The combination of an applied force and a constant frictional force produces a constant total torque of 36.8 N·m on a wheel rotating about a fixed axis. The applied force acts for 5.92 s. During this time the angular speed of the wheel increases from 0 to 10.2 rad/s. The applied force is then removed, and the wheel comes to rest in 59.5 s.
a)find the moment of inertia
b)find the magnitude of the frictional torque
torque=(inertia) (angular acceleration)
angular acceleration=change in angular speed/change in time
The Attempt at a Solution
for (a) I know what I have to do but for some reason I can't figure it out. I set the torque (36.8 N m) equal to the product of the moment of inertia the angular acceleration. however, I'm just stuck on finding the angular acceleration. Do I use an equation for constant angular acceleration? (e.g. omega(final)=omega(initial) + (angular acceleration)(time)) or do I have to integrate it? If so, how?