Artificial gravity is produced in a space station by rotating it, so it is a non

Question

Artificial gravity is produced in a space station by rotating it, so it is a noninertial reference frame. The rotation means that there must be a centripetal force exerted on the occupants; this centripetal force is exerted by the walls of the station. The space station in Arthur C. Clarke's 2001: A Space Odysseyis in the shape of a four-spoked wheel with a diameter of 135 m. If the space station rotates at a rate of 2.45 revolutions per minute, what is the magnitude of the artificial gravitational acceleration provided to a space tourist walking on the inner wall of the station?

Explanation / Answer

v = 2.45 rev /min
v = (2.45 * 3.14 * 135)/60 m/s
v = 17.31 m/s

Centripetal Acceleration, a = v^2/r
a = 17.31^2/(135/2) m/s^2
a = 4.44 m/s^2

Magnitude of the artificial gravitational acceleration, a = 4.44 m/s^2

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