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Find the speed of a pendulum bob at the bottom of its swing if its initial displacement is 5 degrees and its period is 2 s.

  • Physics - ,

    The speed at the bottom of the swing is the maximum value. It is equal to (linear amplitude)*(angular velocity)
    = Vmax = L*sin5*(2*pi*f)

    You are going to need the length of the pendulum, L, to get the amplitude.

    f = 0.5 Hz = (1/(2 pi))*sqrt(g/L)
    sqrt(g/L) = 3.14
    g/L = 9.86 s^-1
    L = 0.994 m

    Vmax = 0.27 m/s

  • Physics - ,

    Thanks, I couldn't find an equation that derives the max velocity of the pendulum in my textbook.

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