00:01
Okay, in this problem we have a wheel with an initial angular speed of 12 radians per second.
00:09
And it goes through an angle of 60 radians.
00:17
And then it comes to a stop.
00:18
So that means our final angular speed is 0 radians per second.
00:24
And we want to, in the first part, we want to find the angular acceleration.
00:27
So we can use the equation omega final squared equals omega initial squared plus 2 times alpha, which is the angular acceleration, times the angle.
00:39
And we're just solving for alpha, so we're subtracting omega initial squared to the other side and dividing by 2 theta.
00:48
And that's going to give us alpha equals omega final squared minus omega initial squared over 2 times the angle.
00:58
So now we're just going to plug in the values that we have here...