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2 October, 14:16

You have two pendulums with cords that are exactly the same length. one is on earth (with an acceleration due to gravity of 9.81 meters/second2) and the other one is on the moon (with an acceleration due to gravity of 1.63 meters/second2). which one will have a longer period?

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  1. 2 October, 16:55
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    From T = 2π√ (l/g).

    Since the lengths are the same, so that is a constant.

    T α 1/√g

    So the period T is inversely proportional to the square root of gravity g.

    So the one with a bigger gravity g would have a shorter period

    and

    the one with smaller gravity g would have a longer period.

    Therefore the period on the Moon with gravity of 1.63 m/s² would be longer period than that on the Earth with gravity of 9.81 m/s²
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