Suppose a cylindrical habitat in space 6.80 km in diameter and 24 km long has been proposed. Such a habitat would have cities, land, and lakes on the inside surface and air and clouds in the center. This would all be held in place by rotation of the cylinder about its long axis. How fast would the cylinder have to rotate to imitate the Earth's gravitational field at the walls of the cylinder? Answer in rad/s.

Question

Physics

Marina Day

12 June, 11:41

Suppose a cylindrical habitat in space 6.80 km in diameter and 24 km long has been proposed. Such a habitat would have cities, land, and lakes on the inside surface and air and clouds in the center. This would all be held in place by rotation of the cylinder about its long axis. How fast would the cylinder have to rotate to imitate the Earth's gravitational field at the walls of the cylinder? Answer in rad/s.

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Giuliana Carter · Answer 1

a=v^2/r. This is the centripetal acceleration for object moving in circle. In order to imitate the earths gravitational acceleration, plug in 9.8 for a. Then plug in the radius of the cylinder and solve for v.