{"id":2535,"date":"2024-08-24T08:26:39","date_gmt":"2024-08-24T08:26:39","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=2535"},"modified":"2024-08-24T08:26:39","modified_gmt":"2024-08-24T08:26:39","slug":"mechanical-work","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/08\/24\/mechanical-work\/","title":{"rendered":"\u00a0MECHANICAL WORK"},"content":{"rendered":"\n<p id=\"para-239\">When a body, to which force is applied, moves in or opposite direction of the applied force, work is said to be done by or against the body.<\/p>\n\n\n\n<p id=\"para-240\">Mathematically, Work = Force \u00d7 distance or&nbsp;<em>W = F<\/em>&nbsp;\u00d7<em>d<\/em><\/p>\n\n\n\n<p id=\"para-241\"><a><\/a><strong>Unit:&nbsp;<\/strong>The unit of work is Newton metre (Nm) or joule.<\/p>\n\n\n\n<p id=\"para-242\">If,&nbsp;<em>F<\/em>&nbsp;= 1 N and&nbsp;<em>d<\/em>&nbsp;= 1 m; then,&nbsp;<em>W<\/em>&nbsp;= 1 Nm or joule.<\/p>\n\n\n\n<p id=\"para-243\">Thus, when a force of 1 N applied on the body moves it to a distance of 1 m, the work done on the body is said to be 1 Nm or joule.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\" id=\"h5-026\">1.26&nbsp;&nbsp;MECHANICAL POWER<\/h5>\n\n\n\n<p id=\"para-244\">The rate of doing work or the amount of work done per unit time is called power,<strong>&nbsp;<\/strong>that is,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/page18_1.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-245\"><strong>Unit:&nbsp;<\/strong>The unit of mechanical power is Newton metre per second (i.e., Nm\/s) or joule\/second (i.e., J\/s).<\/p>\n\n\n\n<p id=\"para-246\">However, the practical unit of mechanical power is horse power.<\/p>\n\n\n\n<p id=\"para-247\">In fact, the rate of doing 75<em>&nbsp;<\/em>kg<em>&nbsp;<\/em>m of work per second is known as one horse power.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\" id=\"h5-027\">1.27&nbsp;&nbsp;HEAT ENERGY<\/h5>\n\n\n\n<p id=\"para-248\">The form of energy which produces a sensation of warmth is called heat.<\/p>\n\n\n\n<p id=\"para-249\">Mathematically,<\/p>\n\n\n\n<p id=\"para-250\">Heat,<\/p>\n\n\n\n<p id=\"para-251\">&nbsp;<\/p>\n\n\n\n<p><em>H<\/em>&nbsp;=&nbsp;<em>m S&nbsp;<\/em><em>\u03b8<\/em><\/p>\n\n\n\n<p id=\"para-252\">Where<\/p>\n\n\n\n<p id=\"para-253\">&nbsp;<\/p>\n\n\n\n<p><em>m<\/em>&nbsp;= mass of the body;<\/p>\n\n\n\n<p><em>S<\/em>&nbsp;= specific heat of the body; and<\/p>\n\n\n\n<p><em>\u03b8<\/em>&nbsp;= rise or fall in temperature.<\/p>\n\n\n\n<p id=\"para-254\"><strong>Unit:&nbsp;<\/strong>The unit of heat is kilocalorie (kcal)<\/p>\n\n\n\n<p id=\"para-255\">If,&nbsp;<em>m<\/em>&nbsp;= 1 kg;&nbsp;<em>\u03b8<\/em>&nbsp;= 1\u00b0C, and&nbsp;<em>S<\/em>&nbsp;= 1, that is, specific heat of water.<\/p>\n\n\n\n<p id=\"para-256\">Then,&nbsp;<em>H<\/em>&nbsp;= 1 kcal<\/p>\n\n\n\n<p id=\"para-257\">Hence, the amount of heat required to raise the temperature of 1<em>&nbsp;<\/em>kg of water through 1\u00b0C is called one kilocalorie.<\/p>\n\n\n\n<p id=\"para-258\">However, the smaller unit of heat energy is calorie.<\/p>\n\n\n\n<p id=\"para-259\">One calorie is defined as the amount of heat required to raise the temperature of 1 gram of water through 1\u00b0C.<\/p>\n\n\n\n<p id=\"para-260\">&nbsp;<\/p>\n\n\n\n<p>1 kilocalorie = 1000 calories<\/p>\n\n\n\n<h5 class=\"wp-block-heading\" id=\"h5-028\">1.28&nbsp;&nbsp;JOULES LAW OF ELECTRICAL HEATING<\/h5>\n\n\n\n<p id=\"para-261\">Joule (James Prescott Joule) established that there exists a definite relation between electrical energy expended and amount of heat produced. Thus, the relation is called Joule\u2019s law of electrical heating.<\/p>\n\n\n\n<p id=\"para-262\">This law stated that the amount of heat produced (H) is directly proportional to the electrical energy expended (W).<\/p>\n\n\n\n<p id=\"para-263\">That is,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/page18_2.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-264\">Where J is a constant called mechanical equivalent of heat and its value is determined as 4.18<em>&nbsp;<\/em>joule per calorie (i.e., 1 calorie = 4.18 joule). It means that to produce one calorie of heat, 4.18 J of electrical energy is expended.<\/p>\n\n\n\n<p id=\"para-265\">From equation (1.8), we get,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/page19_1.png\" alt=\"img\"\/><\/figure>\n\n\n\n<p id=\"para-266\">where&nbsp;<em>I&nbsp;<\/em><sup>2<\/sup><em>Rt<\/em>&nbsp;is the electrical energy in joule.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When a body, to which force is applied, moves in or opposite direction of the applied force, work is said to be done by or against the body. Mathematically, Work = Force \u00d7 distance or&nbsp;W = F&nbsp;\u00d7d Unit:&nbsp;The unit of work is Newton metre (Nm) or joule. If,&nbsp;F&nbsp;= 1 N and&nbsp;d&nbsp;= 1 m; then,&nbsp;W&nbsp;= 1 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2211,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[403],"tags":[],"class_list":["post-2535","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-concepts-of-circuit-theory"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/08\/thermodynamics-1.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2535","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=2535"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2535\/revisions"}],"predecessor-version":[{"id":2536,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2535\/revisions\/2536"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/2211"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=2535"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=2535"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=2535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}