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trigonometry

A bicycle with 3-foot diameter wheels is traveling at 5 ft/sec. Find the angular speed of the wheels in radians per second.

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  1. circumf of wheel = 3π ft
    time for one rotation = 3π/5 seconds

    so we have 2π radians per 3π/5 seconds
    angular vel = 2π/(3π/5) rads/sec
    = 10/3 radians/sec

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