Question

13. Artificial Gravity. Suppose a space hotel was put far outside the moon’s orbit and away from any other large astronomical bodies/external forces. This space hotel is in the shape of a donut, with a rectangular cross section connected by spokes on a central axis. The floor is the inside of the outer wall and the radius of this hotel is 1.4 km. Note: since the hotel is far outside the moons orbit, we will assume there are no freefall effects) a) How many revolutions per minute would this space hotel have to rotate to duplicate the acceleration due to gravity, g, on the surface of the earth? b) If someone with a weight of 620N on earth aboard this hotel were to move half the radius inward, toward the center, what then would their weight be at this radius?

Answer 1