{"id":304,"date":"2017-10-27T16:29:26","date_gmt":"2017-10-27T16:29:26","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/chapter\/introduction-to-uniform-circular-motion-and-gravitation\/"},"modified":"2017-11-08T03:24:14","modified_gmt":"2017-11-08T03:24:14","slug":"introduction-to-uniform-circular-motion-and-gravitation","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/chapter\/introduction-to-uniform-circular-motion-and-gravitation\/","title":{"raw":"Introduction to Uniform Circular Motion and Gravitation","rendered":"Introduction to Uniform Circular Motion and Gravitation"},"content":{"raw":"\n<div class=\"splash\" id=\"import-auto-id3121980\">\n<div class=\"bc-figcaption figcaption\">This Australian Grand Prix Formula 1 race car moves in a circular path as it makes the turn. Its wheels also spin rapidly\u2014the latter completing many revolutions, the former only part of one (a circular arc). The same physical principles are involved in each. (credit: Richard Munckton)<\/div>\n<p><span data-type=\"media\" id=\"import-auto-id2679274\" data-alt=\"The figure shows, from front, a red and silver coloured Formula One car turning through a curve in a race on the Melbourne Grand Prix track, with the driver in seat.\"><br>\n                    <img src=\"https:\/\/pressbooks.bccampus.ca\/clalonde\/wp-content\/uploads\/sites\/280\/2017\/10\/Figure_07_00_01a.jpg\" data-media-type=\"image\/jpg\" alt=\"The figure shows, from front, a red and silver coloured Formula One car turning through a curve in a race on the Melbourne Grand Prix track, with the driver in seat.\" width=\"400\"><\/span><\/p><\/div>\n<p id=\"import-auto-id3130527\">Many motions, such as the arc of a bird\u2019s flight or Earth\u2019s path around the Sun, are curved. Recall that Newton\u2019s first law tells us that motion is along a straight line at constant speed unless there is a net external force. We will therefore study not only motion along curves, but also the forces that cause it, including gravitational forces. In some ways, this chapter is a continuation of <a href=\"\/contents\/02f52a02-2484-4ccb-bbd4-3c94edaa8e09@4\">Dynamics: Newton's Laws of Motion<\/a> as we study more applications of Newton\u2019s laws of motion.<\/p>\n<p id=\"import-auto-id3172430\">This chapter deals with the simplest form of curved motion, <span data-type=\"term\" id=\"import-auto-id1920881\">uniform circular motion<\/span>, motion in a circular path at constant speed. Studying this topic illustrates most concepts associated with rotational motion and leads to the study of many new topics we group under the name <em data-effect=\"italics\">rotation<\/em>. Pure <em data-effect=\"italics\">rotational motion<\/em> occurs when points in an object move in circular paths centered on one point. Pure <em data-effect=\"italics\">translational motion<\/em> is motion with no rotation. Some motion combines both types, such as a rotating hockey puck moving along ice.<\/p>\n<div data-type=\"glossary\" class=\"textbox shaded\">\n<h2 data-type=\"glossary-title\">Glossary<\/h2>\n<dl class=\"definition\" id=\"import-auto-id2679165\">\n<dt>uniform circular motion<\/dt>\n<dd id=\"fs-id2639919\">the motion of an object in a circular path at constant speed<\/dd>\n<\/dl>\n<\/div>\n\n","rendered":"<div class=\"splash\" id=\"import-auto-id3121980\">\n<div class=\"bc-figcaption figcaption\">This Australian Grand Prix Formula 1 race car moves in a circular path as it makes the turn. Its wheels also spin rapidly\u2014the latter completing many revolutions, the former only part of one (a circular arc). The same physical principles are involved in each. (credit: Richard Munckton)<\/div>\n<p><span data-type=\"media\" id=\"import-auto-id2679274\" data-alt=\"The figure shows, from front, a red and silver coloured Formula One car turning through a curve in a race on the Melbourne Grand Prix track, with the driver in seat.\"><br \/>\n                    <img decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/clalonde\/wp-content\/uploads\/sites\/280\/2017\/10\/Figure_07_00_01a.jpg\" data-media-type=\"image\/jpg\" alt=\"The figure shows, from front, a red and silver coloured Formula One car turning through a curve in a race on the Melbourne Grand Prix track, with the driver in seat.\" width=\"400\" \/><\/span><\/p>\n<\/div>\n<p id=\"import-auto-id3130527\">Many motions, such as the arc of a bird\u2019s flight or Earth\u2019s path around the Sun, are curved. Recall that Newton\u2019s first law tells us that motion is along a straight line at constant speed unless there is a net external force. We will therefore study not only motion along curves, but also the forces that cause it, including gravitational forces. In some ways, this chapter is a continuation of <a href=\"\/contents\/02f52a02-2484-4ccb-bbd4-3c94edaa8e09@4\">Dynamics: Newton&#8217;s Laws of Motion<\/a> as we study more applications of Newton\u2019s laws of motion.<\/p>\n<p id=\"import-auto-id3172430\">This chapter deals with the simplest form of curved motion, <span data-type=\"term\" id=\"import-auto-id1920881\">uniform circular motion<\/span>, motion in a circular path at constant speed. Studying this topic illustrates most concepts associated with rotational motion and leads to the study of many new topics we group under the name <em data-effect=\"italics\">rotation<\/em>. Pure <em data-effect=\"italics\">rotational motion<\/em> occurs when points in an object move in circular paths centered on one point. Pure <em data-effect=\"italics\">translational motion<\/em> is motion with no rotation. Some motion combines both types, such as a rotating hockey puck moving along ice.<\/p>\n<div data-type=\"glossary\" class=\"textbox shaded\">\n<h2 data-type=\"glossary-title\">Glossary<\/h2>\n<dl class=\"definition\" id=\"import-auto-id2679165\">\n<dt>uniform circular motion<\/dt>\n<dd id=\"fs-id2639919\">the motion of an object in a circular path at constant speed<\/dd>\n<\/dl>\n<\/div>\n","protected":false},"author":211,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"all-rights-reserved"},"chapter-type":[],"contributor":[],"license":[56],"class_list":["post-304","chapter","type-chapter","status-publish","hentry","license-all-rights-reserved"],"part":302,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/wp-json\/pressbooks\/v2\/chapters\/304","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/wp-json\/wp\/v2\/users\/211"}],"version-history":[{"count":1,"href":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/wp-json\/pressbooks\/v2\/chapters\/304\/revisions"}],"predecessor-version":[{"id":305,"href":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/wp-json\/pressbooks\/v2\/chapters\/304\/revisions\/305"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/wp-json\/pressbooks\/v2\/parts\/302"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/wp-json\/pressbooks\/v2\/chapters\/304\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/wp-json\/wp\/v2\/media?parent=304"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/wp-json\/pressbooks\/v2\/chapter-type?post=304"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/wp-json\/wp\/v2\/contributor?post=304"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/ubcbatessandbox\/wp-json\/wp\/v2\/license?post=304"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}