# Lifting using air presure

1. Feb 10, 2010

### TheDumbDane

1. The problem statement, all variables and given/known data
* A blue whale is spraying out air in a vertical column every time it exhales.
* The whale is exhaling a volumn V[air] = 6 m^3 of air in every blow at an initial speed of v[air] = 30 m/s. (The velocity is a guess.)
* The diameter of the whale's blowhole is d = 0,2 m.
(I am not sure whether of not I need some additional imformation.)

Question: How fare up in the air h will a person of mass m[person] = 54 kg be lifted if this person is sitting on the back of a blue whale, right on top of the blowhole when the animal exhales?

2. Relevant equations
* The masse of the air: m[air] = V[air]*density[air]. (The air's density is found in a physics encyclopedia or similar, I assume).

* The presure of the air when leaving the whale p[air]. (I probably have to use the air's velocity and mass in some way.)
* In should probably be able to calculate at what height a person of mass 54 kg will be lifted, given the "lifting" presure p[air].

3. The attempt at a solution
<See 2. for my attempt.>
Also, I have taken a look at http://en.wikipedia.org/wiki/Fluid_statics for some inspiration but it did not give me anything.