Consider a cylindrical space station of mass M and radius r in acircular orbit outside the Earth's atmosphere at a height h fromthe ground surface. Residents of the station can live within itsinner walls.
A) What is the linear speed of the space station in itsorbit?
B) What is the weight of each person with mass m at thisstation?
C) Now, if this station rotates with angular velocity of ωaround the main axis of the cylinder,
D) What is the weight of each person?
E) If we are interested in adjusting the angular velocity sothat the residents feel a weight similar to their experience on theground surface, then what is the period of this station arounditself? Find the value of the period assuming that the radius ofthe station is 100 m.
F) If one of the persons starts running inside the station withspeed v, how much does the rotation speed of the stationchange?
Consider a cylindrical space station of mass M and radius r in a circular orbit outside the Earth's atmosphere at a heig
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