Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 13 - Exercises and Problems: 26

Answer

(a) $\omega=19\frac{rad}{s}$ (b) $T=0.33s$ (c) $a_{max}=92\frac{m}{s^2}$

Work Step by Step

(a) The angular frequency is given as $\omega=\frac{v_{max}}{A}$ We plug in the known values to obtain: $\omega=\frac{4.8}{0.25}$ $\omega=19\frac{rad}{s}$ (b) The time period can be calculated as $T=\frac{2\pi}{T}$ $\implies T=\frac{2(3.1416)}{19.2}$ $T=0.33s$ (c) The maximum acceleration is given as $a_{max}=v_{max}\omega$ $\implies a_{max}=(4.8)(19)$ $a_{max}=92\frac{m}{s^2}$
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