# Angular momentum of a space station

A space station is constructed in the shape of a hollow ring of mass 5.00 x 10^4 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius of 100m. At rest when constructed, the ring is set rotating around its axis so that the people inside experience an effective free-fall acceleration equal to g . The rotation is achieved by firing 2 small rockets attached tangentially to opposite points outside of the ring.

a) What angular momentum does the space station acquire?

b) How long must the rockets be fired if each exerts a thrust of 125N?

C) Prove that the total torque of the ring multiplied by the time interval found in part b is equal to the change in angular momentum, found in part a.

Thanks.

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This solution is provided in approximately 251 words and attached in a .doc and .pdf file. It uses step-by-step calculations to find centripetal acceleration and angular momentum. It also solves the other problems and provides a reference for further learning.