I didn't know what a Geneva mechanism was before this thread.
5.04 rad/s is < 60 rotations per minute.
2 pi rad/s is 1 rotation/second = 60 rpm, so I don't know where you got 2888 rpm.
A bigger problem is that the continuously rotating wheel accelerates the slotted wheel for the first 0.25 seconds, but decelerates it in the next 0.25 seconds, and it will probably get most of the kinetic energy from the first 0.25 seconds back. The continuously moving wheel will than have the time that the slotted wheel is stationary to get back to its origional speed.