Question: The space station is initially not rotating. Its reaction control system exerts a constant couple on it until it has rotated 90 , then exerts

The space station is initially not rotating. Its reaction control system exerts a constant couple on it until it has rotated 90◦ , then exerts a constant couple of the same magnitude in the opposite direction so that its angular velocity has decreased to zero when it has undergone a total rotation of 180° . The maneuver takes 6 hours. The station’s moment of inertia about the axis of rotation is I = 1.5 × 10 ¹⁰ kg-m ² . How much work is done in performing this maneuver? In other words, how much energy had to be expended in the form of reaction control fuel?

The space station is initially not rotating. Its reaction control system exerts

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