Question

The period of a pendulum is the time the pendulum takes to swing back and forth. The function relates the length L= 0.81t 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.

Answer 1

Answer: 111.11 seconds

Explanation:

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

The function relates the length
`L= 0.81t` in feet of a pendulum to the time t in seconds that it takes to swing back and forth.

If L= 90 feet then put this in the above function, we get

`90=0.81t\\\\\Rightarrow\ t=(90)/(0.81)\\\\\Rightarrow\ t=111.1111111\approx111.11\text{ seconds}`

Hence, the period = 111.11 seconds