Question

A swinging pendulum has period Ton Earth. If the same pendulum were moved to the Moon, how does the new period compare to the old period? A) period increases B) period does not change C) period decreases

please explain why

Answer 1

Answer 2

The period of a pendulum is the time it takes for one complete oscillation, typically measured from one extreme point to another and back. The period of a pendulum is determined by its length and the acceleration due to gravity.

On Earth, the acceleration due to gravity is higher compared to the Moon. Therefore, if the same pendulum were moved to the Moon, where the acceleration due to gravity is lower, the new period would increase.

This can be explained by the equation for the period of a pendulum, which is given by:

T = 2π * √(L/g)

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

Since g is smaller on the Moon compared to Earth, the term √(L/g) becomes larger, resulting in a longer period. Hence, the correct answer is A) period increases.