The flywheel of a drill machine uniformly rotates from 280r/min to 50 r/min in 2 seconds .

Calculate the angular retardation of the flywheel

well, it changed by -230 r/min in 2s

So that would make the acceleration (-230 r/m)/(2s) = -115r/m/s
chances are you will want either r/m^2 or r/s^2 so multiply by the desired conversion ratio