Question

The period of a pendulum is the time the pendulum

Answer 1

The period of the pendulum is 11.11 seconds.

Step-by-step explanation

From the given equation,

L= 0.81t² -----------------------------------------(1)

But L= 100 feet

Substitute the value of L into equation (1)

That is;

100 = 0.81t²

Divide both-side of the equation by 0.81

`\frac{\cancel{0.81}t^2}{\cancel{0.81}}=(100)/(0.81)`

`t^2=123.45679`

Take the square root of both-side of the equation.

`t\approx11.11`

T= 11.11 seconds.

Hence, the period of the pendulum is 11.11 seconds.