One proposed method of simulating gravity in zero-g environment is by spinning.

Question

One proposed method of simulating gravity in zero-g environment is by spinning. Consider a cylindrical space station where the floor is 50m away from the axis of rotation. What angular velocity must the station rotate at so that the perceived acceleration toward the floor is 9.81 m/s^2? Note that there are no real gravitational fields in this problem. Give your answer in units of revolution per minute. One proposed method of simulating gravity in zero-g environment is by spinning. Consider a cylindrical space station where the floor is 50m away from the axis of rotation. What angular velocity must the station rotate at so that the perceived acceleration toward the floor is 9.81 m/s^2? Note that there are no real gravitational fields in this problem. Give your answer in units of revolution per minute.

Explanation / Answer

Here ,

let the angular speed is w

centripetal acceleration = w^2 * r

9.81 = w^2 * 50

w = 0.443 rad/s

w = 0.443 * 60/2pi

w = 4.23 rpm

the angular velocity is 4.23 rpm

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