Calculating Buoyant Force on a Helium-Filled Balloon

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SUMMARY

The discussion focuses on calculating the buoyant force acting on a helium-filled balloon with a mass of 0.0135 kg and a radius of 0.400 m. The helium has a density of 0.181 kg/m³. To determine the tension in the line fastening the balloon, the relationship between buoyant force (upthrust) and weight must be established, specifically using the formula: Upthrust - Weight = Tension. Participants are encouraged to show their calculations to facilitate assistance.

PREREQUISITES
  • Understanding of buoyant force principles
  • Basic knowledge of density and mass calculations
  • Familiarity with the formula for tension in a suspended object
  • Ability to perform volume calculations for a sphere
NEXT STEPS
  • Calculate the volume of the helium-filled balloon using the formula for the volume of a sphere.
  • Determine the buoyant force using the formula: Buoyant Force = Volume × Density of fluid (air).
  • Calculate the weight of the helium-filled balloon using the formula: Weight = Mass × Gravitational Acceleration.
  • Apply the tension formula: Tension = Buoyant Force - Weight to find the tension in the line.
USEFUL FOR

Students in physics, educators teaching buoyancy concepts, and anyone interested in understanding the mechanics of buoyant forces in gases.

amjber2
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buoyant forces

I was having trouble with this problem. please let me know how to approach this. thanks.

An empty rubber balloon has a mass of 0.0135 kg. The balloon is filled with helium at a density of 0.181 kg/m3. At this density the balloon is spherical with a radius of 0.400 m. If the filled balloon is fastened to a vertical line, what is the tension in the line?
 
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You should show some of ur workings b4 we can help. Alright, just a little clue to get u started. Upthrust- weight= tension of string.
 

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