the free-fall acceleration on the surface of the moon is appromimately 1/6 of the free-fall acceleration on the surface of earth. compare the period of a pendumlum on earth with that of an identical pendulum set in motion on the moon
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On the moon, the period of a pendulum will be sqrt 6 = 2.45 times longer than a pendulum of the same length on Earth. That is because a pendulum's period is
2 pi sqrt (L/g)
where L is the length and g is the local acceleration of gravity.
2 pi sqrt (L/g)
where L is the length and g is the local acceleration of gravity.