s A spacecraft is in empty space. It carries on board a gyroscope with a moment

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A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 16.0 kg · m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is Is = 5.00 times 105 kg · m2. Neither the spacecraft nor the gyroscope is originally rotating. The gyroscope can be powered up in a negligible period of time to an angular speed of 120 rad/s. If the orientation of the spacecraft is to be changed by 36.0 degree , for what time interval should the gyroscope be operated? S

Explanation / Answer

As they are in space no external force will be acting.So we can apply the law of conservation of angular momentum.

16*120={(16+(5*10^5))*(36pi)/(180*16*120)}

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