How Do You Calculate Angular Acceleration of a Cylinder?

[sheri1987]

Homework Statement

M, a solid cylinder (M=1.67 kg, R=0.137 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.670 kg mass, i.e., F = 6.573 N. Calculate the angular acceleration of the cylinder.

Homework Equations

F*R ?
ang accel. = alpha*R

The Attempt at a Solution

I multiplied Force*Radius, cause someone told me to start with that, but I'm not sure what to do next?

 

[rl.bhat]

F*R = Torque = I*alpha. where I is the moment of inertia of the solid cylinder=MR^2/2