Chapter 14.3, Problem 88ES

Periods of Pendulums. The period T of a pendulum is the time it takes the pendulum to move from one side to the other and back. A formula for the period is

$T=2\pi \sqrt{\frac{L}{32}}$, where T is in seconds and L is the length of the pendulum, in feet. Use 3.14 for $\pi$.

A Foucault pendulum, shown here at the California Academy of Sciences, demonstrates the rotation of the earth. The pendulum knocks down pins at different positions as the earth rotates.

The pendulum of a grandfather clock is $\left(32\text{/}{\pi }^2\right)$ ft long. How long does it take to swing from one side to the other?