The period T (in seconds) of a pendulum is given by T=2\pi \sqrt((L)/(32)), where L stands for the length (in feet) of the pendulum. If \pi =3.14, and the period is 1.57 seconds, what is the length?
Accepted Solution
A:
The first thing we must do in this case is to rewrite the equation correctly: T = 2 * pi * root (l / 32) From here, we clear l: T / (2 * pi) = root (l / 32) l / 32 = (T / (2 * pi)) ^ 2 l = 32 * (T / (2 * pi)) ^ 2 Substituting values: l = 32 * (1.57 / (2 * 3.14)) ^ 2 l = 2 feet Answer: the length is: l = 2 feet