It has been suggested that rotating cylinders about 12 mi long and 4.6 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

centripetal acceleation=w^2 * r

r=2.3miles, change that to meters.

set acceleration to g, and solve for w