Rope around the earth


Imagine that the earth is a perfect sphere with a radius of 6371000 meters and there is a rope tightly wrapped around the equator. With one line of MATLAB code determine how much the rope will be lifted above the surface if you cut it and insert a 1 meter segment of rope into it (and then expand the whole rope back into a circle again, of course).
Christian Schröder
Christian Schröder el 10 de Ag. de 2024
Since the length of the rope is 2πr meters, increasing it is equivalent to increasing the radius by 1/(2π) meters - and that's how much it will be lifted off the surface. No MATLAB necessary for this one!
Adam Danz
Adam Danz el 12 de Ag. de 2024
fprintf('%.4f meters',1/(2*pi))
0.1592 meters
A little taller than a soda can. That's pretty difficult for me to imagine. I would have estimated a much smaller height when adding only 1 m length.

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