Here's one that was in my head for a few days:
Imagine a solid rotating in space, like a disk or something.
Lets say that the angular velocity of the solid is: \[\ \omega = 0.9c \ rad*s^{-1} \] where c is the speed of light.
What is the tangential velocity of the solid at the distance r, lets say 2m from the axis of rotation?
What would happen to the solid?
I can't quite imagine what that would look like.

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\[r* \sqrt{1-v^2/c^2}\]
I think

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