If u use a rope to wind the earth once and if u cut the rope and add 1 m. extra ,how much can u lift the rope?

Question

if u r trying to lift it uniformly,how much can u lift?

Answer 1

if its exactly at 90 degree it could be half meter but if at slope it will be less depending upon the slope

Answer 2

Yes, the rope pinched together will be 0.5 meters high, but when pulled tight will be a little higher, but I cannot figure it out, either. It will involve the tangent of the tiny angle formed with the Earth curvature.

Any added circumference of 1 will always be from a radial increase of 0.159 regardless of the initial size. But the initial size has not changed.

I am submitting this in order to easily retrieve it so out of curiosity I can see what the real answer will be, hopefully.
So give me a thumbs-down too.
If no good answer shows up here why not submit it again in the mathematics category.

Answer 3

the circumference of the rope when it is taught against the earth is

c=2*pi*r

so r in this case is

rb=c/(2*pi) rb=rbefore

so then let say you add 1 m to it then the circumference is c+1

ra=(c+1)/(2*pi) ra=rafter

ra-rb=(c+1)/(2*pi) - c/(2*pi)
ra-rb=c/(2*pi)+1/(2*pi)-c/(2*pi)
ra-rb=1/(2*pi)
ra-rb=0.159 meters

so that is how much the radius changes