Rope Around The Earth

The idea is to imagine the earth is a cube or just a square really and ask yourself if you added say 8 feet to the rope how far would that raise it above the square earth. From the diagram it s pretty clear it s one foot. 40 000 divided by 2 is 20 000.

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William Whiston S Rope Arond The Earth

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The rope around the earth puzzle.

Rope around the earth.

Let c be the earth s circumference r be its radius c be the added string length and r be the added radius. How much longer must it be for it to be one foot off the ground all the way around the equator. Rope around the earth puzzle imagine a rope that fits snugly all the way around the earth like a ring on a person s finger. Now imagine lifting off this very long rope don t ask me how cutting it somewhere so as to stitch into it exactly one meter of extra rope.

From there it s not hard to believe that adding 3 feet to a rope around the actual earth would raise it almost 6 inches. Now imagine the rope is made just one meter longer and lifted uniformly off the surface until it is once again taught. As a circle of radius r has a circumference of 2 π r regardless of the value of c. Student answer form blackline master rope around the world you have a piece of rope that just fits around the earth.

This below is one answer i saw. Imagine a rope tied around the earth s equator like a ring on a person s finger. 15cm that s how far off the ground we re lifting the string remember out of 6 370km is close. Imagine there s a rope around the equator of an earth sized sphere making it around 25 000 miles long.

2pi or approximately 6 28 feet for both the basketball and the earth. A corollary is that to raise the original string 16 cm 6 3 in off the ground all the way around the equator only about 1 metre 3 ft 3 in needs to be added. Divide again by pi to get the earth s radius 6 370km. If you put 1 metre high sticks right around the equator and lay the rope on.

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