{"id":7,"date":"2016-05-04T11:26:59","date_gmt":"2016-05-04T11:26:59","guid":{"rendered":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/?page_id=7"},"modified":"2016-05-04T13:04:40","modified_gmt":"2016-05-04T13:04:40","slug":"tutorial-2","status":"publish","type":"page","link":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/tutorial-2\/","title":{"rendered":"Tutorial 2"},"content":{"rendered":"

<\/h1>\n

\u00a0<\/strong><\/p>\n

Angular motion<\/strong><\/p>\n

 <\/p>\n

    \n
  1. Convert the following from degrees to radians:<\/li>\n<\/ol>\n

    30o<\/sup>, 45o<\/sup>, 60 o<\/sup>, 90 o<\/sup>, 180 o<\/sup>, 270 o<\/sup>, 360 o<\/sup>, 720 o<\/sup>.<\/p>\n

     <\/p>\n

      \n
    1. Convert the following from radians to degrees:<\/li>\n<\/ol>\n

      1 rad, 10 rad, 0.1 rad, \u03c0 rad, 2\u03c0 rad, \u03c0\/2 rad,\u00a0 \u03c0\/6 rad.<\/p>\n

       <\/p>\n

        \n
      1. Convert the following from revolutions per minute to radians per second:<\/li>\n<\/ol>\n

        33 rpm,\u00a0 45 rpm,\u00a0 78 rpm,\u00a0 300 rpm.<\/p>\n

         <\/p>\n

          \n
        1. Using calculus notation write down the expression for<\/li>\n<\/ol>\n

          (a)\u00a0\u00a0 the angular velocity in terms of the angular displacement<\/p>\n

          (b) \u00a0 the angular acceleration in terms of the angular velocity<\/p>\n

          (c)\u00a0\u00a0 the angular acceleration in terms of the angular displacement.<\/p>\n

           <\/p>\n

            \n
          1. State the three equations which can be used when an object moves with a constant angular acceleration, \u03b1.<\/li>\n<\/ol>\n

            State the meaning of each symbol used.<\/p>\n

             <\/p>\n

              \n
            1. A disc is slowed uniformly at 5.0 rad s-2<\/sup> for 4.0 s. The initial angular velocity is 200\u00a0rad s-1<\/sup>.<\/li>\n<\/ol>\n

              (a)\u00a0\u00a0 Determine the angular velocity at the end of the four seconds.<\/p>\n

              (b)\u00a0\u00a0 What is the angular displacement in this time?<\/p>\n

               <\/p>\n

                \n
              1. The angular velocity of an engine is increased from 800 rpm to 3 000 rpm in 8.0 s.<\/li>\n<\/ol>\n

                (a)\u00a0\u00a0 Determine the angular acceleration.\u00a0 You may assume this is uniform.<\/p>\n

                (b)\u00a0\u00a0 Find the total angular displacement.<\/p>\n

                (c)\u00a0\u00a0 How many revolutions does the engine make during this 8.0 s?<\/p>\n

                 <\/p>\n

                  \n
                1. A wheel accelerates uniformly from rest at 3.0 rad s-2<\/sup> for 5.0 s.<\/li>\n<\/ol>\n

                  (a)\u00a0\u00a0 Find<\/p>\n

                  (i)\u00a0\u00a0\u00a0 the final angular velocity after 5.0 s<\/p>\n

                  (ii)\u00a0\u00a0 the angular displacement after 5.0 s.<\/p>\n

                  (b)\u00a0\u00a0 The wheel has a radius of 1.50 m. Determine the linear velocity at a point on its rim at the end of the 5.0 s.<\/p>\n

                  \u00a0<\/strong><\/p>\n

                    \n
                  1. Radius of Earth = 6.4 x 103<\/sup> km Geostationary orbit radius = 3.6 x 104<\/sup> km<\/li>\n<\/ol>\n

                    Radius of Earth\u2019s orbit = 1.5 x 108<\/sup> km\u00a0\u00a0\u00a0\u00a0\u00a0 Radius of Moon\u2019s orbit = 3.8 x 105<\/sup> km<\/p>\n

                    Period of Earth about Sun = 365 days\u00a0\u00a0\u00a0\u00a0 Period of Moon about Earth = 28 days<\/p>\n

                     <\/p>\n

                    (a)\u00a0\u00a0 Calculate the angular velocity in rad s-1<\/sup> of<\/p>\n

                    (i)\u00a0 the Earth about the sun<\/p>\n

                    (ii) \u00a0 the Moon about the Earth<\/p>\n

                    (iii)\u00a0\u00a0 an object on the Earth\u2019s surface about its axis of rotation<\/p>\n

                    (iv)\u00a0 a geostationary satellite.<\/p>\n

                    (b)\u00a0\u00a0 Find the tangential velocity in m s-1 <\/sup>of each of the above quantities in part (a).<\/p>\n

                     <\/p>\n

                      \n
                    1. Derive\u00a0the expression v = r\u03c9\u00a0for a particle in circular motion.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

                      \u00a0 Angular motion   Convert the following from degrees to radians: 30o, 45o, 60 o, 90 o, 180 o, 270 o, 360 o, 720 o.   Convert the following from radians to degrees: 1 rad, 10 rad, 0.1 rad, \u03c0 rad, 2\u03c0 rad, \u03c0\/2 rad,\u00a0 \u03c0\/6 rad.   Convert the following from revolutions per minute … Continue reading Tutorial 2<\/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-7","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/7","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=7"}],"version-history":[{"count":4,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/7\/revisions"}],"predecessor-version":[{"id":17,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/7\/revisions\/17"}],"wp:attachment":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/media?parent=7"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}