The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pendulum 12 feet long has a period of 4 seconds, find the period of a pendulum 3 feet long.

Answer 1

Since the second pendulum is 1/4 as long as the first pendulum, the period will be sqrt(1/4) or 1/2 as long as the first pendulum. That would be 2 seconds.

Answer 2

4.(3)^1/2
6.92