{"id":1031,"date":"2024-07-08T13:33:50","date_gmt":"2024-07-08T08:03:50","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=1031"},"modified":"2025-07-16T15:01:44","modified_gmt":"2025-07-16T09:31:44","slug":"compound-gear-train","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/me\/theory-of-machines\/compound-gear-train","title":{"rendered":"Compound Gear Train"},"content":{"rendered":"<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-988 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/compound-gear-train.jpg\" alt=\"Compound Gear Train\" width=\"375\" height=\"128\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/compound-gear-train.jpg 375w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/compound-gear-train-300x102.jpg 300w\" sizes=\"auto, (max-width: 375px) 100vw, 375px\" \/><\/p>\n<p style=\"text-align: justify;\">When a series of gears are connected in such a way that two or more gears rotate about an axis with the same angular velocity, it is known as compound gear train.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-997 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/train-value-1.jpg\" alt=\"Train Value\" width=\"421\" height=\"86\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/train-value-1.jpg 421w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/train-value-1-300x61.jpg 300w\" sizes=\"auto, (max-width: 421px) 100vw, 421px\" \/><\/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\/compound-gear-train\/#Reverted-Gear-Train\" >Reverted Gear Train<\/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\/compound-gear-train\/#Epicyclic-Gear-Train\" >Epicyclic Gear Train<\/a><\/li><\/ul><\/nav><\/div>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Reverted-Gear-Train\"><\/span><strong>Reverted Gear Train<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">If the axes of the <strong>first<\/strong> and <strong>last wheel<\/strong> of a gear <strong>coincide<\/strong> it is called reverted gear train. Such arrangement is used in clocks and in simple lathe, where \u2018back gear\u2019 is used to give slow speed to the chuck.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1004 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/pitch-circle.jpg\" alt=\"Pitch Circle Radius\" width=\"427\" height=\"145\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/pitch-circle.jpg 427w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/pitch-circle-300x102.jpg 300w\" sizes=\"auto, (max-width: 427px) 100vw, 427px\" \/><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-1006 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/coincide.jpg\" alt=\"Coincide\" width=\"248\" height=\"180\" \/><\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Epicyclic-Gear-Train\"><\/span>Epicyclic Gear Train<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\"text-align: justify;\">\n<li>When there exists a relative motion of axes in a gear train, it is called an <strong>epicyclic gear train<\/strong>. Thus in an epicyclic train, the axis of <strong>at least one of the gears<\/strong> also moves relative to the frame.<\/li>\n<li>If arm \u2018<strong><em>a<\/em><\/strong>\u2019 is fixed. Turn \u2018<strong><em>s<\/em><\/strong>\u2019 through <em>x <\/em>revolutions in the clockwise direction. Assuming clockwise motion of a wheel as positive and counter clockwise motion as negative. Revolution made by \u2018<strong><em>a<\/em><\/strong>\u2019 = 0; Revolution made by \u2018<strong><em>s<\/em><\/strong>\u2019 = <em>x<\/em><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1009 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/planet-gear.jpg\" alt=\"Planet Gear\" width=\"323\" height=\"177\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/planet-gear.jpg 323w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/planet-gear-300x164.jpg 300w\" sizes=\"auto, (max-width: 323px) 100vw, 323px\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1012 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/epicyclic-gear-train.jpg\" alt=\"Epicyclic Gear Train \" width=\"118\" height=\"185\" \/><\/p>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/me\/theory-of-machines\/static-balancing\/\" target=\"_blank\" rel=\"noopener\">&lt;&lt; Previous<\/a> | <a class=\"btn btn-success\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/me\/theory-of-machines\/type-of-governors\/\" target=\"_blank\" rel=\"noopener\"> Next &gt;&gt;<\/a><br \/>\n<strong> Must Read: <\/strong> <a href=\"https:\/\/study.madeeasy.in\/subjects\/what-is-the-theory-of-machines\/\" target=\"_blank\" rel=\"noopener\"><strong>What is the Theory of Machines?<\/strong><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When a series of gears are connected in such a way that two or more gears rotate about an axis<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[287,10],"tags":[333,334],"class_list":["post-1031","post","type-post","status-publish","format-standard","hentry","category-theory-of-machines","category-me","tag-epicyclic-gear-train","tag-reverted-gear-train"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/1031","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=1031"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/1031\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=1031"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=1031"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=1031"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}