Problem: It has been suggested to place rotating cylinders about 22 km long and 10 km in diameter in space as a colony is habitable. The purpose of the rotation, according to those who propose it, is to provide artificial gravity to its inhabitants, such as they would have if they were on the earth surface.
If the mass of the cylinder and its contents were 3.25x1012 kg and we tried to place a satellite of X in a circular orbit with a radius of 8 km. How fast in m/s would it describe its orbit around the Earth?