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# hw7 - sousse(res2468 HW 7 Kleinman(58225 This print-out...

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sousse (res2468) – HW 7 – Kleinman – (58225) 2 004 (part 1 of 3) 10.0 points An athlete swings a 4 . 7 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0 . 692 m at an angular speed of 0 . 683 rev / s. What is the tangential speed of the ball? Correct answer: 2 . 96966 m / s. Explanation: Let : m = 4 . 7 kg , r = 0 . 692 m , and w = 0 . 683 rev / s . v t = r ω = (0 . 692 m) (0 . 683 rev / s) · parenleftbigg 2 π rad 1 rev parenrightbigg = 2 . 96966 m / s . 005 (part 2 of 3) 10.0 points What is its centripetal acceleration? Correct answer: 12 . 7441 m / s 2 . Explanation: a c = v 2 r = r ω 2 = (0 . 692 m) (0 . 683 rev / s) 2 · parenleftbigg 2 π rad rev parenrightbigg 2 = 12 . 7441 m / s 2 . 006 (part 3 of 3) 10.0 points If the maximum tension the rope can with- stand before breaking is 140 N, what maxi- mum tangential speed can the ball have? Correct answer: 4 . 54013 m / s. Explanation: Let : T = 140 N . The tension supplies the centripetal accel- eration, so T = m v t 2 r v t = radicalbigg r T m = radicalBigg (0 . 692 m) (140 N) 4 . 7 kg = 4 . 54013 m / s . keywords: 007 10.0 points A horizontal disk with a radius of 9 m ro- tates about a vertical axis through its center.
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