It has been suggested that rotating cylinders about 12.5 mi long and 4.88 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?

Question

Answer in rad/s

Answer 1

First change 2.44 mi into meters (radius)

a = rw^2 so w = sqrt(a/r) = sqrt (9.8/radius)
You could also go "English" and change the miles to feet and use a = 32.