{"id":11,"date":"2016-05-04T12:48:55","date_gmt":"2016-05-04T12:48:55","guid":{"rendered":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/?page_id=11"},"modified":"2016-05-04T14:29:57","modified_gmt":"2016-05-04T14:29:57","slug":"tutorial-3","status":"publish","type":"page","link":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/tutorial-3\/","title":{"rendered":"Tutorial 3"},"content":{"rendered":"

1\u00a0\u00a0\u00a0\u00a0 If 2\u03c0 radians equals 360\u00b0, calculate the number of degrees in one radian.<\/p>\n

 <\/p>\n

2\u00a0\u00a0\u00a0\u00a0 Calculate the angular velocity in rad s-1<\/sup> of the second hand of an analogue watch.<\/p>\n

 <\/p>\n

3\u00a0\u00a0\u00a0\u00a0 The graph below shows the variation of angular velocity with time for a rotating\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 body.<\/p>\n

 <\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\"Capture\"<\/a>\u00a0\u00a0\u00a0 <\/strong><\/p>\n

\u00a0<\/strong>(a) Find the angular displacement covered in the first 3 seconds.<\/p>\n

(b) Find the total angular displacement for the 6 seconds.<\/p>\n

(c)\u00a0Calculate the angular acceleration of the rotating body.<\/p>\n

 <\/p>\n

4\u00a0\u00a0\u00a0\u00a0 A wheel accelerates uniformly from rest.\u00a0 After 12 s the wheel is completing 100 revolutions per minute (r.p.m.)<\/p>\n

(a) Convert 100 r.p.m. to its equivalent value in rad s-1<\/span><\/sup>.<\/p>\n

(b) Calculate the average angular acceleration of the wheel.<\/p>\n

 <\/p>\n

5\u00a0\u00a0\u00a0 The angular velocity of a car engine\u2019s drive shaft is increased from 100 rad s-1<\/span><\/sup> to 300 rad s-1<\/span><\/sup> in 10 s.<\/p>\n

(a) Calculate the angular acceleration of the drive shaft.<\/p>\n

(b) Calculate the angular displacement during this time.<\/p>\n

(c) A point on the rim of the drive shaft is at a radius of 0.12 m.<\/p>\n

Calculate the distance covered by this point in the 10 s time interval.<\/p>\n

 <\/p>\n

6\u00a0\u00a0\u00a0\u00a0 Use calculus methods to derive the equations for angular motion.\u00a0 The method is very similar to that for linear motion.<\/p>\n

Note:<\/strong> in the unit or course assessment you may be asked to derive the linear motion equations but not<\/strong> the angular motion equations.<\/p>\n","protected":false},"excerpt":{"rendered":"

1\u00a0\u00a0\u00a0\u00a0 If 2\u03c0 radians equals 360\u00b0, calculate the number of degrees in one radian.   2\u00a0\u00a0\u00a0\u00a0 Calculate the angular velocity in rad s-1 of the second hand of an analogue watch.   3\u00a0\u00a0\u00a0\u00a0 The graph below shows the variation of angular velocity with time for a rotating\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 body.   \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0(a) Find the angular … Continue reading Tutorial 3<\/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-11","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/11","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=11"}],"version-history":[{"count":4,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/11\/revisions"}],"predecessor-version":[{"id":23,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/11\/revisions\/23"}],"wp:attachment":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/media?parent=11"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}