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March 25, 2017

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A centrifuge takes 100 s to spin up from rest to its final angular speed with constant angular acceleration. If a point located 8.00 cm from the axis of rotation of the centrifuge moves with a speed of 150 m/s when the centrifuge is at full speed, how many revolutions does the centrifuge make as it goes from rest to its final angular speed?

  • Physics - ,

    v=rω
    =>
    150 m/s = 0.08m*ω
    θ=150/0.08=1875 rad/s
    Average ω=1875/2=937.5 rad/s
    Number of revolutions
    =937.5 rad/s *100s /(2π rad/rev)
    =93750/2π
    =14921 rev. approx.

    Check my arithmetic.

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