What are the size limits on an spin-gravity space station?

A spin-gravity space station, a ring-shaped structure that creates a faux gravity on the inside of the ring via inertia, has been depicted as no bigger than a house and as massive as a solar system.

However, I expect there's some real-world limitations on size. With the understanding that any given ring is for human habitation and exactly 1G is the target, what are the minimum and maximum radial size limits?

For minimum, obviously about 2 meters, as that's human height, but I think having your head spinning at the center would make you dizzy, so minimum is probably bigger.

For maximum, theoretical maximum would be whatever radius calculates to 1G with 1C angular velocity. But spinning at near C has obvious practical problems, not to mention the billion or so non time-dilated years it would take just to accelerate up to speed.

I'm looking for real science and mathematics here. I'm hoping answers can be comprehensive enough to include pragmatic human needs, but they can neglect things like material strength.

posted over 4 years ago

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