Consider a non-rotating space station in the shape of a long thin uniform rod of mass 1.09 x 10^6 kg and length 769 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 1.79 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 14 seconds before shutting off, then how fast will the station be rotating when the engines stop?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 54P: Why is the following situation impossible? A space station shaped like a giant wheel has a radius of...
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  1. Consider a non-rotating space station in the shape of a long thin uniform rod of mass 1.09 x 10^6 kg and length 769 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 1.79 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 14 seconds before shutting off, then how fast will the station be rotating when the engines stop?
       
    1.81 rpm
       
    0.72 rpm
       
    2.53 rpm
       
    3.29 rpm
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