Uniform Circular Motion. An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete can rotate the ball at the rate of 8.00 rev/s when the length of the chain is 0.600 m. When he increases length of 0.900 m, he can rotate the ball only 6.00 rev/s. (a) Which rate of rotation gives the greatest speed for the ball? (b) What is the centripetal acceleration of the ball at 8.00 rev/s? (c) What is the centripetal acceleration of the ball at 6.00 rev/s?

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
Chapter5: More Applications Of Newton’s Laws
Section5.3: Nonuniform Circular Motion
Problem 5.5QQ: Which of the following is impossible for a car moving in a circular path? Assume that the car is...
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Motion in two Dimensions

Uniform Circular Motion. An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete can rotate the ball at the rate of 8.00 rev/s when the length of the chain is 0.600 m. When he increases length of 0.900 m, he can rotate the ball only 6.00 rev/s.

(a) Which rate of rotation gives the greatest speed for the ball?

(b) What is the centripetal acceleration of the ball at 8.00 rev/s?

(c) What is the centripetal acceleration of the ball at 6.00 rev/s?

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