{"id":230959,"date":"2025-06-10T09:03:37","date_gmt":"2025-06-10T09:03:37","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230959"},"modified":"2025-06-10T09:03:40","modified_gmt":"2025-06-10T09:03:40","slug":"in-uniform-circular-motion-which-of-the-following-quantities-are-constant","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/10\/in-uniform-circular-motion-which-of-the-following-quantities-are-constant\/","title":{"rendered":"In uniform circular motion, which of the following quantities are constant"},"content":{"rendered":"\n

In uniform circular motion, which of the following quantities are constant? Check all that apply: centripetal acceleration the magnitude of the net force instantaneous velocity speed<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct Answers:<\/h3>\n\n\n\n
    \n
  • \u2705 The magnitude of the net force<\/strong><\/li>\n\n\n\n
  • \u2705 Speed<\/strong><\/li>\n<\/ul>\n\n\n\n
    \n\n\n\n

    Explanation <\/h3>\n\n\n\n

    In uniform circular motion<\/strong>, an object moves along a circular path at a constant speed<\/strong>. Despite the speed being constant, the object is continuously changing direction. This directional change means the object is accelerating<\/strong>, even though its speed remains unchanged. This specific type of acceleration, called centripetal acceleration<\/strong>, always points toward the center of the circle<\/strong>.<\/p>\n\n\n\n

    Let\u2019s examine each of the given quantities:<\/p>\n\n\n\n

      \n
    1. Centripetal Acceleration<\/strong>:
      While the magnitude<\/strong> of centripetal acceleration is constant in uniform circular motion (since speed and radius remain constant), its direction<\/strong> changes continuously as the object moves along the circle. Since acceleration is a vector, and its direction changes, centripetal acceleration is not constant<\/strong> in the vector sense \u2014 only its magnitude is<\/strong>.<\/li>\n\n\n\n
    2. The Magnitude of the Net Force<\/strong>:
      The net force acting on an object in uniform circular motion is directed toward the center of the circle and is called centripetal force<\/strong>. Just like acceleration, its direction changes continuously. However, the magnitude<\/strong> of this net force remains constant because it depends on mass, speed, and radius, all of which are constant in uniform circular motion. F=mv2rF = \\frac{mv^2}{r}F=rmv2\u200b Therefore, the magnitude of the net force is constant<\/strong>.<\/li>\n\n\n\n
    3. Instantaneous Velocity<\/strong>:
      Velocity is a vector quantity, meaning it has both magnitude and direction. Although the magnitude<\/strong> (speed) remains constant, the direction<\/strong> of velocity changes continuously. Therefore, instantaneous velocity is not constant<\/strong>.<\/li>\n\n\n\n
    4. Speed<\/strong>:
      Speed is the scalar magnitude of velocity and remains constant<\/strong> throughout uniform circular motion, as the object covers equal distances in equal time intervals along the circular path.<\/li>\n<\/ol>\n\n\n\n
      \n\n\n\n

      Conclusion:<\/h3>\n\n\n\n

      In uniform circular motion, the speed<\/strong> and the magnitude of the net force<\/strong> are constant, while instantaneous velocity<\/strong> and centripetal acceleration<\/strong> (as vectors) are not.<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      In uniform circular motion, which of the following quantities are constant? Check all that apply: centripetal acceleration the magnitude of the net force instantaneous velocity speed The Correct Answer and Explanation is: Correct Answers: Explanation In uniform circular motion, an object moves along a circular path at a constant speed. Despite the speed being constant, […]<\/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-230959","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230959","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=230959"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230959\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230959"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230959"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230959"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}