Physics: How many revolutions does it make during this time

During startup of a power plant, a turbine accelerates from rest at 0.47 rad/s^2.

How long does it take to reach its 3400 rpm operating speed? I got t= 760 s

I'm not sure how to find the revolutions?

3400/(60/(2pi)) = 356.047 rad/s

356.047/0.47 = 757.547 secs

Radians = (0 + 356.047)/2 x 757.547 = 134861.17

Revolutions = 134861.17/(2pi) = 21463.82