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19 June, 07:35

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 Odyssey is in the shape of a four-spoked wheel with a diameter of 150 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?

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  1. 19 June, 09:45
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    centripetal acceleration = ω² R

    ω is angular speed of rotation and R is radius of circular path

    ω = 2π n

    n is no of rotation per sec

    = 2.45 / 60

    ω = 2π x 2.45 / 60

    =.2564 rad / s

    centripetal acceleration = ω² R

    =.2564² x 150/2

    = 4.93 m / s²

    gravitational acceleration provided = 4.93 m / s²
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