imagine that you could transport a simple pendulum from earth to another planet or moon, where the free-fall acceleration is one-fifth that

Question

imagine that you could transport a simple pendulum from earth to another planet or moon, where the free-fall acceleration is one-fifth that on Earth. By what factor would the pendulum’s frequency be changed

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Nho 5 years 2021-08-22T03:37:47+00:00 1 Answers 53 views 0

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  1. dangkhoa
    0
    2021-08-22T03:39:23+00:00
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    Answer:

    Explanation:

    Acceleration due to gravity on the other planet = g/5

    where, g is the acceleration due to gravity on the earth.

    The frequency of the simple pendulum on earth is given by

    f \alpha \sqrt{g}    …. (1)

    the frequency on the other planet is given by

    f' \alpha \sqrt{g'}  …. (2)

    Divide equation (2) by (1)

    \frac{f'}{f} \alpha \sqrt{\frac{g'}{g}}

    \frac{f'}{f} \alpha \sqrt{\frac{g}{5g}}

    f’ = 0.44 f

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