Discover the intriguing String Girdling Earth Paradox with our easy-to-use calculator. Find out exactly how much extra rope you'd need to lift a taut rope encircling the Earth (or any sphere) by a small, uniform height. This calculator quickly reveals the surprisingly constant additional length required, making complex geometry simple and understandable.
Formula:
The core of the String Girdling Earth Paradox lies in a simple geometric principle. The additional length required to raise a rope uniformly around a sphere by a certain height is independent of the sphere's original radius.
Formula: L = 2πh
- L = Extra length needed (in meters)
- π (Pi) = Approximately 3.14159
- h = Height to raise the rope (in meters)
This formula demonstrates that for any sphere, whether it's an apple or the Earth, the extra length required to raise the circumference by a specific height remains the same!