Question #272848

Determine the size of spherical balloon required to lift a payload of 1360 kg. The gas to be used is Helium at

101.3 Kpa and 23 0 C. The surrounding air is 101.3 KPa and 10 0 C.


1
Expert's answer
2021-11-29T11:42:09-0500

FA=F,F_A=F,

ρgV=mg,\rho g V=mg,

ρV=m,\rho V=m,

V=mρ,V=\frac m{\rho},

V=πd36,V=\frac{\pi d^3}6,

d=6mπρ3,d=\sqrt[3]{\frac{6m}{\pi \rho}},

d=24.7 m.d=24.7~m.


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