Find angular velocity of a wheel

[bab5]

Homework Statement

There is a wheel (attached to an axel and the weight and the center of mass of both wheel and axel is known).

There is a defined constant force (F) acting on the wheels center of mass and the friction force is also known (the coefficient of friction and the normal force).

The question is:

Considering the known / defined forces (F and friction force) acting on the wheel, the mass of / on the wheel and the radius of the wheel as well as I (moment of inertia) of the wheel;

what will the wheels angular velocity be ?
or a nother wa of saying it, what will the wheels linear velocety be ?


Anyone know the answer

 

[nvn]

bab5: Assuming the wheel is a flat disk with frictionless bearings and a rolling resistance coefficient of zero, and assuming the wheel is on a horizontal surface, then the applied force F will produce a wheel and axle constant rectilinear acceleration of a = F/(m1 + 1.5*m2), if a < as, where m1 = axle mass associated with one wheel, m2 = mass of one wheel, as = acceleration above which wheel slippage will occur = 2*mu*g*(1 + m1/m2), and mu = static coefficient of friction between wheel and road. Wheel angular acceleration is alpha = a/r. Wheel and axle rectilinear velocity is v = vo + a*t, where vo = wheel and axle initial rectilinear velocity.