A space station is essentially a uniform disk (mass (when empty) M = 4.67x105 kg, radius R = 53.5 m) in orbit around the Earth and spinning about its long axis.
a) You want a worker on the edge of the space station to feel an acceleration a = 8.87 m/s2, giving the illusion of gravity. Find the frequency f, the rate at which the space station spin (in revolutions per minute) to create this illusion.
b) Suppose one worker is on the spinning space station, whose mass is negligible compared to the disk (so she changes neither the mass nor the moment of inertia). If she now stands at distance d = 39.0 m from the center of the space station: what magnitude "acceleration due to gravity" would she experience now?