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 Summary

Without considering relativity, centrifugal force is mv²/r.
I assume there should be a correction for relativity in measuring centrifugal force from the point of view of a particle on the rim of a rotating disc. Is the correction
1/√(1v²/c²) , or is there an additional correction for acceleration in a perpendicular direction?
I first thought of this problem when I came across the "Ehrenfest Paradox", and realized that as velocity approaches c, the measured force must diverge to infinity as the velocity approaches c.