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Math Help - application 2

  1. #1
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    application 2

    problem: A tersional pendulum is made by suspending a horizontal uniform metal disk by a wire from its center. If the disk is rotated and then released, it will execute simple(angular) harmonic motion. Suppose at t seconds the angular displacement of radians from the initial position is given by the equation = 0.2 cos [(pi)(t - 0.5)]. Determine, to the nearest tenth of a radian per second, how fast the angle is changing at 3.1 seconds.


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  2. #2
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    Quote Originally Posted by cazimi View Post
    problem: A tersional pendulum is made by suspending a horizontal uniform metal disk by a wire from its center. If the disk is rotated and then released, it will execute simple(angular) harmonic motion. Suppose at t seconds the angular displacement of radians from the initial position is given by the equation = 0.2 cos [(pi)(t - 0.5)]. Determine, to the nearest tenth of a radian per second, how fast the angle is changing at 3.1 seconds.


    phi = cos(pi(t-0.5))

    d phi/dt = -pi sin(pi(t-0.5))

    so at t= 3.1:

    d phi/dt = -pi sin(pi(2.6)) ~= -2.988 radians/s ~= -3.0 radians/s

    RonL
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