An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is able to rotate the ball at the rate of 8.05 rev/s when the length of the chain is 0.600 m. When he increases the length to 0.900 m, he is able to rotate the ball only 6.29 rev/s. (a) Which rate of rotation gives the greater speed for the ball? 6.29 rev/s 8.05 rev/s (b) What is the centripetal acceleration of the ball at 8.05 rev/s? m/s2 (c) What is the centripetal acceleration at 6.29 rev/s? m/s2

An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is able to rotate the ball at the rate of 8.05 rev/s when the length of the chain is 0.600 m. When he increases the length to 0.900 m, he is able to rotate the ball only 6.29 rev/s. (a) Which rate of rotation gives the greater speed for the ball? 6.29 rev/s 8.05 rev/s (b) What is the centripetal acceleration of the ball at 8.05 rev/s? m/s2 (c) What is the centripetal acceleration at 6.29 rev/s? m/s2

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

Section: Chapter Questions

Problem 7OQ: A door in a hospital has a pneumatic closer that pulls the door shut such that the doorknob moves...

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

100%

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

6.29 rev/s

8.05 rev/s

(b) What is the centripetal acceleration of the ball at 8.05 rev/s?
m/s²

(c) What is the centripetal acceleration at 6.29 rev/s?
m/s²

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