Consider a non-rotating space station in the shape of a long thin uniform rod of mass 6.65 x 10^6 kg and length 574 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 9.48 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 2 minutes and 21 seconds before shutting off, then how fast will the station be rotating when the engines stop?
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