College Physics
3rd Edition
ISBN: 9780134143323
Author: Knight, Randall Dewey, Jones, Brian, Field, Stuart
Publisher: Pearson,
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Chapter 6, Problem 1CQ
To determine
Whether the statement “Since the cyclist's speed is constant, her acceleration is zero." for a circular motion is correct.
Expert Solution & Answer
Answer to Problem 1CQ
The given statement is not correct because the velocity of the cyclist is changing continuously.
Explanation of Solution
Acceleration of a body is the rate at which the velocity of the object changes with time.
In a circular motion, though the speed of the cyclist is constant, the velocity vector of the cyclist is always changing, due to a change in the direction of the motion of the cyclist.
Since, the direction of motion of cyclist changes, there will be a change in the velocity of the cyclist and thereby a change in velocity induced an acceleration of the cyclist.
Therefore, the given statement is not correct because the velocity of the cyclist is changing continuously.
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