{"id":3695,"date":"2023-01-09T10:17:21","date_gmt":"2023-01-09T10:17:21","guid":{"rendered":"https:\/\/9thclass.deltapublications.in\/?page_id=3695"},"modified":"2024-11-26T11:40:14","modified_gmt":"2024-11-26T11:40:14","slug":"s-8-f-uniform-cercular-motion","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/s-8-f-uniform-cercular-motion\/","title":{"rendered":"S-8.f Uniform Cercular Motion"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Uniform Cercular Motion<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key Notes :<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-f81842bd7a6530d17ca4bf0cbef6f6f7\" style=\"color:#000060\"><strong>Definition<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Uniform Circular Motion refers to the motion of an object that moves in a circular path with constant speed. The magnitude of the velocity remains the same, but the direction of the velocity is constantly changing.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-bed3b24322e53ce82eee4a4bdb1612c5\" style=\"color:#000060\"><strong>Characteristics<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Constant Speed<\/strong>: The object moves at a constant speed, but its direction of motion changes continuously.<\/li>\n\n\n\n<li><strong>Centripetal Acceleration<\/strong>: Even though the speed is constant, the velocity is changing due to the continuous change in direction. This results in acceleration, called centripetal acceleration, which is always directed towards the center of the circle.<\/li>\n\n\n\n<li><strong>Centripetal Force<\/strong>: A force is required to keep the object moving in a circle. This force is called the centripetal force and is directed towards the center of the circle. It could be tension, gravitational force, or friction, depending on the scenario.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-16d5db12142c9f7800d8f50ac274547f\" style=\"color:#000060\"><strong>Formulae<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Centripetal Acceleration (a\u2090)<\/strong>:<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\">a<sub>a<\/sub> = v<sup>2<\/sup> \/ r<\/p>\n\n\n\n<p>\u200bwhere v is the speed of the object and r is the radius of the circular path.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Centripetal Force (F\u2090)<\/strong>:<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\">F<sub>a<\/sub> = mv<sup>2<\/sup> \/ r<\/p>\n\n\n\n<p>where m is the mass of the object, v is its speed, and r is the radius of the circle.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-0365e5dd852a22187361a9bab6f16e88\" style=\"color:#000060\"><strong>Relationship Between Linear Velocity and Angular Velocity<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The object\u2019s linear velocity v (speed along the path) is related to angular velocity \u03c9 (rate of change of angle) by: <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\">v = \u03c9r <\/p>\n\n\n\n<p>where r is the radius of the circle and \u03c9 is the angular velocity in radians per second.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-26629181e877b05eba30e9f28b3aa894\" style=\"color:#000060\"><strong>Period and Frequency<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Period (T)<\/strong>: The time taken to complete one full revolution of the circle. It is related to the speed v and the radius r by the equation: <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\">T = 2\u03c0r \/ v<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Frequency (f)<\/strong>: The number of revolutions per unit time. The relationship between period and frequency is given by:<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"> f = 1 \/ T<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-a92d156b63f3b3bcb4d4a9a14ab20c11\" style=\"color:#000060\"><strong>Examples of Uniform Circular Motion<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A satellite orbiting the Earth.<\/li>\n\n\n\n<li>A car moving around a circular track at constant speed.<\/li>\n\n\n\n<li>The motion of an electron around the nucleus of an atom (idealized model).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-67c81aa1bee17816b46ba500434df670\" style=\"color:#000060\"><strong>Key Differences from Other Types of Motion<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Unlike linear motion, in uniform circular motion, the object\u2019s velocity changes direction, even though its speed remains constant.<\/li>\n\n\n\n<li>The object experiences a centripetal force that keeps it in the circular path, which is not present in linear motion.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color\" style=\"color:#d90000\">Let&#8217;s practice!<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/82462\/333\/564\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-2-35.png\" alt=\"\" class=\"wp-image-6444\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-2-35.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-2-35-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-2-35-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/81561\/326\/952\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-1-1-37.png\" alt=\"\" class=\"wp-image-6445\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-1-1-37.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-1-1-37-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-1-1-37-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Uniform Cercular Motion Key Notes : Definition: Characteristics: Formulae: aa = v2 \/ r \u200bwhere v is the speed of the object and r is the radius of the circular path. Fa = mv2 \/ r where m is the mass of the object, v is its speed, and r is the radius of the<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/s-8-f-uniform-cercular-motion\/\">Continue reading <span class=\"screen-reader-text\">&#8220;S-8.f Uniform Cercular Motion&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-3695","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/3695","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=3695"}],"version-history":[{"count":14,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/3695\/revisions"}],"predecessor-version":[{"id":16194,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/3695\/revisions\/16194"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=3695"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}