Physics

posted by Cindy

An automobile with 0.80-m diameter wheel starts from rest and accelerates uniformly to 22 m/s in 0.7 s. Through how many revolutions does the front wheel turn during this period?

  1. Damon

    r = .4 m
    v = w r = 22
    so w final = 22/.4 = 55 radians/second

    alpha = 55/.7 = 78.6 radians/s^2

    angle = (1/2) a t^2
    = .5(78.6)(.49) = 19.25 radians
    19.25/(2 pi) = 3.05 revolutions

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