A 4.0 kg pulley of radius 0.15 m is pivoted about an axis through its center. What constant torque is required for the pulley to reach an angular speed of 25 rad/s after rotating 6.0 revolutions, starting from rest?

Question

What moment of inertia do I use to figure our the torque?

Answer 1

I would model the pulley as a flat disk.
http://hyperphysics.phy-astr.gsu.edu/hbase/tdisc.html
1/2 m r^2