Saturday, October 31, 2009

Equator!!

Q: The circumference of the Earth is approximately 40,000 km. If we take a wire that is only 10 meters (0.01 km) longer than the circumference of the globe and circle it around the globe, can a flea, a mouse, or even a man can creep under it?

Solution

Circumference = 2*PI*r
Radius of Earth, rE = 40000/2*PI = 6366.1977236758134307553505349006
Radius of Wire, rW = 40000.01/2*PI = 6366.1993152252443497087082237382

Difference is 0.0015915494309189533576888382082065 = approx 1.6 m

So a tall man must duck to go through it but a smaller man can easily go through.

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Corner to Learn@:
Actual Circumference of the Earth is:
At the equator: 24901 miles
Around the poles: 24859 miles
[This is because the spinning of the earth creates a bulge.]

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