Special Deal
How does special relativity deal with this?
If you have a wheel and axle, and by some means you spin the axle at the speed of light, what would happen to the wheel, whose outer rim is traveling faster?
This is all rhetorically, of course-I know there is no way of doing this.
You already answered the question – special relativity basically deals with it by saying “You can’t get there from here”. To accelerate the wheel so it’s outer edge is moving at the speed of light would require an infinite amount of power, which can’t happen.
Now, if you want an interesting problem, work out what happens to the wheel when it’s *nearly* at the speed of light, due to the different speeds at different radii – at normal speeds, the wheel turns as one piece, but once you get relativistic, you get all sorts of foreshortening issues and so on, so the apparent circumference at one distance out isn’t half the circumference twice further out…
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