Agrinding wheel is a uniform cylinder with a radius of 7.80 cm and a mass of 0.550 kg.

part a
calculate its moment of inertia about its center. express your answer to three significant figures and include the appropriate units.
part b
calculate the applied torque needed to accelerate it from rest to 1750 rpm in 7.40 s .

take into account a frictional torque that has been measured to slow down the wheel from 1500 rpm to rest in 58.0 s .