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A spherical balloon with a diameter of 10 m, shown in the figure below is used for advertisements. The balloon is filled with helium (RHe = 2.08 kJ/kg⋅K) at ambient conditions of 15°C and 100 kPa. Assuming no disturbances due to wind, the maximum allowable weight (in Newton) of balloon material and rope required to avoid the fall of the balloon (Rair = 0.289 kJ/kg ⋅K) is _____
Correct answer is '5306'. Can you explain this answer?
Most Upvoted Answer
A spherical balloon with a diameter of 10 m, shown in the figure below...
Density of helium
Under the equilibrium condition,
Buoyant force
= Weight of balloon + Weight of Helium
ρair  × (Volume of balloon) g
= Wballoon + ρHelium × (Vol. of balloon) g
Weight of balloon
= (ρair – ρHelium) × Vballoon × g
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Community Answer
A spherical balloon with a diameter of 10 m, shown in the figure below...
Density of helium
Under the equilibrium condition,
Buoyant force
= Weight of balloon + Weight of Helium
ρair  × (Volume of balloon) g
= Wballoon + ρHelium × (Vol. of balloon) g
Weight of balloon
= (ρair – ρHelium) × Vballoon × g
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A spherical balloon with a diameter of 10 m, shown in the figure below is used for advertisements. The balloon is filled with helium (RHe = 2.08 kJ/kg⋅K) at ambient conditions of 15°C and 100 kPa. Assuming no disturbances due to wind, the maximum allowable weight (in Newton) of balloon material and rope required to avoid the fall of the balloon (Rair = 0.289 kJ/kg ⋅K) is _____Correct answer is '5306'. Can you explain this answer?
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