{"id":217673,"date":"2025-05-22T10:15:42","date_gmt":"2025-05-22T10:15:42","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=217673"},"modified":"2025-05-22T10:15:44","modified_gmt":"2025-05-22T10:15:44","slug":"in-uniform-circular-motion-which-of-the-following-quantities-are-constant-speed-instantaneous-velocity-centripetal-acceleration-the-magnitude-of-the-net-force","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/22\/in-uniform-circular-motion-which-of-the-following-quantities-are-constant-speed-instantaneous-velocity-centripetal-acceleration-the-magnitude-of-the-net-force\/","title":{"rendered":"In uniform circular motion, which of the following quantities are constant: speed, instantaneous velocity, centripetal acceleration, the magnitude of the net force"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">In uniform circular motion, which of the following quantities are constant: speed, instantaneous velocity, centripetal acceleration, the magnitude of the net force?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Correct Answer: Speed and the magnitude of the net force are constant.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300+ words):<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Uniform circular motion refers to the motion of an object traveling in a circular path at a <strong>constant speed<\/strong>. Although the speed remains the same, the <strong>direction of motion continuously changes<\/strong> due to the circular path. This change in direction causes a change in <strong>velocity<\/strong> and requires a <strong>net force<\/strong>, called the <strong>centripetal force<\/strong>, to keep the object moving in a circle.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s break down the quantities mentioned:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Speed \u2013 Constant<\/strong><br>Speed is a scalar quantity that measures how fast an object is moving, regardless of direction. In uniform circular motion, the <strong>magnitude<\/strong> of velocity (i.e., speed) remains unchanged throughout the motion. So <strong>speed is constant<\/strong>.<\/li>\n\n\n\n<li><strong>Instantaneous Velocity \u2013 Not Constant<\/strong><br>Velocity is a <strong>vector quantity<\/strong>, meaning it has both magnitude and direction. While the speed (magnitude of velocity) is constant, the <strong>direction of velocity is continuously changing<\/strong> because the object is always turning. Therefore, <strong>instantaneous velocity is not constant<\/strong>.<\/li>\n\n\n\n<li><strong>Centripetal Acceleration \u2013 Not Constant in Direction, but Magnitude is Constant<\/strong><br>Centripetal acceleration always points toward the center of the circle and is responsible for changing the direction of the velocity. Its <strong>magnitude<\/strong> is given by $a_c = \\frac{v^2}{r}$, where $v$ is the constant speed and $r$ is the radius of the circle. Because both $v$ and $r$ are constant in uniform circular motion, the <strong>magnitude of centripetal acceleration is constant<\/strong>, but its <strong>direction changes constantly<\/strong>, following the direction toward the center at each point on the path.<\/li>\n\n\n\n<li><strong>Magnitude of the Net Force \u2013 Constant<\/strong><br>The net force required to keep the object in circular motion is the <strong>centripetal force<\/strong>, which has a constant magnitude given by $F = \\frac{mv^2}{r}$. Since both $m$ and $v$ are constant, and the radius $r$ doesn\u2019t change, the <strong>magnitude of the net force is constant<\/strong>. However, like acceleration, the <strong>direction of the net force also changes continuously<\/strong>, always pointing toward the center.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Summary:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Constant:<\/strong> Speed, Magnitude of Net Force<\/li>\n\n\n\n<li><strong>Not Constant:<\/strong> Instantaneous Velocity, Direction of Centripetal Acceleration<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/05\/image-37.png\" alt=\"\" class=\"wp-image-217674\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>In uniform circular motion, which of the following quantities are constant: speed, instantaneous velocity, centripetal acceleration, the magnitude of the net force? The Correct Answer and Explanation is: Correct Answer: Speed and the magnitude of the net force are constant. Explanation (300+ words): Uniform circular motion refers to the motion of an object traveling in [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-217673","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/217673","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=217673"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/217673\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=217673"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=217673"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=217673"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}