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Team:Kyoto/Modeling
From 2008.igem.org
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| - | <p class="title"> | + | <p class="title">Calculation</p> |
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| + | <!--Easy approximation calculation--> | ||
| + | <div class="modeling"> | ||
| + | |||
| + | <p class="subtitle">Easy approximation calculation</p> | ||
| + | |||
| + | <p class="main">We assume that...</p> | ||
| + | |||
| + | <ol class="A"> | ||
| + | <li class="A">The inside of the hull is jam-packed with E.coli.</li> | ||
| + | <li class="A">The lower surface of the hull is totally covered with E.coli.</li> | ||
| + | <li class="A">Individual thrusts do not interfere each other.</li> | ||
| + | </ol> | ||
| + | |||
| + | <li class="B">The weight of the Titanic in water =
4.0 × 10<sup>8</sup> N</li> | ||
| + | <li class="B">Volume of the Titanic
= 9.7 × 10<sup>4</sup> m<sup>3</sup></li> | ||
| + | <li class="B">Thrust by the total flagellum (thrust per one flagella = 0.29 pN)
2.5 × 10<sup>3</sup> N</li> | ||
| + | <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">The Titanic floats when f<sub>gas</sub> is more than 4.1 × 10<sup>-3</sup> pN !!</p> | ||
| + | |||
| + | </div> | ||
| + | |||
| + | <!--Further simplification--> | ||
| + | <div class="modeling"> | ||
| + | |||
| + | <p class="subtitle">Further simplification</p> | ||
| + | <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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| + | <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> | ||
| + | </td></tr> | ||
| + | </table> | ||
</div> | </div> | ||
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Latest revision as of 00:36, 28 October 2008
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Calculation
Easy approximation calculation
We assume that...
- The inside of the hull is jam-packed with E.coli.
- The lower surface of the hull is totally covered with E.coli.
- Individual thrusts do not interfere each other.
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.
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