Asked by Mike
Suppose that a steel hoop could be constructed to fit just around the earth's equator at a temperature of 20.0 Celsius.
What would be the thickness of space between the hoop and the earth if the temperature of the hoop were increased by 0.200 C?
Use 6.38×106m for the radius of the earth, and 1.20×10−5K^-1 for the coefficient of linear expansion of steel.
What would be the thickness of space between the hoop and the earth if the temperature of the hoop were increased by 0.200 C?
Use 6.38×106m for the radius of the earth, and 1.20×10−5K^-1 for the coefficient of linear expansion of steel.
Answers
Answered by
drwls
The increase in hoop length would be
delta L = (2 pi R)*delta T*1.2*10^-5 = 96.2 m
The radius increases by the same factor, 1.2*10^-5*0.2 = 2.4*10^-6.
Multiply that by the original radius.
The new hoop radius is larger by 15.3 m
That is how high the hoop will rise above the surface
delta L = (2 pi R)*delta T*1.2*10^-5 = 96.2 m
The radius increases by the same factor, 1.2*10^-5*0.2 = 2.4*10^-6.
Multiply that by the original radius.
The new hoop radius is larger by 15.3 m
That is how high the hoop will rise above the surface