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 270 N applied to its edge causes the wheel to have an angular acceleration of 0.854 rad/s2.

Question

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 270 N applied to its edge causes the wheel to have an angular acceleration of 0.854 rad/s2.
(a) What is the moment of inertia of the wheel? 
 
 kg · m2

(b) What is the mass of the wheel? 
 
 kg

(c) If the wheel starts from rest, what is its angular velocity after 5.50 s have elapsed, assuming the force is acting during that time?
 
 rad/s

Chanz · Answer

a) τ = Iα solve for I b) Have to look up eq for moment of I for a solid cylinder. You have r and I c) ω = αt