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assume a pulley has a radius of 12.96 cm. If it takes 18 seconds for 56 cm of belt to go around the pulley, find the angular velocity in radians per seconds

  • Trig -

    Circumference = 2(pi)12.96 = 81.43

    so 18/56 = x/81.43
    x= 18(81.43)/56
    26.17 sec for 1 rotation of the wheel

    so the angular velocity = 2pi/26.17
    or .24 radians/second

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