Chapter 4.8, Problem 49E

To determine

Find the length of sides of a regular hexagon inscribed in a circle of radius 25 inches.

Answer to Problem 49E

The length of sides of a hexagon inscribed in a circle is also 25 inches.

Explanation of Solution

Given:

Let’s consider a tuning fork that moves in a simple harmonic motion described by $d=a\sin \omega t$

The frequency of the tuning fork is 264 vibrations per seconds.

In general, the frequency $f$ of an object in a simple harmonic motion is given by

  $f=\frac{\omega }{2\pi }$

Therefore,

  $\begin{array}{cc}264& =\frac{\omega }{2\pi }\\ \omega & =264\times 2\pi \\ & =528\pi \end{array}$