Team:Kyoto/Modeling

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   <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 of flagellum (Thrust per one = 0.29 pN) 
2.5 × 10<sup>3</sup> N</li>
   <li class="B">Thrust of flagellum (Thrust per one = 0.29 pN) 
2.5 × 10<sup>3</sup> N</li>
-
   <li class="B">Buoyancy by gas vesicle 
(Buoyancy per one = f<sub>gas</sub>) 
f<sub>gas</sub> pN × V<sub>titanic</sub> / V<sub>E.coli</sub> = f<sub>gas</sub> × 9.7 × 10<sup>22</sup> N</li>
+
   <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>
   <p class="conclusion">Titanic floats if f<sub>gas</sub> is more than 4.1 × 10<sup>-3</sup> pN!!</p>
   <p class="conclusion">Titanic floats if f<sub>gas</sub> is more than 4.1 × 10<sup>-3</sup> pN!!</p>

Revision as of 18:11, 26 October 2008

Home Team Project Parts Modeling Notebook Links

Modeling

Easy approximation calculation

We are similar like a lower figure by Titanic and do the following suppositions.

  1. The hull inside is clogged up with E.coli jam-packed.
  2. The lower surface of the hull is filled with E.coli.
  3. The individual thrust does not interfere each other.
  • The weight of the Titanic in water 
4.0 × 108 N
  • Volume of the Titanic
 9.7 × 104 m3
  • Thrust of flagellum (Thrust per one = 0.29 pN) 
2.5 × 103 N
  • Buoyancy by gas vesicle 
(Buoyancy per one = fgas pN) 
fgas × Vtitanic / VE.coli = fgas × 9.7 × 1022 N
  • Titanic floats if fgas is more than 4.1 × 10-3 pN!!

    Easily more

    It floats if only the same volume as the part below the waterline is filled with air.