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April 17, 2014

April 17, 2014

Posted by **sara** on Wednesday, February 15, 2012 at 5:42pm.

If one could burrow through the Earth and dig a straight-line tunnel from Dubuque to Guatemala City, how long would the tunnel be?

-->I know the answer for above and it is

3072992.8 m..i need help with part b

b)From the point of view of the digger, at what angle below the horizontal would the tunnel be directed?

- physics -
**drwls**, Wednesday, February 15, 2012 at 7:47pmIf the tunnel length is L and the Earth radius is R, the angle below horizontal is

arcsin [L/(2R)]

Prove it to yourself by drawing a circular arc and a straight line between the two cities, with the center of the Earth as the center of the arc. A line from the center of the Earth to the center of the straight line (tunnel) forms a right triangle with hypotenuse R, angle A at the Earth center, and one side equal to L/2.

A = arcsin [L/(2R)]

Look up R. It is about 6.4*10^6 m

I get about 29 degrees. .

- physics -
**sara**, Thursday, February 16, 2012 at 12:23pmfor L, are you using the answer from part a?? when i use that i get around 14 degrees

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