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Angular velovity (flywheel)

  1. Feb 8, 2012 #1
    1. The problem statement, all variables and given/known data

    If we only know the force Fr, Find the angular velocity of the flywheel.

    2. Relevant equations




    3. The attempt at a solution

    in the pulleys

    F=F1=F2=F3
    Fr=(F Sin β)/sin (β/2)=2F cos (β/2)
    F = (2 cos (β/2))/Fr

    so now for the flywheel

    I=1/2 MR2 .................. M=mass R=Radius
    τ=RF and τ=Iα ................. τ = torque α = angular acceleration

    so

    α = 2F / MR

    could you tell me if I'm right ?? and how can I can find the angular velocity.??
    thank so much for your help :smile:
     
    Last edited: Feb 9, 2012
  2. jcsd
  3. Feb 8, 2012 #2

    gneill

    User Avatar

    Staff: Mentor

    Your angular acceleration looks okay.

    How does one normally find velocity given acceleration? Remember that the kinematic equations that apply to linear motion have direct parallels in angular motion.
     
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