heres the problem: A wheel starts from rest and accelerates such that it's angular velocity increases uniformly to 200rpm in 6s. After it has been rotating for some time at this speed, brakes are applied stopping the wheel in 5 min. The total number of revolutions of the wheel is 3100. what is the total time of rotation?

i have no idea where to start here since the angular velocity isn't constant the whole time. thanks.