Essential University Physics: Volume 1 (4th Edition) Clone

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 13 - Exercises and Problems - Page 245: 17

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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