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The 2 pulleys in the figure have radii of 15 cm and 8 cm, respectively. The larger pulley rotates 25 times in 36 seconds find the angular velocity of each pulley in radians per second. Find angular velocity of each pulley in radians per second.

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confused

  1. 2π(15)/(2π(8)) = 1.875 or 15/8

    so for each rotation of the large pulley, the smaller rotates 1.875 times or 15/8 times.

    angular velocity of large one = 25(2π)/36 radians per second
    = 25π/18 rad/s

    angular velocity of smaller = (15/8)(25π/18) rad/s
    = 125π/48 rad/s

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    Reiny

  2. 4.36 rad/sec

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    harold

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