It has been suggested that rotating cylinders about 11 mi long and 3.6 mi in dia

Question

It has been suggested that rotating cylinders about 11 mi long and 3.6 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?
________________ rad/s It has been suggested that rotating cylinders about 11 mi long and 3.6 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?
________________ rad/s

Explanation / Answer

We need the centripetal acceleration 2r = g. Solving for , = (g/r)1/2

r = 1.8 miles = 2896.8 m

so = ((9.81 m/s2)/(2896.8 m))1/2 = 0.0582 rad/s

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