A spherical balloon 6m diameter is filled with gas weighing 5.50N/m^3, what is the maximum load, including...

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Civil Engineering

Aspherical balloon 6m diameter is filled with gas weighing5.50N/m^3, what is the maximum load, including its own weight thatthe balloon can lift?

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3.7 Ratings (498 Votes)

Ans: Given that , d= 6m , density = 0.561 kg/mÂ³ and density of air = 1.225 kg/mÂ³

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Volume = (4/3)*Ï€*rÂ³

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = (4/3)*3.14*(3)Â³ = 113.04 mÂ³

Weight of balloon = volume x density

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 113.04*0.561 = 63.42 kg

Mass of displaced air = 113.04*1.225 = 138.474 kg

Weight of displaced air = 138.272 * 9.81 = 1358.43 N

Maximum load the balloon can carry = 1358.43/9.81 = 138.474kg + self weight

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 138.474+63.42 = 201.894 kg

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