Dear Bambila,
This is not a problem related to weight but to inertia.
If bearing friction is neglected, the momentum equation is like this: Torque = moment of inertia (shaft + disc) * angular acceleration
So the torque you have to apply, in an ideal situation, when the shaft is rotating at costant velocity (whatever its value may be), is ZERO. This is because the torque is needed to accelerate the shaft till it reaches full speed. The only thing you have to know is the acceleration needed to reach that speed. Since torque is known, you can easily calculate inertia and then the disk thickness.
The problem is obviously more complicated if a braking torque is needed to keep the shaft at costant velocity.
Regards,
Stefano