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There is a piece of string wrapped tightly around the earth How much longer would the string need to be if there was a gap of 1 meter between the string and the earth?
Wiki User
∙ 15y ago
This is a minor geometrical calculation in which the radius of the object the string circles is irrelevant.
If the radius of the Earth is 'r', then the length of the tight string = 2π(r)
The increase of 1 metre is an increase of the radius to r+1, so the new length is 2π(r+1)
If we give π a value of 3.1416, then the old length is the string was 6.2832(r) and the new length is 6.2832(r+1) or 6.2632(r) + 6.2632
So, as we don't put a value on (r), this actually means that if the string is around a pea or the earth the extra length needed to loosen it by 1 metre all around is 6.2632 metres and is the same in either case.
Wiki User
∙ 15y ago
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