I'm in a program named "Math's Integration". Over all, we choose a subject at start and work on it all through the year, handing about 2-3 pages of calculations per week (obligatory!).

My subject: What will be the distance travelled by a balloon having 'x' litres of 'x' fuel (taking in count the initial elevation from the ground and the arrival's fuel used).

'x' being a value we just haven't decided yet, so if you want to calculate stuff, just set a constant as 'x' and you'll be fine.

The thing is... I can't get to figure out how to apply the Buoyancy equations on this situation...

I'm trying to start with an extremely simplified situation, though I still fail to apply the equation: I'm not counting any friction, wind, balloon deformation due to pressure changes, non-uniform air density inside the balloon due to the heat not being spread equally and instantly, etc.

B = -p*V*g

If I set heights, find approximated values of the air density, and apply the equation, I'm fine, but this really won't get me anywhere.

I do understand the balloon will eventually reach an equilibrium state... but how to calculate its height?

Am I supposed to find what is the density that makes the Buoyancy equal to the negative force that represents the gravity and then find a table that permits me to evaluate an approximate height based on this air density?

I'm really, really lost!

Please, please, intelligent people, help me!

EDIT: COMPLETELY SOLVED: http://www.staredit.net/271126/

Get my final report of 42 pages right there: http://www.mediafire.com/download.php?951z2mjirjd6rx5

Post has been edited 9 time(s), last time on Dec 13 2010, 9:40 pm by payne.

None.