Checking my answers

a disk of radius 10 cm speeds up from rest. it turns 60 radians reaching an angular velocity of 15 rad/s. what was the angular acceleration?
b. how long did it take the disk to reach this velocity?​
a) α = ?

(ω2)^2 = (ω1)^2 + 2α(theta)

15^{2}= 0^{2} + 2(α)(60)

225 = 120α

α = 1.875 rad/s^2



b)

α = (ω2-ω1)/t

t = (ω2-ω1)/α = (15-0)/1.875 = 8

t = 8 s

Is this correct if not correct me