply of energy is more than the requirement, and release it during the period when the requirement of energy is more than the supply. Flywheel does not maintain a constant speed, it simply reduces fluctuation of speed. It does not control the speed variations caused by the varying load.<\/p>\n<h2 style=\"text-align: justify;\">Turning Moment Diagram for a Four Stroke Engine<\/h2>\n<p style=\"text-align: justify;\">A turning moment diagram for a four stroke cycle internal combustion engine is shown in figure. We know that in a four stroke internal engine, there is one working stroke after the crank has turned through two revolutions, i.e., 720\u00b0 (or 4\u03c0 radians).<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-5826 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/07\/flywheel.jpg\" alt=\"Flywheel\" width=\"316\" height=\"318\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/07\/flywheel.jpg 316w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/07\/flywheel-298x300.jpg 298w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/07\/flywheel-150x150.jpg 150w\" sizes=\"auto, (max-width: 316px) 100vw, 316px\" \/><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_1 ez-toc-wrap-left counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.madeeasy.in\/study\/me\/theory-of-machines\/flywheel\/#Work-Done-Per-Cycle\" >Work Done Per Cycle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.madeeasy.in\/study\/me\/theory-of-machines\/flywheel\/#Fluctuation-of-Speed\" >Fluctuation of Speed<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.madeeasy.in\/study\/me\/theory-of-machines\/flywheel\/#Maximum-Fluctuation-of-Energy\" >Maximum Fluctuation of Energy<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.madeeasy.in\/study\/me\/theory-of-machines\/flywheel\/#Dimensions-of-the-Flywheel-RIM\" >Dimensions of the Flywheel RIM<\/a><\/li><\/ul><\/nav><\/div>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Work-Done-Per-Cycle\"><\/span>Work Done Per Cycle<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: center;\">Word done per cycle = Tmean \u00d7 \u03b8<\/p>\n<p style=\"text-align: center;\">Tmean = Mean torque,<\/p>\n<p style=\"text-align: center;\">\u03b8 = angle turned is one cycle<\/p>\n<p style=\"text-align: center;\">=2\u03c0, in case of two stroke engine<\/p>\n<p style=\"text-align: center;\">=4\u03c0, in case of 4 stroke engine<\/p>\n<p style=\"text-align: center;\">Tmax \u2013 Tmean = I.\u03b1max.<\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Fluctuation-of-Speed\"><\/span>Fluctuation of Speed<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li style=\"text-align: justify;\">The difference between the maximum and minimum speeds during a cycle is called maximum fluctuation of speed.<\/li>\n<li style=\"text-align: justify;\">The ratio of maximum fluctuation of speed to the mean speed is called coefficient of fluctuation of speed (Cs).<\/li>\n<\/ul>\n<p style=\"text-align: center;\">Cs = Nmax-Nmin\/Nmean = (Nmax-Nmin)\/Nmax+Nmin\/2<\/p>\n<ul>\n<li>Coefficient of Steadiness: The reciprocal of the coefficient of fluctuation of speed.<br \/>\nm= 1\/Cs = Nmean\/(Nmax-Nmin)<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Maximum-Fluctuation-of-Energy\"><\/span>Maximum Fluctuation of Energy<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">The turning moment diagram for multi-cylinder engine is shown in Figure. The horizontal line AG represents the mean line. Let a1, a3, a5 be area above mean torque line and a2, a4 and a6 be area below mean torque line.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-5827 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/07\/crank-angle.jpg\" alt=\" Crank angle\" width=\"462\" height=\"322\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/07\/crank-angle.jpg 462w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/07\/crank-angle-300x209.jpg 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/07\/crank-angle-392x272.jpg 392w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/07\/crank-angle-130x90.jpg 130w\" sizes=\"auto, (max-width: 462px) 100vw, 462px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Dimensions-of-the-Flywheel-RIM\"><\/span>Dimensions of the Flywheel RIM<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Let D =Mean diameter of rim in meters,<br \/>\nR =Mean radius of rim in meters,<br \/>\nA =Cross-sectional area of rim in m2,<br \/>\n\u03c1 =Density of rim material in kg\/m3<br \/>\nN=Speed of the flywheel in r.p.m.,<br \/>\n\u03c9=Angular velocity of the flywheel in rad\/s,<br \/>\n\u03bd =Linear velocity at the mean radius in m\/s = \u03c9R<br \/>\n\u03c3 =Tensile stress or hoop stress in N\/m2 due to the centrifugal force.<br \/>\n\u2234 Total vertical upward force tending to burst the rim across the diameter XY<\/p>\n<p>=2\u03c1AR2\u03c92<\/p>\n<p>This vertical upward force will produce tensile stress of hoop stress and it is resisted by 2P,<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5828 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/07\/flywheel-rim.jpg\" alt=\" Flywheel RIM\" width=\"487\" height=\"204\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/07\/flywheel-rim.jpg 487w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/07\/flywheel-rim-300x126.jpg 300w\" sizes=\"auto, (max-width: 487px) 100vw, 487px\" \/><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A flywheel wheel is used in machines to serve as a four reservoir, which stores energy during the period when<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[287,10],"tags":[1696,1695,1697],"class_list":["post-5825","post","type-post","status-publish","format-standard","hentry","category-theory-of-machines","category-me","tag-fluctuation-of-speed","tag-flywheel-rim","tag-work-done-per-cycle"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/5825","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=5825"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/5825\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=5825"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=5825"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=5825"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}