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Posted by on Monday, November 26, 2012 at 10:09pm.

A 2.50 kg wheel has a diameter of 20.0 cm and is rotating at 3600 rpm. A force acts on it causing it to come to a rest in 10.0 seconds. What is the magnitude of the force?

  • Physics - , Tuesday, November 27, 2012 at 9:26am

    m=2.5 kg. R=D/2=0.1 m,
    n₀=3600 rpm=3600/60=60 rev/s
    t=10 s. F=?
    2πn=2πn₀-εt.
    Final n=0
    2πn₀ = εt.
    ε =2πn₀/t.
    Newton’s 2 law for rotation:
    Iε=M.
    If the wheel is disc I=mR²/2,
    M=FR.
    Then
    (mR²/2) •(2πn₀/t)=F•R
    F=mRπn₀/t=2.5•0.1•3.14•60/10 = 4.71 N

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