Q4. Balloons are often filled with helium gas (Figure 4) because it weighs only about one-seventh of what air weights under identical conditions. The buoyancy force, which can be expressed as F = Pair: g. Vballoon, will push the balloon upward. If the balloon has a diameter of 10 m and carries two people, 70 kg each, determine the acceleration of the balloon when it is first released. Assume the density of air is p is 1.16 kg/m³, and neglect the weight of the ropes and the cage.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.5P: Evaluate the dimensionless groups hcD/k,UD/, and cp/k for water, n-butyl alcohol, mercury, hydrogen,...
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Q4. Balloons are often filled with helium gas (Figure 4) because it weighs only about one-seventh of
what air weights under identical conditions. The buoyancy force, which can be expressed as
F = Pair- g. Vpalloon, will push the balloon upward. If the balloon has a diameter of 10 m and
carries two people, 70 kg each, determine the acceleration of the balloon when it is first
released. Assume the density of air is p is 1.16 kg/m³, and neglect the weight of the ropes and
the cage.
HELIUM
D = 10 m
PHe =Pair
m = 140 kg
Figure 4
Transcribed Image Text:Q4. Balloons are often filled with helium gas (Figure 4) because it weighs only about one-seventh of what air weights under identical conditions. The buoyancy force, which can be expressed as F = Pair- g. Vpalloon, will push the balloon upward. If the balloon has a diameter of 10 m and carries two people, 70 kg each, determine the acceleration of the balloon when it is first released. Assume the density of air is p is 1.16 kg/m³, and neglect the weight of the ropes and the cage. HELIUM D = 10 m PHe =Pair m = 140 kg Figure 4
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