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 140 feet long. Find the period

Answer 1

Answer: Period = 13.15 s

Answer 2

Answer: Period = 13.15 s

Solution:

The period of a pendulum is the time of pendulum takes to swing back and forth.

Function
`L=0.81t^2`

Where,

L is length of pendulum in feet

T is time of pendulum in seconds

We have to calculate the time of pendulum whose length is 140 feet.

So, we substitute L=140 into formula
`L=0.81t^2` and to solve for t

We get t,

`140=0.81t^2`

`t^2=(140)/(0.81)`

`t=√(172.84)`

`t=13.15`s

Period = 13.15 s