There is a 1:1 correspondence of points on the 2 circles. The fallacy lies in the assumption that it means the 2 curves must have = length.pic.twitter.com/hp4AL9unEY
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There is a 1:1 correspondence of points on the 2 circles. The fallacy lies in the assumption that it means the 2 curves must have = length.pic.twitter.com/hp4AL9unEY
More to the point: the inner wheel is slipping.
Circumferential length ≠ Radial length
Not measuring circumference, It's measuring degrees which are equal for both!
only one of the wheels rolls, the other one slips
But imagine this is the outer & inner edge of a tyre (or marks on solid wheel!) - do tyres work like that?
The inner circle rotates at a faster rate than the outer. Velocity is invers proportional to radius.
No - wrong way round outer circle rotates faster
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