i had time, so here is a quick demo.
The left fan is moving at the speed that you provided, 360c per second, or 60RPM
while the one on the right is moving at 2400rpm
With a high shutter, you get the blur effect on the fan, however, everything else also gets blurry. You also dont see a big difference between the 60rpm fan, and the 2400rpm fan
however, if we turn the shutter waay down, you can see there is almost no blur on the frames, and the slow moving fan moves so slowly that the blur barely has any effect. While the 2400rpm fan is moving quick enough to benefit from the blur.
I strongly suggest you do some research on how to do proper motion blur in blender though, as i encountered some problems even with this simple demo. I solved it by just using a high motion sample, which works fine cause its a .5sec render time but if you do that, you may experience a x10 times longer render time.
Perhaps someone who’s played around with motion blur before can help you out, i’ve never used it before. I just know how motion blur works from a cameras point of view.