In a cricket match, the bowler throws a ball towards the batsman. The ball starts to spin with 18.0 rev/s. The radius of the ball is 7.1cm. (a) Find the tangential speed of the outer periphery of the ball as it spins. (b) What is the centripetal acceleration of the cricket ball? (c) Let's consider, due to air friction, the spin of the ball decays at the rate of 0.6 rev/s2. Now find how long it will take for the ball to stop spinning and the total angle through which it will rotate during this time. (Consider the rate as constant).

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 11P: A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis....
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In a cricket match, the bowler throws a ball towards the batsman. The ball starts to spin with 18.0
rev/s. The radius of the ball is 7.1cm.
(a) Find the tangential speed of the outer periphery of the ball as it spins.
(b) What is the centripetal acceleration of the cricket ball?
(c) Let's consider, due to air friction, the spin of the ball decays at the rate of 0.6
rev/s2. Now find how long it will take for the ball to stop spinning and the total angle through
which it will rotate during this time. (Consider the rate as constant).
Transcribed Image Text:In a cricket match, the bowler throws a ball towards the batsman. The ball starts to spin with 18.0 rev/s. The radius of the ball is 7.1cm. (a) Find the tangential speed of the outer periphery of the ball as it spins. (b) What is the centripetal acceleration of the cricket ball? (c) Let's consider, due to air friction, the spin of the ball decays at the rate of 0.6 rev/s2. Now find how long it will take for the ball to stop spinning and the total angle through which it will rotate during this time. (Consider the rate as constant).
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