The object underwent an angular acceleration of approximately 13 rad/s².
initial angular velocity = 19.9 rad/s
over a time of 1.37s, angular velocity increases
new angular velocity = 37.7 rad/s
change = 37.7 rad/s - 19.9 rad/s
change = 17.8 rad/s
17.8 rad/s / 1.37s = 12.9927 radians
or approximately 13 radians per second acceleration
acceleration = 13 rad/s²