A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 200 N applied to its edge causes the wheel to have an angular acceleration of 1.048 rad/s2.
(a) What is the moment of inertia of the wheel? HINT: Remember that there are two equations for torque. τ = r Fsinθ and τ = I α.
kg·m2
(b) What is the mass of the wheel? HINT: You will need to refer to the specific formula that determines the moment of inertia for a solid disk, or solid cylinder, in terms of its mass and radius.
kg
(c) If the wheel starts from rest, what is its angular velocity after 4.40 s have elapsed, assuming the force is acting during that time? HINT: You will want to use the equations for uniform angular acceleration.
rad/s