Question

The period of a pendulum is the time the pendulum takes to swing back and forth. The function L=0.81t^2 relates the length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth. A convention center has a pendulum that is 110 feet long. Find the period.

Answer 1

11.73seconds

Explanation:

Given the expression of length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth modeled as;

L = 0.81t²

Given

Length of the pendulum = 110feet

Required

Time (period)

Substitute the given value into the formula

L = 0.81t²

110 = 0.8t²

t² = 110/0.8

t² =137.5

t = √137.5

t = 11.73seconds

Hence the period is 11.73seconds