Answer
$P=\frac{\pi}{4}$ seconds
$T=\frac{4}{\pi}$ oscillations/second
Work Step by Step
Since we know that the length is 0.5 ft, we can use the following formula to find the period P:
$P=2\pi\sqrt {\frac{L}{32}}$
$P=2\pi\sqrt {\frac{0.5}{32}}$
$P=2\pi\sqrt {\frac{1}{64}}$
$P=2\pi(\frac{1}{8})$
$P=\frac{\pi}{4}$ seconds
The frequency T is a reciprocal of period P. Therefore,
$T=\frac{1}{P}=\frac{1}{\frac{\pi}{4}}=\frac{4}{\pi}$ oscillations/second
