The Rope Puzzle

Watch the animation — then make your guess

Tabler ≈ 0.5 m
gap  Δr =
?
cm
Earthr ≈ 6 400 km
gap  Δr =
?
cm
✓   Same gap for both — the radius cancels out of the formula
Extra rope added   ΔC 1.00 m
0 1 m 2 m 3 m π m 4 m 5 m 2π m