{"id":271,"date":"2022-03-24T02:12:33","date_gmt":"2022-03-24T02:12:33","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=271"},"modified":"2022-09-04T14:53:27","modified_gmt":"2022-09-04T08:53:27","slug":"torque-moment-of-inertia-angular-acceleration","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/torque-moment-of-inertia-angular-acceleration\/","title":{"rendered":"\u099f\u09b0\u09cd\u0995, \u099c\u09dc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u0993 \u0995\u09cc\u09a3\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3 |Torque, moment of inertia and angular acceleration"},"content":{"rendered":"\r\n

\u099f\u09b0\u09cd\u0995 (Torque) \u0995\u09bf?<\/strong><\/h2>\r\n

\u0986\u09ae\u09b0\u09be \u099c\u09be\u09a8\u09bf \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u09af\u09bc \u099a\u09b2\u09ae\u09be\u09a8 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09a4\u09c7 \u09a4\u09cd\u09ac\u09b0\u09a3 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf\u09b0 \u099c\u09a8\u09cd\u09af \u09ac\u09b2 \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u0997\u09c7\u09b0 \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u099c\u09a8\u0964 \u09a4\u09c7\u09ae\u09a8\u09bf \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u099a\u09be\u09b0\u09a6\u09bf\u0995\u09c7 \u0998\u09c2\u09b0\u09cd\u09a3\u09be\u09af\u09bc\u09ae\u09be\u09a8 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09a4\u09c7 \u09a4\u09cd\u09ac\u09b0\u09a3 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf\u09b0 \u099c\u09a8\u09cd\u09af\u09c7 \u098f\u0995\u099f\u09bf \u09a6\u09cd\u09ac\u09a8\u09cd\u09a6\u09cd\u09ac\u09c7\u09b0 \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u099c\u09a8 \u09b9\u09af\u09bc\u0964 \u098f\u0987 \u09a6\u09cd\u09ac\u09a8\u09cd\u09a6\u09cd\u09ac\u09c7\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995\u0995\u09c7 \u099f\u09b0\u09cd\u0995 (Torque)<\/strong> \u09ac\u09b2\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

\u09a7\u09b0\u09bf \u098f\u0995\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1 \u098f\u0995\u099f\u09bf \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u0985\u0995\u09cd\u09b7 ??-\u098f\u09b0 \u099a\u09be\u09b0\u09a6\u09bf\u0995\u09c7 ? \u09b8\u09ae\u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09c7\u0997\u09c7 \u0998\u09c1\u09b0\u099b\u09c7 [\u099a\u09bf\u09a4\u09cd\u09b0]\u0964 \u098f\u0996\u09a8 \u09a4\u09be\u09b0 \u0989\u09aa\u09b0 \u098f\u0995\u099f\u09bf \u09af\u09c1\u0997\u09b2 (couple) \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u0997 \u0995\u09b0\u09be\u09af\u09bc \u09a4\u09be\u09b0 \u0995\u09cc\u09a3\u09bf\u0995 \u09ac\u09c7\u0997 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u09aa\u09be\u09ac\u09c7 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09ac\u09b8\u09cd\u09a4\u09c1\u09a4\u09c7 \u0995\u09cc\u09a3\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3 (angular acceleration) \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u09b9\u09ac\u09c7\u0964 \u09ac\u09b8\u09cd\u09a4\u09c1\u09a4\u09c7 \u09b8\u09c3\u09b7\u09cd\u099f \u098f\u0987 \u0995\u09cc\u09a3\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3 \u09a4\u09be\u09b0 \u09aa\u09cd\u09b0\u09a4\u09cd\u09af\u09c7\u0995\u099f\u09bf \u0995\u09a3\u09be\u09b0 \u0995\u09cc\u09a3\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u0964 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u0998\u09c2\u09b0\u09cd\u09a3\u09be\u0995\u09cd\u09b7 \u09b9\u09a4\u09c7 \u0995\u09a3\u09be\u0997\u09c1\u09b2\u09cb \u09ac\u09bf\u09ad\u09bf\u09a8\u09cd\u09a8 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u09c7 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u0995\u09b0\u09c7 \u09ac\u09bf\u09ad\u09bf\u09a8\u09cd\u09a8 \u09b0\u09c8\u0996\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3 \u09b2\u09be\u09ad \u0995\u09b0\u09ac\u09c7\u0964 \u0998\u09c2\u09b0\u09cd\u09a3\u09be\u0995\u09cd\u09b7 \u09b9\u09a4\u09c7 \u0995\u09a3\u09be\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac \u09af\u09a4 \u09ac\u09c7\u09b6\u09bf \u09b9\u09ac\u09c7 \u09b0\u09c8\u0996\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3\u09c7\u09b0 \u09ae\u09be\u09a8\u0993 \u09a4\u09a4 \u09ac\u09c7\u09b6\u09bf \u09b9\u09ac\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

\r\n
\"torque\"<\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n

\u09a7\u09b0\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf m_1, m_2, m_3<\/span>\u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf \u09ad\u09b0\u09c7\u09b0 \u0995\u09a4\u0995\u0997\u09c1\u09b2\u09cb \u0995\u09a3\u09be\u09b0 \u09b8\u09ae\u09a8\u09cd\u09ac\u09af\u09bc\u09c7 \u0997\u09a0\u09bf\u09a4 \u098f\u09ac\u0982 \u0998\u09c2\u09b0\u09cd\u09a3\u09be\u0995\u09cd\u09b7 \u09b9\u09a4\u09c7 \u0995\u09a3\u09be\u0997\u09c1\u09b2\u09cb\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7r_1, r_2, r_3<\/span> \u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf\u0964<\/p>\r\n\r\n\r\n\r\n

\u09ac\u09b0\u09cd\u09a3\u09a8\u09be \u0985\u09a8\u09c1\u09b8\u09be\u09b0\u09c7, \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u09aa\u09cd\u09b0\u09a4\u09cd\u09af\u09c7\u0995\u099f\u09bf \u0995\u09a3\u09be\u09b0 \u0995\u09cc\u09a3\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3, \\alpha = \\frac{d\\omega}{dt}<\/span><\/p>\r\n\r\n\r\n\r\n

\u09a4\u09be \u09b9\u09b2\u09c7 m_1<\/span> \u09ad\u09b0\u09c7\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1 \u0995\u09a3\u09be\u099f\u09bf\u09b0 \u09b0\u09c8\u0996\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3 = r_1 \\frac{d\\omega}{dt} <\/span><\/p>\r\n\r\n\r\n\r\n

\u2234 \u0990 \u0995\u09a3\u09be\u09b0 \u0989\u09aa\u09b0 \u09aa\u09cd\u09b0\u09af\u09c1\u0995\u09cd\u09a4 \u09ac\u09b2 = \u09ad\u09b0 \u00d7\u09b0\u09c8\u0996\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3= m_1 r_1 \\frac{d\\omega}{dt} <\/span><\/p>\r\n\r\n\r\n\r\n

\u2234\u0998\u09c2\u09b0\u09cd\u09a3\u09be\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u0995\u09a3\u09be\u099f\u09bf\u09b0 \u0989\u09aa\u09b0 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09b0\u09a4 \u09ac\u09b2\u09c7\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995=\u09ac\u09b2 \u00d7\u0998\u09c2\u09b0\u09cd\u09a3\u09be\u0995\u09cd\u09b7 \u09b9\u09a4\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09a3\u09be\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac= m_1 r_1 \\frac{d\\omega}{dt} \\times r_1 = m_1 r_1^2 \\frac{d\\omega}{dt} <\/span><\/p>\r\n\r\n\r\n\r\n

\u0985\u09a8\u09c1\u09b0\u09c2\u09aa\u09ad\u09be\u09ac\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09af\u09bc m_2, m_3, m_4 \\cdot \\cdot \\cdot<\/span> \u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf \u09ad\u09b0\u09c7\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09a3\u09be\u09b0 \u0989\u09aa\u09b0 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09b0\u09a4 \u09ac\u09b2\u09c7\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7\u00a0 m_2 r_2^2 \\frac{d\\omega}{dt}, m_3 r_3^2 \\frac{d\\omega}{dt}, m_4 r_4^2 \\frac{d\\omega}{dt}<\/span> \u0987\u09a4\u09cd\u09af\u09be\u09a6\u09bf\u0964<\/p>\r\n\r\n\r\n\r\n

\u09a4\u09be \u09b9\u09b2\u09c7 \u0989\u09aa\u09b0\u09bf\u0989\u0995\u09cd\u09a4 \u09ad\u09cd\u09b0\u09be\u09ae\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u09ae\u09b7\u09cd\u099f\u09bf\u0987 \u0989\u0995\u09cd\u09a4 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09b0\u09a4 \u09a6\u09cd\u09ac\u09a8\u09cd\u09a6\u09cd\u09ac\u09c7\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u09ac\u09be \u099f\u09b0\u09cd\u0995(torque),<\/p>\r\n\r\n\r\n\r\n\\tau = m_1 r_1^2 \\frac{d\\omega}{dt} + m_2 r_2^2 \\frac{d\\omega}{dt} + m_3 r_3^2 \\frac{d\\omega}{dt} + m_4 r_4^2 \\frac{d\\omega}{dt} + \\cdot \\cdot \\cdot <\/span>\r\n\r\n\r\n\r\n(m_1 r_1^2 + m_2 r_2^2 + m_3 r_3^2 + m_4 r_4^2 + \\cdot \\cdot \\cdot) \\frac{d\\omega}{dt} = I \\frac{d\\omega}{dt} = I \\alpha <\/span>\r\n\r\n\r\n\r\n\\therefore \\tau = I \\frac{d\\omega}{dt} = I \\alpha<\/span>\r\n\r\n\r\n\r\n

\u09ac\u09be, \u099f\u09b0\u09cd\u0995(torque) = \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995(moment of inertia) \u00d7 \u0995\u09cc\u09a3\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3(angular acceleration)<\/strong>\u0964 \u0995\u09cc\u09a3\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3\u09c7\u09b0 \u0986\u09ac\u09b0\u09cd\u09a4\u09a8\u09b0\u09a4 \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09a3\u09be\u09b0 \u0989\u09aa\u09b0 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u09b0\u09a4 \u09a6\u09cd\u09ac\u09a8\u09cd\u09a6\u09cd\u09ac\u09c7\u09b0 \u099f\u09b0\u09cd\u0995 \u09b9\u09ac\u09c7 \u0998\u09c2\u09b0\u09cd\u09a3\u09be\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09a4\u09be\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u0993 \u0995\u09cc\u09a3\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3\u09c7\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u0964<\/p>\r\n\r\n\r\n\r\n

\u0986\u09ac\u09be\u09b0, \\frac{d\\omega}{dt}<\/span>=1 \u09b9\u09b2\u09c7, \\tau=I<\/span><\/p>\r\n\r\n\r\n\r\n

\u2234 \u0995\u09cb\u09a8\u09cb \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u099a\u09be\u09b0\u09a6\u09bf\u0995\u09c7 \u0998\u09c2\u09b0\u09cd\u09a3\u09be\u09af\u09bc\u09ae\u09be\u09a8 \u0995\u09cb\u09a8\u09cb \u09a6\u09c3\u09a2\u09bc \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0 \u09af\u09c7 \u099f\u09b0\u09cd\u0995 \u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be \u0995\u09b0\u09b2\u09c7 \u09a4\u09be\u09a4\u09c7 \u098f\u0995\u0995 \u0995\u09cc\u09a3\u09bf\u0995 \u09a4\u09cd\u09ac\u09b0\u09a3\u09c7\u09b0 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u09b9\u09af\u09bc \u09a4\u09be\u0995\u09c7 \u0990 \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09a4\u09be\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995<\/strong> \u09ac\u09b2\u09c7\u0964<\/p>\r\n","protected":false},"excerpt":{"rendered":"

\u099f\u09b0\u09cd\u0995 (Torque) \u0995\u09bf? \u0986\u09ae\u09b0\u09be \u099c\u09be\u09a8\u09bf \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u09af\u09bc \u099a\u09b2\u09ae\u09be\u09a8 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09a4\u09c7 \u09a4\u09cd\u09ac\u09b0\u09a3 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf\u09b0 \u099c\u09a8\u09cd\u09af \u09ac\u09b2 \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u0997\u09c7\u09b0 \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u099c\u09a8\u0964 \u09a4\u09c7\u09ae\u09a8\u09bf \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u099a\u09be\u09b0\u09a6\u09bf\u0995\u09c7 \u0998\u09c2\u09b0\u09cd\u09a3\u09be\u09af\u09bc\u09ae\u09be\u09a8 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09a4\u09c7 \u09a4\u09cd\u09ac\u09b0\u09a3 \u09b8\u09c3\u09b7\u09cd\u099f\u09bf\u09b0 \u099c\u09a8\u09cd\u09af\u09c7 \u098f\u0995\u099f\u09bf \u09a6\u09cd\u09ac\u09a8\u09cd\u09a6\u09cd\u09ac\u09c7\u09b0 \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u099c\u09a8 \u09b9\u09af\u09bc\u0964 \u098f\u0987 \u09a6\u09cd\u09ac\u09a8\u09cd\u09a6\u09cd\u09ac\u09c7\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995\u0995\u09c7 \u099f\u09b0\u09cd\u0995 (Torque) \u09ac\u09b2\u09c7\u0964 \u09a7\u09b0\u09bf \u098f\u0995\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1 \u098f\u0995\u099f\u09bf \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f<\/p>\n

Read More<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4238,3028,50,51],"tags":[911,909,40,910,274,908],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/271"}],"collection":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=271"}],"version-history":[{"count":13,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/271\/revisions"}],"predecessor-version":[{"id":11654,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/271\/revisions\/11654"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=271"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=271"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=271"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}