# Generating artificial gravity by using rotation

If I want to design for futuristic space stations and I want to use rotation to produce artificial gravity. One of such designs consists of a giant ring that is rotated about its centre. If it were rotating fast enough, inhabitants in the ring will feel a ‘gravitational’ force just like on Earth.

Suppose there are two clocks in the space station, one at the centre and the other attached to the rotating ring. Which clock would be slower?

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The clock placed on the rotating ring would tick slower by a factor of $\sqrt{1-\omega^2 r^2/c^2}$, where $\omega$ is the angular velocity of the ring, $r$ is the radius of the ring and $c$ is the speed of light.