What is the buoyant force exerted on the balloon in air

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Discussion Overview

The discussion revolves around the application of Archimedes' Principle to determine the buoyant force exerted on a helium-filled balloon in air. Participants explore the calculations involved, including the relevant densities and units.

Discussion Character

  • Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant presents a calculation for the buoyant force using Archimedes' Principle, suggesting a formula involving the density of air, the volume of the balloon, and gravitational acceleration.
  • Another participant confirms the application of Archimedes' Principle, stating that the buoyant force equals the weight of the displaced fluid.
  • Several participants point out errors in the units used in the initial calculation, specifically correcting the use of "km" instead of "kg" for mass and clarifying the correct units for density and gravity.
  • A participant acknowledges the unit error and thanks others for their assistance.

Areas of Agreement / Disagreement

There is agreement on the application of Archimedes' Principle, but disagreement exists regarding the correctness of the initial calculation due to unit errors. The discussion remains unresolved regarding the final calculation of the buoyant force.

Contextual Notes

The discussion highlights limitations related to unit conversions and the importance of correct measurements in calculations. There are unresolved mathematical steps in the initial calculation presented.

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

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