Team:Kyoto/Modeling

From 2008.igem.org

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   <p class="title">Modeling</p>
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   <p class="title">Calculation</p>
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   <div class="modeling">
   <div class="modeling">
   <p class="subtitle">Easy approximation calculation</p>
   <p class="subtitle">Easy approximation calculation</p>
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   <p class="main">We are similar like a lower figure by Titanic and do the following suppositions.</p>
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   <p class="main">We assume that...</p>
   <ol class="A">
   <ol class="A">
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     <li class="A">The hull inside is clogged up with E.coli jam-packed.</li>
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     <li class="A">The inside of the hull is jam-packed with E.coli.</li>
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     <li class="A">The lower surface of the hull is filled with E.coli.</li>
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     <li class="A">The lower surface of the hull is totally covered with E.coli.</li>
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     <li class="A">The individual thrust does not interfere each other.</li>
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     <li class="A">Individual thrusts do not interfere each other.</li>
   </ol>
   </ol>
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   <li class="B">The weight of the Titanic in water 
4.0 × 10<sup>8</sup> N</li>
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   <li class="B">The weight of the Titanic in water =
4.0 × 10<sup>8</sup> N</li>
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   <li class="B">Volume of the Titanic
 9.7 × 10<sup>4</sup> m<sup>3</sup></li>
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   <li class="B">Volume of the Titanic
= 9.7 × 10<sup>4</sup> m<sup>3</sup></li>
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   <li class="B">Thrust of flagellum (Thrust per one = 0.29 pN) 
2.5 × 10<sup>3</sup> N</li>
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   <li class="B">Thrust by the total flagellum (thrust per one flagella = 0.29 pN) 
2.5 × 10<sup>3</sup> N</li>
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   <li class="B">Buoyancy by gas vesicle 
(Buoyancy per one = f<sub>gas</sub> pN) 
f<sub>gas</sub> × V<sub>titanic</sub> / V<sub>E.coli</sub> = f<sub>gas</sub> × 9.7 × 10<sup>22</sup> N</li>
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   <li class="B">Buoyancy by the total gas vesicle 
(buoyancy per one gas vesicle = f<sub>gas</sub> pN) 
f<sub>gas</sub> × V<sub>titanic</sub> / V<sub>E.coli</sub> = f<sub>gas</sub> × 9.7 × 10<sup>22</sup> N</li>
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   <p class="conclusion">Titanic floats if f<sub>gas</sub> is more than 4.1 × 10<sup>-3</sup> pN!!</p>
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   <p class="conclusion">The Titanic floats when f<sub>gas</sub> is more than 4.1 × 10<sup>-3</sup> pN !!</p>
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  <p class="subtitle">Further simplification</p>
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  <p class="main">It is assumed that the ship floats when filled with the same volume water as that of its underwater part.</p>
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  <table class="image" align="center">
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    <a href="https://static.igem.org/mediawiki/2008/c/cc/Titanic-modeling.jpg" title="Image:Titanic-modeling.jpg" target="_blank"><img alt="Modeling" src="https://static.igem.org/mediawiki/2008/c/cc/Titanic-modeling.jpg" border="0" width="350" height="250" /></a>
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  </td></tr>
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  <p class="subtitle">Easily more</p>
 
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  <p class="main">It floats if only the same volume as the part below the waterline is filled with air.</p>
 
  </div>
  </div>
  <hr>
  <hr>
<html>
<html>

Latest revision as of 00:36, 28 October 2008

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Calculation

Easy approximation calculation

We assume that...

  1. The inside of the hull is jam-packed with E.coli.
  2. The lower surface of the hull is totally covered with E.coli.
  3. Individual thrusts do not interfere each other.
  • The weight of the Titanic in water =
4.0 × 108 N
  • Volume of the Titanic
= 9.7 × 104 m3
  • Thrust by the total flagellum (thrust per one flagella = 0.29 pN) 
2.5 × 103 N
  • Buoyancy by the total gas vesicle 
(buoyancy per one gas vesicle = fgas pN) 
fgas × Vtitanic / VE.coli = fgas × 9.7 × 1022 N

    • The Titanic floats when fgas is more than 4.1 × 10-3 pN !!

    Further simplification

    It is assumed that the ship floats when filled with the same volume water as that of its underwater part.

    Modeling

    Retrieved from "http://2008.igem.org/Team:Kyoto/Modeling"