SOLUTION: Suppose you tie a rope around the earth at the equator (circumference approx. 25,000 miles). Let's say you pull the rope as tight as it will go and then add back 6 feet of slack be

Question 239952: Suppose you tie a rope around the earth at the equator (circumference approx. 25,000 miles). Let's say you pull the rope as tight as it will go and then add back 6 feet of slack before tying the knot. If the extra rope is distributed evenly around the globe will there be enough space between the rope and the surface of the earth for a worm to crawl under? Assume the earth is a perfect sphere and the rope does not stretch.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Suppose you tie a rope around the earth at the equator (circumference approx. 25,000 miles).
Let's say you pull the rope as tight as it will go and then add back 6 feet of slack before tying the knot.
If the extra rope is distributed evenly around the globe will there be enough
space between the rope and the surface of the earth for a worm to crawl under?
Assume the earth is a perfect sphere and the rope does not stretch.
:
Whatever you add to the circumference, divide that by pi, that's what's added to the diameter.
= 1.909859 ft added to the diameter
we want to know what's added to the radius
Divide it by 2 and you have .955 ft (about 11.46 inches) plenty room for a worm
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