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A dragster starts from rest and accelerates down a track. Each tire has a radius of 0.320 m and rolls without slipping. At a distance of 382 m, the angular speed of the wheels is 255 rad/s. Determine (a) the linear speed of the dragster and (b) the magnitude of the angular acceleration of its wheels.

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megann

  1. V = omega r = 255 (.320)

    382 = (1/2)V t
    because distance = average speed time time if a is constant

    solve that for t
    t = 764 / V

    382 = (1/2) a t^2
    solve for a, LINEAR aceleration

    alpha = angular acceleration = a/r

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    Damon

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