Essential University Physics: Volume 1 (3rd Edition)

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

Chapter 13 - Section 13.6 - Damped Harmonic Motion - Example: 13.6

Answer

8

Work Step by Step

We first find the time: $t = \frac{2m}{b}ln2= \frac{2\times 1200}{230}ln2= 7.23 s$ We now find the period: $T = 2\pi \sqrt{\frac{m}{k}}= 2\pi \sqrt{\frac{1200}{58 \times10^3 }}= .904s$ Thus: $=\frac{7.23s}{.904s}\approx \fbox{8}$
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