{"id":760,"date":"2019-06-17T19:13:36","date_gmt":"2019-06-17T19:13:36","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/?post_type=chapter&#038;p=760"},"modified":"2019-08-06T19:09:06","modified_gmt":"2019-08-06T19:09:06","slug":"why-it-matters-rotational-work-and-kinetic-energy","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/chapter\/why-it-matters-rotational-work-and-kinetic-energy\/","title":{"raw":"Why It Matters:  Rotational Work and Kinetic Energy","rendered":"Why It Matters:  Rotational Work and Kinetic Energy"},"content":{"raw":"Now that we have extended objects that can exhibit two different types of motion, translational motion and rotational motion, how we have previously calculated the kinetic energy of an object, `\\frac{1}{2}mv^2`, can no longer be sufficient to keep track of the total energy an object has due to its motion.\u00a0 Because we have two types of motion, we need two forms of kinetic energy.\u00a0 Though we won\u2019t always have objects that only rotate about their center of mass, an axis through the center of mass does provide a useful framework for breaking up the kinetic energy of an object into the two pieces we need, one for the motion of the object\u2019s center of mass and the other for the motion of the object about its center of mass.\u00a0 As a result, we can calculate the translational and rotational kinetic energies of an extended object to keep track of its total kinetic energy.","rendered":"<p>Now that we have extended objects that can exhibit two different types of motion, translational motion and rotational motion, how we have previously calculated the kinetic energy of an object, `\\frac{1}{2}mv^2`, can no longer be sufficient to keep track of the total energy an object has due to its motion.\u00a0 Because we have two types of motion, we need two forms of kinetic energy.\u00a0 Though we won\u2019t always have objects that only rotate about their center of mass, an axis through the center of mass does provide a useful framework for breaking up the kinetic energy of an object into the two pieces we need, one for the motion of the object\u2019s center of mass and the other for the motion of the object about its center of mass.\u00a0 As a result, we can calculate the translational and rotational kinetic energies of an extended object to keep track of its total kinetic energy.<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-760\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Why It Matters:  Rotational Work and Kinetic Energy. <strong>Authored by<\/strong>: Raymond Chastain. <strong>Provided by<\/strong>: University of Louisville, Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":25803,"menu_order":1,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Why It Matters:  Rotational Work and Kinetic Energy\",\"author\":\"Raymond Chastain\",\"organization\":\"University of Louisville, Lumen 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