You need to divide this problem into two parts first part is when it was accelerating.. that time use the equation of motion and calculate what is the total angle covered and hence you get the number of revolutions then find the time of acceleration..so you ll understand for how much did you do the above calculation for the rest of the time, the speed is constant (final angular speed).. so now you just use w= theta/ time.. and get theta and again calculate the number of revolutions!
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