Physics

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A merry-go-round accelerates from est at .870 rad/sec^2. When the merry-go-round has made 4 complete revolutions, how much time has elapsed since the merry-go round started?

What is the angular velocity of the merry-go round?


Could someone help, please

  • Physics -

    a = angular acceleration
    w = a t = angular velocity
    theta = (1/2) a t^2 = radians turned total from rest
    in this case thetas = 2pi * 4 = 8 pi radians
    so
    (1/2) a t^2 = 8 pi
    you know a, get t and then w

  • Physics -

    to double check , the correct answer for time is 7.60 sec? and w is 6.61 rad/s?

  • Physics -

    (.87/2)t^2 = 8 pi
    t = 7.599 yes 7.6
    w = .87*7.6 = 6.61 yes

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