An engineer designs a system to increase the rotational speed of a flywheel (large disk). The flywheel has a 70.0 cm radius and a moment of inertia equal to 5.40 kg·m2. In one experiment, the flywheel begins (t = 0 s) from rest, and a 80.0 N·m torque is applied to it.
(a) What is the angular acceleration of the flywheel during the time it speeds up.
(b) What is the angular velocity of the flywheel, in rpm (revolutions per minute), at Δt = 10 s? (c) What is the speed of a point on the outside edge of the flywheel at Δt = 10 s?
(d) How far has a point on the outside edge of the flywheel traveled in the first 10 s?
(e) What is the translational (linear) acceleration vector at Δt = 10 s?