{"id":8445,"date":"2019-05-22T16:07:47","date_gmt":"2019-05-22T16:07:47","guid":{"rendered":"http:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/moment_of_inertia_-i\/"},"modified":"2019-05-22T16:07:47","modified_gmt":"2019-05-22T16:07:47","slug":"moment_of_inertia_-i","status":"publish","type":"post","link":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/moment_of_inertia_-i\/","title":{"rendered":"Moment of inertia (I)"},"content":{"rendered":"<p>Also referred to as rotational inertia, it amounts to resistance to a change in angular velocity (and is thus the rotational analog of mass for linear motion). &nbsp;The moment of inertia has to be specified relative to a chosen axis of rotation. &nbsp;In the case of <a href=\"http:\/\/scienceworld.wolfram.com\/physics\/PointMass.html\" target=\"_self\" data-editable-link=\"http:\/\/scienceworld.wolfram.com\/physics\/PointMass.html&amp;target=_self\" rel=\"noopener noreferrer\">point mass<\/a>, it is the sum of the products of mass (<span class=\"\" style=\"font-style: italic;\">dm<\/span>) of each element in a body and the square of its perpendicular distance (<span class=\"\" style=\"font-style: italic;\">r<\/span>) from the axis. &nbsp;Thus, <span class=\"\" style=\"font-style: italic;\">I = r2dm. &nbsp;<\/span>This specification serves as the basis of all other moments of inertia as any object can be built up from a collection of point masses. &nbsp;<\/p>\n<p>See <a href=\"biomechanics\">Biomechanics<\/a>, <a href=\"center_of_gravity\">Center of gravity<\/a>, <a href=\"center_of_mass\">Center of mass<\/a>, <a href=\"dynamics\">Dynamics<\/a>, <a href=\"inertia\">Inertia<\/a>, <a href=\"kinetic_energy\">Kinetic energy<\/a>, <a href=\"mass\">Mass<\/a>, <a href=\"moment_of_force\">Moment of force<\/a>, Velocity <\/p>\n<p><\/p>\n<p><\/p>\n<p><\/body><\/html><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Also referred to as rotational inertia, it amounts to resistance to a change in angular velocity (and is thus the rotational analog of mass for linear motion). &nbsp;The moment of inertia has to be specified relative to a chosen axis of rotation. &nbsp;In the case of point mass, it is the sum of the products &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/moment_of_inertia_-i\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Moment of inertia (I)&#8221;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[2],"class_list":["post-8445","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-glossary","entry"],"_links":{"self":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts\/8445","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/comments?post=8445"}],"version-history":[{"count":0,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts\/8445\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/media?parent=8445"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/categories?post=8445"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/tags?post=8445"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}