Team:Kyoto/Modeling

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Modeling

Easy approximation calculation

We are similar like a lower figure by the 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!!

    Further simplification

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

    Modeling

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