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Angular acceleration is represented by alpha “α”. Its unit is rad/s^2.

α = dω/dt

α = (ωf – ωi)/(tf – ti)

Where,

ωf and ωi = final and initial angular velocity

tf and ti = final and initial time

ω = v/r

also ω = θ/t

where, v = linear velocity

r = radius of circular path

θ = rotated angle

Thus,

α = d^2θ/dt^2

Angular velocity = 28 rad/sec

Time = 4 Sec

So that, α = dω/dt

= 28/4 = 7 rad/s^2

Angular acceleration = 25 rad/s^2

Time = 5 sec

Now, we have

α = dω/dt

dω = αdt = 25 x 5 = 125 rad/sec