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20 September, 17:34

How long must a simple pendulum be if it is to make exactly one swing per three seconds? (that is, one complete oscillation takes exactly 6.0 s.) ?

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  1. 20 September, 17:43
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    This is a physics question.

    Use the formula for simple pendulum:

    T = 2π √ (L/g)

    Where T is the period (time to complete a full oscilation), L is the lenght and g acceleration of gravity ≈ 9.81 m/s^2.

    So, solve for l:

    √ (L/g) = T / (2π)

    L = [T / (2π) ] ^2 * g = [ 6.0s / (2π) ]^2 * 9.81 m/s^2 = 8.9 m

    Answer: 8.9 m
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