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An electric grinding wheel of radius 0.50 m is initially at rest. When the motor is turned on at time t1=0s, it then applies a tangential force on the rim of the wheel to make it rotate about its axis. The rotational inertia of the wheel is I=4.25 kg m^2. At time t2=2.10s the wheel has accelerated uniformly to an angular speed of 35 rad/s. Following this the wheel rotates at a constant angular speed.

A) What is the angular acceleration of the wheel during the first 2.1s of its motion?

B) What is the total angular displacement of the wheel at time t3= 3.5s after it was turned on?

C) What is the tangential speed of the rim of the wheel at time t4= 4.00s?

D) What torque did the electric motor apply to the wheel as it was accelerating the wheel?

E) What is the rotational kinetic energy of the wheel at time t5= 1.50s?

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