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Team:Kyoto/Modeling
From 2008.igem.org
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<ol class="A"> | <ol class="A"> | ||
| - | <li class="A">The | + | <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 | + | <li class="A">The lower surface of the hull is totally covered with E.coli.</li> |
| - | <li class="A"> | + | <li class="A">Individual thrusts do not interfere each other.</li> |
</ol> | </ol> | ||
| - | <li class="B">The weight of the Titanic in water
4.0 × 10<sup>8</sup> N</li> | + | <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">Volume of the Titanic
= 9.7 × 10<sup>4</sup> m<sup>3</sup></li> |
| - | <li class="B">Thrust | + | <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 gas vesicle
( | + | <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> |
| - | <p class="conclusion">Titanic floats | + | <p class="conclusion">The Titanic floats when f<sub>gas</sub> is more than 4.1 × 10<sup>-3</sup> pN !!</p> |
</div> | </div> | ||
Revision as of 00:35, 28 October 2008
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Modeling
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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