πŸͺ™ Rolling Coins

How many times does a rolling coin spin? The curve of the track changes the answer.

0.0spins
rolling 0.0 + bend 0.0 = 0.0
Big Γ· small = 3
One lap β†’  spins
πŸ€” Predict first β€” how many spins?
Why?
πŸ’‘ Watch the teal stick. It stays perpendicular to the ground, like a flagpole riding along. The purple arrow spins past the stick exactly the rolling number of times. The stick's own turning is the bend part β€” that's the extra (or missing) spin.
The rule: spins = (track length Γ· coin circumference) Β± bend.
Outside a circle: R/r + 1 Β· Inside: R/r βˆ’ 1 Β· Straight road: Β±0