It has been suggested that rotating cylinders about 90 ml lo

It has been suggested that rotating cylinders about 9.0 ml long and 4.5 ml 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?

Solution

the angular speed is calculated as follows:

    w = sqrt[a/r] = sqrt[9.8 /({4.5/2}*1609 m/1 mi) ] = 5.20e-2 rad/s