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6 March, 01:24

The period T (in seconds) of a pendulum is given by T=2/pi / sqrt ((L) / (32)), where L stands for the length (in feet) of the pendulum. If / pi = 3.14, and the period is 1.57 seconds, what is the length?

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  1. 6 March, 01:25
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    The first thing we must do in this case is to rewrite the equation correctly:

    T = 2 * pi * root (l / 32)

    From here, we clear l:

    T / (2 * pi) = root (l / 32)

    l / 32 = (T / (2 * pi)) ^ 2

    l = 32 * (T / (2 * pi)) ^ 2

    Substituting values:

    l = 32 * (1.57 / (2 * 3.14)) ^ 2

    l = 2 feet

    Answer:

    the length is:

    l = 2 feet
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