A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children swings from this rope that is 6.10 m long, his tangential speed at the bottom of the swing is 7.05 m/s. (a) What is the centripetal acceleration, in m/s?, of the child at the bottom of the swing?

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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A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children
swings from this rope that is 6.10 m long, his tangential speed at the bottom of the swing is 7.05 m/s.
(a) What is the centripetal acceleration, in m/s?, of the child at the bottom of the swing?
Consider the relationship between angular speed, tangential speed, and centripetal acceleration. m/s?
Transcribed Image Text:A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children swings from this rope that is 6.10 m long, his tangential speed at the bottom of the swing is 7.05 m/s. (a) What is the centripetal acceleration, in m/s?, of the child at the bottom of the swing? Consider the relationship between angular speed, tangential speed, and centripetal acceleration. m/s?
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