A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is fre

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Science

Question Description

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 230 N applied to its edge causes the wheel to have an angular acceleration of 0.818 rad/s2

(a) What is the moment of inertia of the wheel? 
  kg · m2 

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

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Explanation & Answer

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F = maT

230 = 23.44aT

aT= 230/23.44

aT= 9.8122 m/s^2

angular acceleration = aT/r

                                 = 9.8122/0.330

                                 = 29.7342 rad/s^2

angular acceleration = (final angular velocity- initial angular velocity)/ time

29.7342= (final angular velocity- 0)/ 5.10

final angular velocity = 29.3742*5.10

final angular velocity = 151.6444 rad/s

Please let me know if you need any clarification. I'm always happy to answer your questions.

Nufna A. (560)
Cornell University

Anonymous
Just what I was looking for! Super helpful.

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