A space station (moment of inertia 5,000,000 kg•m2) is rotating with angular speed 0.30 rad/s when the 10 inhabitants are in the outer ring (radius 100 m). One half of the inhabitants move to the inner ring (radius 50 m). The average mass of each inhabitant is 70 kg. What is the new angular speed of the space station? How much energy was lost or gained? Where did it go or come from? The rotation of the space station creates the sensation of gravity due to the centripetal force. Determine the apparent weight of the inhabitants on the inner and outer ring at the faster angular speed.

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  A space station (moment of inertia 5,000,000 kg•m2) is rotating with angular speed 0.30 rad/s when the 10 inhabitants are in the outer ring (radius 100 m).  One half of the inhabitants move to the inner ring (radius 50 m).  The average mass of each inhabitant is 70 kg.  

  1. What is the new angular speed of the space station?
  2. How much energy was lost or gained?  Where did it go or come from? 
  3. The rotation of the space station creates the sensation of gravity due to the centripetal force.   Determine the apparent weight of the inhabitants on the inner and outer ring at the faster angular speed.
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