MHB Calculate Buoyant Force of 2.00L Helium Balloon

AI Thread Summary
To calculate the buoyant force on a 2.00 L helium balloon, apply Archimedes' principle, which states that the buoyant force equals the weight of the fluid displaced. The buoyant force can be expressed as B = ρ_fluid * V_fluid * g, where ρ_fluid is the density of the fluid (air), V_fluid is the volume of the balloon, and g is the acceleration due to gravity. To find the mass of the air displaced, use m = ρ * V, where ρ is the density of air and V is the volume of the balloon. The calculation ultimately leads to determining the weight of the 2.00 L of air to find the buoyant force acting on the helium balloon. Understanding these principles is essential for accurately calculating buoyant forces in fluid dynamics.
cbarker1
Gold Member
MHB
Messages
345
Reaction score
23
Calculate the buoyant force (in N) on a 2.00 L helium balloon.

Work:

Upward is Buoyant
Downward is weight due to gravity

$$\Sigma F=0$$
$B-mg=0$
$B=mg$
$\rho=m/V$
$m=\rho*V$
$B=\rho_{fluid}*V_{fluid}*g$

I am stuck on $m=\rho*V$. Am I missing something?
 
Last edited by a moderator:
Mathematics news on Phys.org
I would use:

[box=blue]
Archimedes' principle
Any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object.[/box]

So, you need only find the weight of 2.00 L of air. :)
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top