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 290 N applied to its edge causes the wheel to have an angular acceleration of 0.814 rad/s2.What is the mass of the wheel?

The mass of the wheel is 2159.045 kg

Explanation:

Given:

Radius

m

Force N

Angular acceleration

From the formula of torque,

 Γ                                        (1)

 Γ                                       (2)

Find momentum of inertia from above equation,

Find the momentum inertia of disk,

Kg

Therefore, the mass of the wheel is 2159.045 kg