A spherical balloon has a radius of 6.75 m and is filled with helium. The densit

Question

A spherical balloon has a radius of 6.75m and is filled with helium. The density of helium is 0.179 kg/m3, and the density of air is 1.29 kg/m3. The skin and structure of the balloon has a mass of 960kg . Neglect the buoyant force on the cargo volume itself.Determine the largest mass of cargo the balloon can lift.

A spherical balloon has a radius of 6.75m and is filled with helium. The density of helium is 0.179 kg/m3, and the density of air is 1.29 kg/m3. The skin and structure of the balloon has a mass of 960kg . Neglect the buoyant force on the cargo volume itself.Determine the largest mass of cargo the balloon can lift.

Explanation / Answer

balancing forces

maximum force it can lift = buoyant on balloon - its mass = volume*(density of air-density of helium) - mass of structure = 1288.24*(1.29 - 0.179) - 960kg= 1431.24 kg -960 kg = 471.24 kg

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