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 250 N applied to its edge causes the wheel to have an angular acceleration of 0.940 rad/s2. What is the mass of the wheel?

The mass of the solid cylinder is

Explanation:

From the question we are told that

   The radius of the grinding wheel is

   The  tangential force is

    The angular acceleration is  

The torque experienced by the wheel is mathematically represented as

Where  I  is the moment of inertia

The torque experienced by the wheel can also be  mathematically represented as

substituting values

So

So

This moment of inertia can be mathematically evaluated as

substituting values

=>  

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