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 280 N applied to its edge causes the wheel to have an angular acceleration of 0.824 rad/s?. (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 5.10 s have elapsed, assuming the force is acting during that time?

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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 280 N applied to its edge causes the wheel to have an angular
acceleration of 0.824 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 5.10 s have elapsed, assuming the force is acting during that time?
rad/s
Transcribed Image Text: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 280 N applied to its edge causes the wheel to have an angular acceleration of 0.824 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 5.10 s have elapsed, assuming the force is acting during that time? rad/s
Expert Solution
Step 1 The given data

Radius of cylinder r = 0.330 m

Tangential force F = 280 N

Angular acceleration α = 0.824 rad/s2

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