# What are the consequences of relativistic angular velocities?

If I take a rod of some radius $r$ and length $L$, and I spin this rod with angular velocity $\omega$. How would the geometry of the rod appear to an observer as one converges to $c$? What are the consequences of this to, say, electrons in a solenoid?

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 Angular velocity $\omega$ has different dimension from light speed $c$, hence can't really approach it. You want $\omega \rightarrow c r$? – user1664196 Jan 12 at 3:17 @user1664196 Yeah, I'd be happy with whatever the limiting speed is for angular velocity (there must be one, right?). – Kevin Jan 12 at 3:24 @Raindrop Right, I noticed the paper you referenced, but it doesn't help with the specific questions I have: How would the geometry of the rod appear to an observer as one converges to c? What are the consequences of this to, say, electrons in a solenoid? – Kevin Jan 12 at 3:50 Check this research out: [Relativistic Hall Effect][2] "We examine manifestations of the relativistic Hall effect in quantum vortices and mechanical ﬂywheels and also discuss various fundamental aspects of this phenomenon." quoted from the abstract. [2]: prl.aps.org/pdf/PRL/v108/i12/e120403 – Raindrop Jan 12 at 6:54 Relativistic contraction and related eﬀects in noninertial frames xxx.lanl.gov/abs/gr-qc/0307011 en.wikipedia.org/wiki/Ehrenfest_paradox – Raindrop Jan 12 at 7:20
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I have no idea how electrons would behave in a solenoid coiled around a rod with angular acceleration, $\omega \rightarrow cr$.