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Math Help - Angular Velocity of Pulleys

  1. #1
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    Angular Velocity of Pulleys

    Two pulleys are connected by a belt. The larger pulley has a radius of 15 cm and the smaller pulley has a radius of 8 cm. The larger pulley rotates 25 times in 36 seconds. Find the angular velocity of each pulley in radians per second.

    for the larger one i put 50π radians/36 seconds = 25π/18 radians per second
    how do i calculate the angular velocity of the smaller pulley?
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  2. #2
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    Since the belt is continuous, the linear velocity of the belt on both the pulleys is the same.
    But v = rω.
    So r1ω1 = r2ω2.
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  3. #3
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    Quote Originally Posted by sa-ri-ga-ma View Post
    Since the belt is continuous, the linear velocity of the belt on both the pulleys is the same.
    But v = rω.
    So r1ω1 = r2ω2.
    my question is angular velocity
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  4. #4
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    Quote Originally Posted by somanyquestions View Post
    my question is angular velocity
    ω is the angular velocity and is equal to 2*π*n, where n is the number of rotation per second
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