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16 August, 06:48

A girl with a mass of 40 kg is swinging from a rope with a length of 2.5 m. What is the frequency of her swinging?

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  1. 16 August, 08:43
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    For a pendulum with a massless rope 'L' meters long, swinging through

    a small arc, the period of the swing is

    2 π √ (L/g) seconds.

    and it doesn't depend on the mass of the thing on the end of the rope ...

    that could be a pebble or a bus.

    For the girl on the 2.5-m rope,

    Period = (2 π) √ (2.5 / 9.8) = 3.17 seconds

    Frequency = 1 / period = about 0.315 Hz.
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