It has been suggested that rotating cylinders about 9 mi long and 6.0 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth?

Answer 1

w=sqrt(g/r)
r=d/2
r=6/3
r=3mi
r=4828.032meters
w=sqrt(9.8/4828.032)
w=0.045053rad/s