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: 23

Answer

$f=0.59Hz$ $T=1.7s$

Work Step by Step

The required frequency can be determined as $f=\frac{1}{2\pi}\sqrt{\frac{K}{m}}$ We plug in the known values to obtain: $f=\frac{1}{2\pi}\sqrt{\frac{26000}{1900}}$ $\implies f=0.59Hz$ Now, we can find the time period as: $T=\frac{1}{f}$ $\implies T=\frac{1}{0.59}$ $T=1.7s$
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