Answer :

Given data –


Acceleration, = 4 rad/s2


Here, three situations come –


1.Intially for 10 seconds uniform acceleration


2.Next, uniform rotation without acceleration for 10 seconds


3. last uniform deceleration for 10 seconds.


Also, the rotation in first and third case remains same.


Hence, total angle of rotation becomes –




Using the second equation of kinematics.



Where,


θ = total angle rotated


= initial angular velocity


t = time period


=angular acceleration


Substituting the values –




radians


We know, angular velocity is related to as-




radians


Hence, the total angle of rotation becomes-


θTotal =400+200+200 = 800radians


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