{"id":14,"date":"2016-05-04T12:59:19","date_gmt":"2016-05-04T12:59:19","guid":{"rendered":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/?page_id=14"},"modified":"2016-08-16T08:26:42","modified_gmt":"2016-08-16T08:26:42","slug":"tutorial-4","status":"publish","type":"page","link":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/tutorial-4\/","title":{"rendered":"Tutorial 4"},"content":{"rendered":"

Central force<\/strong><\/p>\n

 <\/p>\n

    \n
  1. (a) State the equation\u00a0that relates\u00a0radial acceleration and angular velocity.<\/li>\n<\/ol>\n

    (b)\u00a0State the units of angular and radial acceleration.<\/p>\n

    (c)\u00a0Explain the difference between angular and radial acceleration.<\/p>\n

     <\/p>\n

      \n
    1. Derive the expression a = r\u03c92<\/sup> for the radial acceleration of an object.<\/li>\n<\/ol>\n

       <\/p>\n

        \n
      1. The central force maintaining an object in a circular orbit is given by F = mr\u03c92<\/sup>.<\/li>\n<\/ol>\n

        Sketch graphs showing the variations of:<\/p>\n

        (a)\u00a0central force with mass of the object<\/p>\n

        (b)\u00a0central force with radius of the object<\/p>\n

        (c)\u00a0central force with angular velocity of the object.<\/p>\n

         <\/p>\n

          \n
        1. A piece of string has a breaking force of 56 N. This string is used to whirl a mass of 150 g in a horizontal circle.<\/li>\n<\/ol>\n

          (a)\u00a0The 150 g mass moves in a horizontal circle of radius 1.2 m.\u00a0 Calculate the maximum angular velocity of the mass.<\/p>\n

          (b)\u00a0The mass is rotated at 85 rpm.\u00a0 Find the maximum possible radius of the circular orbit.<\/p>\n

           <\/p>\n

            \n
          1. A swing ball, on a cord of length 1.5 m, has a mass of 2.0 kg. After being hit by a bat, the ball moves in a horizontal circle of radius 0.50 m with a steady speed of 1.33\u00a0m s-1<\/sup>.<\/li>\n<\/ol>\n

            (a)\u00a0Draw a sketch showing the path of the ball on the string.<\/p>\n

            (b)\u00a0Calculate the central acceleration of the ball.<\/p>\n

            (c)\u00a0Draw a sketch showing all the forces on the ball while moving in a horizontal circle. Determine the tension in the string.<\/p>\n

             <\/p>\n

              \n
            1. A 3.0 kg mass is whirled in a vertical circle of radius 0.75 m at a steady speed of 8.0\u00a0m\u00a0s-1<\/sup>.<\/li>\n<\/ol>\n

              (a)\u00a0Calculate the tension in the string at the top of the circle.<\/p>\n

              (b)\u00a0Calculate the tension in the string at the bottom of the circle.<\/p>\n

               <\/p>\n

                \n
              1. A hump backed bridge is in the form of a circular arc of radius 35 m.<\/li>\n<\/ol>\n

                What is the greatest speed with which a car can cross the bridge without leaving the ground at its highest point?<\/p>\n

                 <\/p>\n

                  \n
                1. (a) In a space flight simulator an astronaut is rotated at 20 rpm in a pod which is at the end of an arm of radius 5.0 m.\u00a0 Show that the central force on the astronaut is 2.2g.<\/li>\n<\/ol>\n

                  (b)\u00a0What rotation rate would give a \u2018simulated\u2019 gravity of 3g?<\/p>\n

                   <\/p>\n

                    \n
                  1. Comment on the words centripetal and centrifugal with respect to angular motion.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

                    Central force   (a) State the equation\u00a0that relates\u00a0radial acceleration and angular velocity. (b)\u00a0State the units of angular and radial acceleration. (c)\u00a0Explain the difference between angular and radial acceleration.   Derive the expression a = r\u03c92 for the radial acceleration of an object.   The central force maintaining an object in a circular orbit is given … Continue reading Tutorial 4<\/span> →<\/span><\/a><\/p>\n","protected":false},"author":6460,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-14","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/14","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/users\/6460"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/comments?post=14"}],"version-history":[{"count":2,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/14\/revisions"}],"predecessor-version":[{"id":100,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/14\/revisions\/100"}],"wp:attachment":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/media?parent=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}