{"id":1981,"date":"2024-07-30T22:13:33","date_gmt":"2024-07-30T22:13:33","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=1981"},"modified":"2024-07-30T22:13:34","modified_gmt":"2024-07-30T22:13:34","slug":"worm-and-worm-wheel","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/07\/30\/worm-and-worm-wheel\/","title":{"rendered":"\u00a0WORM AND WORM WHEEL"},"content":{"rendered":"\n

shows a worm and worm wheel arrangement. It consists of a threaded screw B called worm and a toothed wheel C called worm wheel. The worm B is in mesh with worm wheel C and their axes are perpendicular to each other.<\/p>\n\n\n\n

\"Figure<\/figure>\n\n\n\n

Figure 13.10<\/strong> Worm and Worm Wheel<\/p>\n\n\n\n

On the axis of worm B, an effort wheel A of larger diameter is attached, over which a string passes. The effort P<\/em> is applied at the end of this string. On the axis of worm wheel C, a small pulley or load drum is provided over which a string passes. One end of the string is attached to the load drum and other end is connected to the load W<\/em>.<\/p>\n\n\n\n

Let    W<\/em> = Load lifted by the load drum L<\/p>\n\n\n\n

         P<\/em> = Effort applied at the effort wheel<\/p>\n\n\n\n

         D<\/em> = Diameter of the effort wheel A<\/p>\n\n\n\n

         d<\/em> = Diameter of load drum L<\/p>\n\n\n\n

         T<\/em> = Number of teeth on worm wheel C<\/p>\n\n\n\n

There are three variants of worm and worm wheel: single start, double start, and triple start.<\/p>\n\n\n\n

Single Start:<\/em><\/strong> If the worm B be single threaded then with one revolution of worm B, there will be movement of one tooth on worm wheel C.<\/p>\n\n\n\n

First one revolution of effort wheel A, the distance moved by the effort P<\/em> = \u03c0 <\/em>D<\/p>\n\n\n\n

Load drum L will rotate by \"equation\" revolution<\/p>\n\n\n\n

Now, the distance moved by load <\/em>\"equation\"<\/p>\n\n\n\n

\"Equation\"\/<\/figure>\n\n\n\n

Double Start:<\/em><\/strong> If the worm B be double threaded then with one revolution of worm B, there will be movement of two teeth on worm wheel C.<\/p>\n\n\n\n

First one revolution of effort wheel A, the distance moved by the effort P<\/em> = \u03c0 D<\/em><\/p>\n\n\n\n

Load drum L will rotate by \"equation\" revolution<\/p>\n\n\n\n

Now, the distance moved by load <\/em>\"equation\"<\/p>\n\n\n\n

\"Equation\"\/<\/figure>\n\n\n\n

Triple Start:<\/em><\/strong> If the worm B be triple threaded then with one revolution of worm B, there will be movement of three teeth on worm wheel C.<\/p>\n\n\n\n

Similar to single start and double start, VR and MA for triple start worm.<\/p>\n\n\n\n

\"Equation\"\/<\/figure>\n\n\n\n

Example 13.10:<\/strong> A worm of pitch 10 mm, single start has a hand wheel of radius 50 mm. It is meshed with a worm wheel of 120 teeth. Worm wheel consists of co-axial drum or pulley of diameter 40 mm. A string is wrapped around the drum and one end is connected to the load. If effort required raising a load of 1,000 N is 100 N. Find the efficiency of the machine.<\/p>\n\n\n\n

Solution:<\/p>\n\n\n\n

\"Equation\"\/<\/figure>\n","protected":false},"excerpt":{"rendered":"

shows a worm and worm wheel arrangement. It consists of a threaded screw B called worm and a toothed wheel C called worm wheel. The worm B is in mesh with worm wheel C and their axes are perpendicular to each other. Figure 13.10 Worm and Worm Wheel On the axis of worm B, an effort […]<\/p>\n","protected":false},"author":1,"featured_media":1982,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[345],"tags":[],"class_list":["post-1981","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-lifting-machines"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/07\/download-15.jpeg","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/1981","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/comments?post=1981"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/1981\/revisions"}],"predecessor-version":[{"id":1983,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/1981\/revisions\/1983"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/1982"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=1981"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=1981"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=1981"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}