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10 August, 09:28

On the planet Xenophous a 1.00 m long pendulum on a clock has a period of 1.32 s. What is the free fall acceleration on Xenophous?

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  1. 10 August, 13:28
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    The period of the pendulum is given by the following equation

    T = 2 π * sqrt (L/g)

    Where g is the gravity (free fall acceleration)

    L is the longitude of the pendulum

    T is the period.

    We find g ... > (T / 2 π) ^ 2 = L/g

    g = L / (T / 2π) ^2 ... > g = 22.657 m/s^2
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