A cylindrical habitat in space 8.75 km in di- ameter and 28.5 km long has been proposed (by G.K. O'Neill, 1974). Such a habitat would have cities, land, and lakes on the inside sur- face and air and clouds in the center. This would all be held in place by rotation of the cylinder about its long axis. At what angular velocity would the cylinder have to rotate to imitate the Earth's gravita- tional field at the walls of the cylinder? The acceleration of gravity is 9.8 m/s² . Give your answer in rad/s. Answer in units of rad/s.

A cylindrical habitat in space 8.75 km in di- ameter and 28.5 km long has been proposed (by G.K. O'Neill, 1974). Such a habitat would have cities, land, and lakes on the inside sur- face and air and clouds in the center. This would all be held in place by rotation of the cylinder about its long axis. At what angular velocity would the cylinder have to rotate to imitate the Earth's gravita- tional field at the walls of the cylinder? The acceleration of gravity is 9.8 m/s² . Give your answer in rad/s. Answer in units of rad/s.