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: 65

Answer

34

Work Step by Step

We first must find the period: $T= 2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{.25}{3.3}}=1.7\ s$ We now find the change in time: $e^{\frac{-bt}{2m}}=e^{-1} \\ \frac{-bt}{2m}=-1 \\ t = \frac{2m}{b}=\frac{2(.25)}{8.4\times10^{-3}}=59.52 \ s$ Thus, the number of oscillations is: $n =\frac{59.52}{1.7}\approx\fbox{34}$
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