The period of a pendulum swing is given by the following equation: T = 2??(L/g), where L is the length of the pendulum, g is the gravitational constant, and T is the period. With this information, if an identical pendulum were swung on the Earth and the moon, where gravity is 1/8th that of Earth's, how much longer will the period of the pendulum swing on the moon be?
A)The same.
B)?4 times.
C)?6 times.
D)?8 times.
E)2?6 times.

Question

Quizplus · Accepted Answer

Looking at the equation, the only thing that is changing is g. We can eliminate 2? from the equation because it is a constant. Thus, T = ?(L/g). If we assume L is 1, then T = 1 on earth and ?8 on the moon, which is approximately 2.8. Thus, the period of the pendulum swing on the moon is 2.8 or ?8 times of that on earth.

The Period of a Pendulum Swing Is Given by the Following