There is a magic item in Dungeons & Dragons called The Baton of Many Sizes, which is a staff that can magically change lengths between 0.305 m (1 foot) long and 15.2 m (50 feet) long, though it always has a mass of 3.18 kg.
A) If a character spins the staff while it is 1.55 m long around its center by applying a force of 7.48 N that is 0.555 m from the center and perpendicular to the staff, as shown, what is its angular acceleration? Assume the moment of inertia of the staff is $\frac{1}{12}mL^2$ where L is the total length.
α =
B) If the person keeps up that constant angular acceleration, what is the staff's angular velocity after five complete revolutions? Assume it is starting from rest.