40,000 km steel pipe around earth warmed to raise tmp by 1C pipe now longer stands how high above ground level

Question

40,000 km pipe is a ring that fits snugly around the earth. as the pipe is warmed 1 degree C, it gets longer and is not snug anymore.(expansion from heat) consider expansion of radial distance from center of earth by applying geometry to relate circumference and radius...C = 2 pie r

Answer 1

forget about the size of the pipe (40,000 km ......... all c**p)

now first figure out the distance that it expand assuming its a straight rod.

lets say it expands 1km ok

so now c= 2 pie r

c= 1lm

and solve for r= .15km

and thats how much loose the pipe to the earth would be

or the distance from the ground

Answer 2

Low carbon steel expands at a rate of 10.7 x 10^-6 m/m/C

The total expansion = 4.0 x 10^7 m x 1 C x 10.7 x 10^-6 m/m/C = 428 meters

To get the radial growth divide by 2 pi

The pipe is 68 meters above ground level