{"id":46,"date":"2016-05-06T10:57:55","date_gmt":"2016-05-06T10:57:55","guid":{"rendered":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/?page_id=46"},"modified":"2016-06-09T13:06:41","modified_gmt":"2016-06-09T13:06:41","slug":"ink-exercise-1","status":"publish","type":"page","link":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/ink-exercise-1\/","title":{"rendered":"Rotational Motion 1"},"content":{"rendered":"<p><strong><u>\u00a0<\/u><\/strong><\/p>\n<p><strong><u>\u00a0<\/u><\/strong><\/p>\n<p style=\"text-align: center\"><strong><u>ROTATIONAL MOTION\u00a01<\/u><\/strong><\/p>\n<p><strong><u>\u00a0<\/u><\/strong><\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<ol>\n<li>A rocket\u2019s acceleration function is described by:<\/li>\n<\/ol>\n<p><a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Capture.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-50\" src=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Capture.png\" alt=\"Capture\" width=\"73\" height=\"48\" \/><\/a><\/p>\n<p>(a) Derive the velocity function, if at t = 0, the velocity is 10ms<sup>-1<\/sup>.<\/p>\n<p>(b) Derive the displacement function if the initial displacement is 50m.<\/p>\n<p>(c) Calculate the displacement of the rocket when t = 10s.<\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<ol start=\"2\">\n<li>\u00a0A\u00a0body moves with displacement\u00a0function s = 4 + 12t\u00a0&#8211;\u00a0t<sup>3<\/sup>.<\/li>\n<\/ol>\n<p>(a) When will it stop and reverse its direction of motion?<\/p>\n<p>(b) Find its acceleration when t = 0.<\/p>\n<p>(c) Find its acceleration at the time it reverses its direction.<\/p>\n<p>(d) How can you tell from the position equation that the acceleration is <strong>not<\/strong> constant?<\/p>\n<p>&nbsp;<\/p>\n<ol start=\"3\">\n<li>\u00a0If the Moon rotates about the Earth in a circular path of radius 3.85 x 10<sup>8<\/sup>m, with a period of 27.3 days, find;<\/li>\n<\/ol>\n<p>(a) Its angular velocity.<\/p>\n<p>(b) Its speed relative to the Earth.<\/p>\n<p>&nbsp;<\/p>\n<ol start=\"4\">\n<li>\u00a0A point on the rim of a train wheel of diameter 1.2m decelerates from 30ms<sup>-1<\/sup> to 18ms<sup>-1<\/sup> in 12s. Calculate;<\/li>\n<\/ol>\n<p>(a) The angular deceleration<\/p>\n<p>(b) The distance travelled by the train during this time.<\/p>\n<p>&nbsp;<\/p>\n<ol start=\"5\">\n<li>\u00a0A string 2.0m long is attached to a fixed point as shown.<\/li>\n<\/ol>\n<p><a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Capture1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-51\" src=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Capture1.png\" alt=\"Capture\" width=\"206\" height=\"220\" \/><\/a><\/p>\n<p><span style=\"color: #000000;font-family: Times New Roman\">A lead sphere of mass 75g is attached to the other end. If the sphere describes a horizontal circle of radius 1.0m with a steady speed, find;<\/span><\/p>\n<p><span style=\"color: #000000;font-family: Times New Roman\">(a) The tension in the string.<\/span><\/p>\n<p><span style=\"color: #000000;font-family: Times New Roman\">(b) The period of the pendulum.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0 \u00a0 ROTATIONAL MOTION\u00a01 \u00a0 \u00a0 A rocket\u2019s acceleration function is described by: (a) Derive the velocity function, if at t = 0, the velocity is 10ms-1. (b) Derive the displacement function if the initial displacement is 50m. (c) Calculate the displacement of the rocket when t = 10s. \u00a0 \u00a0A\u00a0body moves with displacement\u00a0function s &hellip; <a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/ink-exercise-1\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Rotational Motion 1<\/span> <span class=\"meta-nav\">&rarr;<\/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-46","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/46","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=46"}],"version-history":[{"count":7,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/46\/revisions"}],"predecessor-version":[{"id":89,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/46\/revisions\/89"}],"wp:attachment":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/media?parent=46"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}