What is the buoyant force exerted on the balloon in air

In summary, the conversation discusses the correct interpretation of Archimedes' Principle for a specific application involving a helium-filled balloon and the buoyant force exerted on it in the air. It is determined that the buoyant force is equal to the weight of the displaced fluid, with a calculated value of .115 N. There is also a correction made about the units of measurement used.
  • #1
Eng67
21
0
Is this a correct interpretation of Archimedes Principle for this application?

A balloon is filled with helium (density = .02 kg/m^3) and has a volume of .009 m^3. What is the buoyant force exerted on the balloon in air
(density = 1.3 km/m^3)?

Fb = (1.3 km/m^3)x (.009 m^3) x (9.80 m)

= .115 N

Thanks
 
Physics news on Phys.org
  • #2
Yes. Archimedes' Principle says that the buoyant force on an object equals the weight of the displaced fluid.
 
  • #3
Nitpick! Mass is measured in kg, not km. The latter is a measure of distance.
 
  • #4
Ya.. Eng67, u'r units are all wrong
Unit for density: [tex] kg/m^3 [/tex]
Unit for gravity: [tex] m/s^2 [/tex]
 
  • #5
Thanks for the help Guys. I just typed in Km instead of Kg.
 

What is the buoyant force?

The buoyant force is the upward force that is exerted on an object when it is placed in a fluid, such as air or water. It is a result of the difference in pressure between the top and bottom of the object.

How is the buoyant force calculated?

The buoyant force is calculated by multiplying the density of the fluid by the volume of the displaced fluid and the gravitational constant. This is known as Archimedes' principle.

What factors affect the buoyant force?

The buoyant force is affected by the density of the fluid, the volume of the displaced fluid, and the gravitational constant. It is also affected by the size, shape, and weight of the object.

Why does a balloon float in air?

A balloon floats in air because the air inside the balloon is less dense than the surrounding air. This creates a buoyant force that is greater than the weight of the balloon, causing it to rise.

How does the buoyant force change at different altitudes?

The buoyant force does not change at different altitudes, as long as the density of the fluid (in this case, air) remains constant. However, the weight of the object may change due to the change in gravitational force at higher altitudes.

Similar threads

Replies
6
Views
1K
Replies
8
Views
1K
Replies
7
Views
2K
Replies
1
Views
1K
Replies
11
Views
2K
  • Introductory Physics Homework Help
Replies
12
Views
522
  • Introductory Physics Homework Help
Replies
7
Views
3K
  • Introductory Physics Homework Help
Replies
2
Views
914
  • Introductory Physics Homework Help
Replies
13
Views
2K
Back
Top