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Math Help - The Motion Of a Pendulum

  1. #1
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    The Motion Of a Pendulum

    The motion of an pendulum can be modeled by the function
    f(t) = 10cos(2t) * 0.95^t, where f is the horizontal displacement from the rest position, in centimeters, as a function of time, t, in seconds. What is the length of the pendulum?

    I made two triangles, one with base 10 cm and another with base 8.48 because that is how far the pendulum travels when it returns. I couldn't figure out what to do from there. The answer in the back is 245 cm.
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  2. #2
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    The period is 10\pi

    So, using the formula T=2\pi\cdot\sqrt{\frac{L}{g}}

    solve for L.

    10\pi=2\pi\cdot\sqrt{\frac{L}{9.8}}
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