Physics Homework Help?

Question

How long must a simple pendulum be if it is to make exactly one swing per second? (That is, one complete oscillation takes exactly 2.0 seconds.)

Answer 1

The simple pendulum makes exactly one swing per second.

One complete oscillation takes .

Therefore, the time period is .

Find the length of the pendulum.

The time period of the simple pendulum is , where is the length of the pendulum and is acceleration due to gravity.

Substitute and in .

.

The length of the pendulum is .