A length of wire completely surrounds the earth at the Equator. Imagine that the wire floats, that it has negligible mass, and that it fits snugly around the earth. Cut the wire and splice in an extra 20 feet of wire. Now the wire will be slightly slack in its fit. Raise the wire equally at all points away from the earth until it is tight again. A. How high will the wire be off the earth at all points?(Answer correct to 3 decimal points)
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Let radius of earth be r . So intial length of wire = 2 π r . Now 20 feet wire is added so circumference will increase, so let increased radius be R . Hence, 2 π r + 20 = 2 π R . So we get, R - r = π 1 0 . But, R - r is increased height. So we get, R - r = 3 . 1 8 3 0 9 8 8