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.
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
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
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