Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 10 - Rotational Kinematics and Energy - Problems and Conceptual Exercises - Page 329: 94

Answer

$0.20\frac{m}{s}$

Work Step by Step

We know that $\omega=\frac{\Delta \theta}{\Delta t}$ $\omega=\frac{\Delta \theta}{\sqrt{\frac{2y_{\circ}}{g}}}$ We also know that $v=r\omega$ $\implies v=r\frac{\Delta \theta}{\sqrt{\frac{2y_{\circ}}{g}}}$ We plug in the known values to obtain: $v=(0.032)\frac{0.37\times 2\pi}{2(0.66)(9.81)}=0.20\frac{m}{s}$
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