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The S.I unit of angular acceleration is given rad/s^2.

α = dω/dt

and α = d^2θ/dt^2

Where, ω = angular acceleration

t = time taken

θ = rotated angle

We are using frequency also to relate the revolution to the angular velocity.

Frequency = revolution/time

And ω = 2? f

Here, f is frequency.

Also linear velocity, v = rω

And linear acceleration, a = v^2/r

Radius = 2.8/2 = 1.4 m

Initial Frequency, f1 = 1800 rev/min = 1800/60 = 30 rev/sec

So, ω = 2?f = 2x3.14x30 = 188.4 rad/s

And final frequency, f2 = 1200 rev/min = 1200/60 = 20 rev/sec

So, ω = 2?f = 2x3.14x20 = 125.7 rad/s

Hence, angular acceleration, α = (125.7 – 188.4)/40 = 1.56 rad/s^2

Find linear

Frequency, f = 1200/60 = 20 rev/sec

So, ω = 2?f = 2x3.14x20 = 125.7 rad/sec

Linear velocity, v = rω = (600/2) x 0.001 x 125.7 = 37.71 m/s

Acceleration, a = v^2/r = 4740 m/s^2