{"id":376,"date":"2018-01-30T12:42:30","date_gmt":"2018-01-30T04:42:30","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=376"},"modified":"2018-01-30T12:42:30","modified_gmt":"2018-01-30T04:42:30","slug":"uniform-motion-in-a-horizontal-circle-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/uniform-motion-in-a-horizontal-circle-problems-and-solutions.htm","title":{"rendered":"Uniform motion in a horizontal circle \u2013 problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

1. A 0.2-kg ball, attached to the end of a horizontal cord, is revolved in a circle of radius 1 meter and ball’s maximum speed is 10 rpm. What is the magnitude of the centripetal acceleration<\/a> and the magnitude of the tension force?<\/span><\/span><\/p>\n

Known :<\/u><\/span><\/span><\/p>\n

Mass<\/a> (m) = 0.2 kg<\/span><\/span><\/p>\n

Radius (r) = 1 m<\/span><\/span><\/p>\n

Angular velocity<\/a> (\u03c9)<\/span><\/span> = 10 rev\/min = 10 rev\/60 s = 0.17 rev\/s = (0.17)(6.28 rad)\/s = 1 rad\/s<\/span><\/span><\/p>\n

Velocity<\/a> (v) = r <\/span><\/span>\u03c9<\/span><\/span> = (1 m)(1 rad\/s) = 1 m\/s<\/span><\/span><\/p>\n

Wanted :<\/u><\/span><\/span> a<\/span><\/span>s<\/span><\/span><\/sub> dan <\/span><\/span>\u03a3<\/span><\/span>F<\/span><\/span><\/p>\n

Solution :<\/u><\/span><\/span><\/p>\n

(a) The magnitude of the centripetal acceleration<\/span><\/span><\/p>\n

\"Uniform<\/p>\n

(b) The magnitude of the tension force<\/span><\/span><\/p>\n

\u03a3<\/span><\/span>F = m a<\/span><\/span><\/p>\n

T = m a<\/span><\/span>s<\/span><\/span><\/sub><\/p>\n

T = (0.2 kg)(1 m\/s<\/span><\/span>2<\/span><\/span><\/sup>) <\/span><\/span><\/p>\n

T = 0.2 kg m\/s<\/span><\/span>2<\/span><\/span><\/sup><\/p>\n

T = 0.2 N<\/span><\/span><\/p>\n

<\/p>\n

2. A 1-kg ball at the end of a string is revolving uniformly in a horizontal circle of radius 1 m. The cord will break when the tension in it exceeds 100 N. What is the maximum speed the ball can have?<\/span><\/span><\/p>\n

Known :\"Uniform<\/u><\/span><\/span><\/p>\n

Mass (m) = 1 kg<\/span><\/span><\/p>\n

Radius (r) = 1 meter<\/span><\/span><\/p>\n

Tension force (T) = centripetal force<\/a> (<\/span><\/span>\u03a3<\/span><\/span>F) = 100 N<\/span><\/span><\/p>\n

Wanted:<\/u><\/span><\/span> v maximum<\/span><\/span><\/p>\n

Solution :<\/u><\/span><\/span><\/p>\n

\"Uniform<\/p>\n

<\/p>\n

[wpdm_package id=’499′]<\/p>\n

    \n
  1. Mass and weight<\/a><\/li>\n
  2. Normal force<\/a><\/li>\n
  3. Newton’s second law of motion<\/a><\/li>\n
  4. Friction force<\/a><\/li>\n
  5. Motion on a horizontal surface without friction force<\/a><\/li>\n
  6. The motion of two bodies with the same acceleration on the rough horizontal surface with a friction force<\/a><\/li>\n
  7. Motion on an inclined plane without friction force<\/a><\/li>\n
  8. Motion on the rough inclined plane with the friction force<\/a><\/li>\n
  9. Motion in an elevator<\/a><\/li>\n
  10. The motion of bodies connected by cord and pulley<\/a><\/li>\n
  11. Two bodies with the same magnitude of accelerations<\/a><\/li>\n
  12. Rounding a flat curve – dynamics of circular motion<\/a><\/li>\n
  13. Rounding a banked curve – dynamics of circular motion<\/a><\/li>\n
  14. Uniform motion in a horizontal circle<\/a><\/li>\n
  15. Centripetal force in uniform circular motion<\/a><\/li>\n<\/ol>\n

    <\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"

    1. A 0.2-kg ball, attached to the end of a horizontal cord, is revolved in a circle of radius 1 meter and ball’s maximum speed is 10 rpm. What is the magnitude of the centripetal acceleration and the magnitude of the tension force? Known : Mass (m) = 0.2 kg Radius (r) = 1 m … Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Uniform motion in a horizontal circle \u2013 problems and solutions","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-376","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/376","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=376"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/376\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=376"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=376"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=376"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}