On October 21, 2001, Ian Ashpole of the United Kingdom achieved a record altitude of 3.35 km (11 000 ft) powered by 600 toy balloons filled with helium. Each filled balloon had a radius of about 0.54 m and an estimated mass of 0.27 kg. (a) Estimate the total buoyant force on the 600 balloons.

buoyant force = 4.160 kN

Explanation:

given data

altitude = 3.35 km

toy balloon = 600

radius r = 0.54 m

mass m = 0.27 kg

to find out

total buoyant force

solution

we will apply here buoyant force formula that is

buoyant force for 600 = 600 * ρ * g * v ... 1

here v volume = 4/3 * π * r³ = 4/3 * π * 0.52³ = 0.5889

and ρ = 1.20 kg/m³

so

buoyant force for 600 = 600 * ρ * g * v

buoyant force for 600 = 600 * 1.20 * 9.81 * 0.5889

buoyant force = 4160.06 N

buoyant force = 4.160 kN