Find the buoyant force on a hot air balloon

Click For Summary
SUMMARY

The buoyant force on a hot air balloon can be calculated using Archimedes's principle, which states that the buoyant force equals the weight of the displaced fluid. In this case, with a displaced fluid mass of 2800 kg and an acceleration due to gravity of 10 m/s², the buoyant force is determined by the equation F = ma, resulting in a force of 28,000 N. It is important to note that the weight of the hot air balloon does not factor into the buoyant force calculation, but it must be subtracted to find the net force acting on the balloon.

PREREQUISITES
  • Understanding of Archimedes's principle
  • Basic knowledge of Newton's second law (F=ma)
  • Familiarity with concepts of density and buoyancy
  • Ability to perform calculations involving mass and gravitational acceleration
NEXT STEPS
  • Study the principles of buoyancy and fluid mechanics
  • Learn how to calculate the density of gases and their effects on buoyancy
  • Explore the relationship between temperature and density in gases
  • Investigate the net forces acting on objects in fluids
USEFUL FOR

Students studying physics, engineers working with buoyant systems, and anyone interested in the mechanics of hot air balloons and fluid dynamics.

PHart111
Messages
1
Reaction score
0

Homework Statement


I'm trying to find the buoyant force on a hot air balloon. The mass of the displaced fluid is 2800 kg and the acceleration is that of gravity, (let's say 10 m/s^2).


Homework Equations


F=ma


The Attempt at a Solution


I think that you can just multiply these together to find this, or do you have to subtract the weight of the hot air balloon from it as well.

Thank you
 
Physics news on Phys.org
PHart111 said:

Homework Statement


I'm trying to find the buoyant force on a hot air balloon. The mass of the displaced fluid is 2800 kg and the acceleration is that of gravity, (let's say 10 m/s^2).


Homework Equations


F=ma


The Attempt at a Solution


I think that you can just multiply these together to find this, or do you have to subtract the weight of the hot air balloon from it as well.

Thank you

I think you are missing some information. A hot air balloon floats because the hot air inside the balloon is less dense the the surrounding air. I think we also need the temperature of the hot air in the balloon and the temperature of the air outside the balloon?
 
PHart111 said:
I think that you can just multiply these together to find this, or do you have to subtract the weight of the hot air balloon from it as well.
What is the exact problem you are trying to solve? The buoyant force is the upward force exerted by the surrounding fluid (the air)--it has nothing to do with the weight of the balloon. If you want the net force on the balloon, then you'd need to subtract the weight of the balloon (and anything attached to it).

Per Archimedes's principle, the buoyant force equals the weight of the displaced fluid, which is its mass times g.
 

Similar threads

  • · Replies 17 ·
Replies
17
Views
3K
Replies
17
Views
3K
Replies
18
Views
7K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K