Hey everyone! I hope I can get some help! The question is...
I have a flywheel with an I = 2.8 slugs-ft^2 that needs to spin to 11,300 RPM in about 5 minutes. I need a motor to do this. what horsepower is needed?

I got roughly 764HP using these equations,
HP = (torque x RPM)/5252
Torque = I x a
w = w0 + at; w0 = 0

and I converted RPM to Rads/Sec^2 for the angular acceleration

I just want to make sure and check to see if I used the right units and such. Thank you!!

P.S. This is not for school or related school activities. I am a new engineer and just need some help! Still so much to learn!