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 - Exercises - Page 261: 25

Answer

a). Angular speed =$\frac{\Delta \theta}{\Delta t}=\frac{0.61}{1.2}=0.5rad/s$ Tangential speed =$v=r\omega=0.41\times0.5=0.205m/s$ b). $\omega=0.5 rad/s$ Tangential speed =$r\omega=0.015\times0.5=0.0075m/s$ c). Both the pebble and the grease will have their angular velocities in the counter-clockwise direction.

Work Step by Step

a). Angular speed =$\frac{\Delta \theta}{\Delta t}=\frac{0.61}{1.2}=0.5rad/s$ Tangential speed =$v=r\omega=0.41\times0.5=0.205m/s$ b). $\omega=0.5 rad/s$ Tangential speed =$r\omega=0.015\times0.5=0.0075m/s$ c). Both the pebble and the grease will have their angular velocities in the counter-clockwise direction.
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