It has been suggested that rotating cylinders about 10 mi long and 4.9 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?

Answer 1

you grab the diameter divide it by 2
4.9 / 2 = 2.450
You them grab the answer above and covert it (miles to meters) by multiplying it by 1609.34
2.45 x 1609.34 =

after you have the answer for above square root it and that will give you the final answer in rad/s