radius of the earth is approximately 6400km. suppose,a rope is wound around the equator touching the surface of the earth, and another such that it is at a distance of 160 m from the surface at all points and find the difference in the lengths of the two ropes.[ take π= 3.14]
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Step-by-step explanation:
The rope forms a perfect circle around the Earth. Therefore, its initial circumference is equal to 2πr. If we add 1 meter, it becomes 2πr+1. The way that we can find the new radius with this as its diameter is through basic algebra:
Let us find the new radius, which we will denote with s.
2πs = 2πr+1.
Dividing each side by 2π, we get:
s = (2πr+1)/2π
We want to solve for the difference between r and s. In other words:
s-r = (2πr+1)/2π - r
Plugging in r = 6400, we get that the difference is approximately 0.159 m.
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