5.7 Exercise 87

Determine the function described and then use it to answer the question.

The period $T ,$ in seconds, of a simple pendulum as a function of its length $l ,$ in feet, is given by $T \left(l\right) = 2 \pi \sqrt{\frac{l}{32.2}}$ . Express $l$ as a function of $T$ and determine the length of a pendulum with period of 2 seconds.