SUMMARY
The minimum volume required for a helium-filled balloon to lift off with a total load of 320 kg (80 kg for the balloon and 240 kg for the load) is determined by applying Archimedes' principle. The density of helium is 0.178 kg/m³, while the density of the surrounding air is 1.29 kg/m³. The balloon will float when the weight of the displaced air equals the total weight of the balloon and its load. Thus, the volume of helium must equal the volume of air displaced, leading to the equation: V = (mass of balloon + load) / density of air.
PREREQUISITES
- Understanding of Archimedes' principle
- Basic knowledge of density calculations
- Familiarity with mass and volume relationships
- Ability to manipulate algebraic equations
NEXT STEPS
- Calculate the minimum volume of helium required using the formula V = (mass of balloon + load) / density of air.
- Explore the implications of varying the density of helium and air on lift-off volume.
- Investigate the effects of balloon material on overall weight and lift capacity.
- Learn about real-world applications of buoyancy in various engineering fields.
USEFUL FOR
Students studying physics, engineers working on buoyancy-related projects, and anyone interested in the principles of lift and gas densities.