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The formula:

Here, ?ω = change in angular velocity = 40rad/sec

?t= time interval = 8 seconds

This gives: Angular acceleration, α = (40rad/sec)/ (8secs)

velocity of 21rad/sec is 3rad/sec

The formula:

Given instantaneous angular acceleration, α = 3rad/sec

dω = angular velocity at the particular instant = 21rad/sec

dt= time at that instant

This gives: 3 = (21rad/sec)/ (time) ==> time = 21/3 = 7secs.