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

Physics
Tutor: None Selected Time limit: 1 Day

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 ยท 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

Jun 11th, 2015

Thank you for the opportunity to help you with your question!

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.
Jun 11th, 2015

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