Answer
$$
2.2 \mathrm{Hz}
$$
Work Step by Step
Since $\omega=2 \pi f,$ and $x_{m}=0.050 \mathrm{m}$ is given, we find
$$
(2 \pi f)^{2} x_{m}=g \Rightarrow f=\frac{1}{2 \pi} \sqrt{\frac{g}{x_{m}}}=2.2 \mathrm{Hz}
$$
Fundamentals of Physics Extended (10th Edition)
by Halliday, David; Resnick, Robert; Walker, Jearl
Published by
Wiley
ISBN 10:
1-11823-072-8
ISBN 13:
978-1-11823-072-5
Chapter 15 - Oscillations - Problems - Page 436: 19b
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