Consider a non-rotating space station in the shape of a long thin uniform rod of mass 7.79 x 10^6 kg and length 1297 met

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Consider a non-rotating space station in the shape of a long
thin uniform rod of mass 7.79 x 10^6 kg and length 1297 meters.
Rocket motors on both ends of the rod are ignited, applying a
constant force of F = 4.63 x 10^5 N to each end of the rod as shown
in the diagram, causing the station to rotate about its center. If
the motors are left running for 1 minutes and 16 seconds before
shutting off, then how fast will the station be rotating when the
engines stop?
0.84 rpm
0.40 rpm
0.16 rpm
0.56 rpm