(a) What torque is required to bring this wheel from rest to a speed of 120 rpm in a time interval of 34.3 s?

(b) How much work is done during the 34.3 s?

Alright I figured out (a) using the moment of Inertia and the angular acceleration to be 26.65 N * m

So for part (b) I tried using W = torque * theta

to find theta i used many ways all coming up with right around 432 rad

so W = 26.65 * 432

= 11.5 kj

But this answer isn't correct any suggestions as to where i went wrong??