This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 4.72 x 10^6 kg and length

[answerhappygod]

This time we have a non-rotating space station in the shape of a
long thin uniform rod of mass 4.72 x 10^6 kg and length 1491
meters. Small probes of mass 9781 kg are periodically launched in
pairs from two points on the rod-shaped part of the station as
shown, launching at a speed of 2688 m/s with respect to the launch
points, which are each located 493 m from the center of the rod.
After 11 pairs of probes have launched, how fast will the station
be spinning?
3.73 rpm
1.09 rpm
3.11 rpm
1.56 rpm