Monday, April 18, 2011

2.2853987 leagues under the Sea

 It recently occoured to me that the title 20,000 Leagues Under the Sea must be hyperbole (assuming that there isn't explanation in the book, which there may be as I have never read it). 20,000 leagues is just over 60 miles,  far deeper than the 11,034 meters(2.2853987 leagues) of the deepest depths of the Marianas trench. According to my calculations(which I believe underestimate actuality as I haven't the mathematical wherewithal to factor in the pressure and gravity gradients as given by this equationp(z)=\frac{1}{A}\int_{z_0}^z dz' \iint\limits_A dx' dy'\, \rho (z') g(z') = \int_{z_0}^z dz'\, \rho (z') g(z') ) the pressure at 60 miles would be 71 tons per square inch. To visualize...
about 71 tons or 142,000 lbs
Even still, the real deepest depths of the oceans, known as the hadal zones (from the word Hades), are far from accustomed to exploration . As a result, nearly nothing is known about the deepest of the deep. (I  wish I knew that before I started a research paper on it)

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1 comment:

  1. AnonymousJuly 11, 2015 at 11:20 PM

    Hey there, future Stefan C. here... well present Stefan, but from a present after the Stefan that wrote this.
    First off, hi. Finally, it's funny how that math looks much easier now.

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