A cylindrical space colony 8km in diameter and 30 km long hasbeen proposed as living quarters for future space explorers. Such a
habitat would have cities, land and lakes on the insidesurface and air and clouds in the center. All this would beheld in place by the rotation of the cylinder about the longaxis. How fast would such a cylinder have to rotate toproduce a 1-g gravitational field at the walls of thecylinder? a) 0.05 rad/s
b) 0.10 rad/s
c) 0.15 rad/s
d) 0.20 rad/s
e) 0.25 rad./s
The solution to this problem requires the knowledge of constant angular acceleration motion. The equations used here are similar to those used in constant linear acceleration motion. The detailed solutio is presented in the attachment below.