angular acceleration = change in angular velocity / time
given accelerated from rest ,so initial angular velocity = 0 rad/sec
given final RPM
therfore final angular velocity =( 2*pi *RPM) / 60
= (2*3.14*21000) / 60 = 2198 rad/sec
given time 3 min 30 sec = 3*60 + 30 sec = 210 sec
angular acceleration = (2198 - 0) / 210 = 10.4667 rad/sec2