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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 90 feet long. Find the period.

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musiclover10045

The given formula is L = 0.81T^2

Where L is the length and t is the time in seconds.

You are given the length of 90 feet.

Replace L with 90 and solve for t:


90 = 0.81t^2

Divide both sides by 0.81"

111.11 = t^2

Take the square root of both sides:

t = √111.11

t = 10.54 seconds.


Round answer as needed.