## College Physics (4th Edition)

Published by McGraw-Hill Education

# Chapter 10 - Problems - Page 402: 91

#### Answer

The frequency of oscillation is $91~Hz$

#### Work Step by Step

When the web is displaced a distance $d = 0.030~mm$, the upward force by the web is equal in magnitude to the fly's weight. We can find an expression for the spring constant $k$: $kd = mg$ $k = \frac{mg}{d}$ We can find the frequency of oscillation: $f = \frac{\omega}{2\pi}$ $f = \frac{1}{2\pi}~\sqrt{\frac{k}{m}}$ $f = \frac{1}{2\pi}~\sqrt{\frac{mg}{md}}$ $f = \frac{1}{2\pi}~\sqrt{\frac{g}{d}}$ $f = \frac{1}{2\pi}~\sqrt{\frac{9.80~m/s^2}{0.030\times 10^{-3}~m}}$ $f = 91~Hz$ The frequency of oscillation is $91~Hz$

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