Rope Around The Earth

This below is one answer i saw.

Rope around the earth.

Now imagine the rope is made just one meter longer and lifted uniformly off the surface until it is once again taught. 2pi or approximately 6 28 feet for both the basketball and the earth. 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. From the diagram it s pretty clear it s one foot.

Divide again by pi to get the earth s radius 6 370km. Imagine there s a rope around the equator of an earth sized sphere making it around 25 000 miles long. 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. Student answer form blackline master rope around the world you have a piece of rope that just fits around the earth.

If you put 1 metre high sticks right around the equator and lay the rope on. 15cm that s how far off the ground we re lifting the string remember out of 6 370km is close. 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. 40 000 divided by 2 is 20 000.

As a circle of radius r has a circumference of 2 π r regardless of the value of c. 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. Let c be the earth s circumference r be its radius c be the added string length and r be the added radius. Imagine a rope tied around the earth s equator like a ring on a person s finger.