SOLUTION: A steel band is drawn tightly about the earth's equator. The band is then loosened by increasing its length by 10 feet, and the resulting slack is distributed evenly along the band

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Question 1071500: A steel band is drawn tightly about the earth's equator. The band is then loosened by increasing its length by 10 feet, and the resulting slack is distributed evenly along the band's entire length. How far above earth's surface is the band?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let R be the earth's radius,
The length of the original band is,
L=2pi%2AR
So the new length with the change in radius of dR would be,
L%2B10=2pi%2A%28R%2BdR%29
Substituting,
2pi%2AR%2B10=2pi%2AR%2B2pi%2AdR
2pi%2AdR=10
dR=10%2F%282pi%29
dR=5%2Fpift