Finding Angular Velocity from Known Angular Acceleration

[The-alexandra]

Homework Statement

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

Homework Equations

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

 

[gneill]

Homework Statement

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

Homework Equations

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

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.