A cylindrical habitat in space 5.81 km in diameter and 37.7 km longhas been proposed (by G.K. O’Neill, 1974). Such a habit at would have cities, land, and lakes on the inside surface and airand clouds in the center. This would all be held in place byrotation of the cylinder about its long axis. How fast would the cylinder have to rotate to imitate the Earth’s gravitational field at the walls of the cylinder? The acceleration of gravity is9.8 m/s2 .
Answer in units of rad/s.