1.

The volume of a balloon is 1000m^(3). It is filled with helium of density 0.18kgm^(-3). What maximum load can it life. Density of air is 1.29kgm^(-3)

Answer»

Solution :GIVEN volume of balloon `V=1000m^(3)`
density of helium `rho=0.18kgm^(-3)`
density of air `=1.29kgm^(-3)`
WEIGHT of helium FILLED balloon
`=Vxxrhoxxg=1000xx0.18xxg`
`=180gN=180` kgf
Weight of air displaced = upthrust
`=Vxx"density of air"xxg`
`=1000xx1.29xxg`
`=1290gN=1290kgf`
RESULTANT upward force on balloon
= upthrust-weight of balloon
`=1290-18=110` kgf
So it can life a maximum LOA d of 1110 kgf.


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