Inverses and Radical Functions · Exercise 71

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.

OpenStax, Algebra and Trigonometry 2e · §5.7 Inverses and Radical Functions · Exercise 71