College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 7 - Circular Motion and Gravitation - Learning Path Questions and Exercises - Conceptual Questions - Page 259: 15

Answer

$a_{c}=\frac{v^{2}}{r}=\omega^{2}r$ and $a_{t}=r\times$ angular acceleration. Change in $a_{t}$ means change in angular acceleration which implies change in $\omega$ hence change in $a_{c}$. So, centripetal acceleration must change, considering the radius to be constant.

Work Step by Step

$a_{c}=\frac{v^{2}}{r}=\omega^{2}r$ and $a_{t}=r\times$ angular acceleration. Change in $a_{t}$ means change in angular acceleration which implies change in $\omega$ hence change in $a_{c}$. So, centripetal acceleration must change, considering the radius to be constant.
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