# Physics

At what rate will a pendulum clock run on the Moon, where the
acceleration due to gravity is 1.63 m/s2 , if it keeps time accurately on
Earth? That is, find the time (in hours) it takes the clock’s hour hand to
make one revolution on the Moon.

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1. The acceleration of gravity (g) is 9.81 m/s^2 on Earth and 1.63 m/s^2 on the moon. It is therefore higher on Earth by a factor of 6.02.

The period of a pendulum is
P = 2 pi sqrt(L/g)
Since you are using the same clock in both places, L stays the same and the period will be longer by a factor sqrt6.01 = 2.45 on the moon.

On Earth, a clock's hour hand takes 12 hours to make a complete revolution. Multiply that by 2.45 for the equivalent time on the moon.

In get 29.4 hours

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