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March 30, 2017

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A centrifuge takes 1 minute to turn through 20 complete revolutions before reaching it's final speed. What is the angular acceleration (assumed constant) and what was it's final angular speed in rpm? How do I solve this without knowing the radius of the centrifuge?

  • physics - ,

    Let angular acceleration = alpha
    (1/2)*(alpha)*t^2 = 20*2 pi
    = 40*pi radians

    alpha = 80*pi/60^2 = 0.06981 rad/s^2

    Final angular speed = alpha*t = 4.19 rad/s
    OR
    = 2*(average angular speed)
    = 2*(40 pi/60)= (4/3)*pi
    (same answer)

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