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AHHHHHH Help!! Mass on string of unknown length oscillates witha period of 6.0s What if string length is doubled? amplitude dbl?

  • physics -

    Amplitude does not affect period if the oscillations are small (less than about 30 degrees).

    If the approximation theta = sin theta is made, the period becomes

    P = 2 pi sqrt(L/g)

    What happens if you double L?

    Period is sqrt2 times larger.

    I don't think they expect you to know the exact formula for the period of a pendulum for large angle osciallations. It requires an infinite series. If you need to know it, and how to derive it, I can give you a reference.

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