{"id":1974,"date":"2024-07-30T22:06:38","date_gmt":"2024-07-30T22:06:38","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=1974"},"modified":"2024-07-30T22:06:38","modified_gmt":"2024-07-30T22:06:38","slug":"differential-wheel-and-axle","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/07\/30\/differential-wheel-and-axle\/","title":{"rendered":"DIFFERENTIAL WHEEL AND AXLE"},"content":{"rendered":"\n

shows the arrangement of differential wheel and axle. It is used to lift the heavier loads. In this lifting machine, the axle is made up of two cylindrical axles B and C of different diameters d<\/em>1<\/sub> and d<\/em>2<\/sub>, respectively. Wheel A has larger diameter, D. The wheel A and axles B and C are keyed to the same shaft. The string is wound on the axle B and C in such a way that if the shaft rotates, the string unwinds on the axle C and winds at the same time on axle B, thereby lifting the load W<\/em> attached to the snatch block. String on the wheel A and string on the axle C must wound in the same direction. During the unwinding from the wheel A, the other string should unwind on axle C and wind on axle B.<\/p>\n\n\n\n

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

Figure 13.6<\/strong> Differential Wheel and Axle<\/p>\n\n\n\n

Let P<\/em> = Effort applied on wheel A<\/p>\n\n\n\n

      W<\/em> = Load lifted by axle<\/p>\n\n\n\n

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

      d<\/em>1<\/sub> = Diameter of load axle B<\/p>\n\n\n\n

      d<\/em>2<\/sub> = Diameter of load axle C<\/p>\n\n\n\n

Since the wheel A, axles B and C are keyed to the same shaft thus, the number of revolution of the wheel and axles per unit time will be same.<\/p>\n\n\n\n

For one revolution of wheel and axle,<\/p>\n\n\n\n

        Distance moved by the effort, P<\/em> = \u03c0D<\/em><\/p>\n\n\n\n

Distance moved by a point on axle, B<\/em> = \u03c0d<\/em>1<\/sub><\/p>\n\n\n\n

Distance moved by a point on axle, C<\/em> = \u03c0d<\/em>2<\/sub><\/p>\n\n\n\n

The distance through which the load W<\/em> is lifted = \"equation\"<\/p>\n\n\n\n

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

Example 13.5:<\/strong> In a differential wheel and axle, the diameter of wheel is 12 cm and that of axles are 6 and 4 cm. If the efficiency of the machine is 75% find the effort required to lift a load of 250 N. Calculate the number of revolutions made by the machine in lifting the load by a distance of 22 cm.<\/p>\n\n\n\n

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

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

    \u2234 Distance moved by the load is \"equation\" in one revolution.<\/p>\n\n\n\n

    \u2234 Distance moved by the load is 22 cm in \"equation\" revolution.<\/p>\n","protected":false},"excerpt":{"rendered":"

shows the arrangement of differential wheel and axle. It is used to lift the heavier loads. In this lifting machine, the axle is made up of two cylindrical axles B and C of different diameters d1 and d2, respectively. Wheel A has larger diameter, D. The wheel A and axles B and C are keyed to the same […]<\/p>\n","protected":false},"author":1,"featured_media":1976,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[345],"tags":[],"class_list":["post-1974","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-14-1.jpeg","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/1974","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=1974"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/1974\/revisions"}],"predecessor-version":[{"id":1977,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/1974\/revisions\/1977"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/1976"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=1974"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=1974"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=1974"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}