Explanation Given: Total mass of the helium balloon, m b = 3 k g Height of the balloon, h = 5500 m Concept Used: Archimedes principle states that upward buoyant force exerted on a body partially or fully submerged in a fluid, is equal to the weight of the displaced fluid by the body. Mathematically, it can be represented by, Buoyancy force, F = γ ⋅ V Where, V is the volume of the water displaced and γ to the specific weight of water. For equilibrium, the weight of the balloon must be equal to the buoyancy force acting on the balloon. Calculation: Let, d be the diameter of the helium balloon. Buoyancy force acting on the helium balloon is F = γ ⋅ V = ρ ⋅ g ⋅ V . Where, ρ is the mass density and g is the acceleration due to gravity. Weight of the balloon is W b = m b ⋅ g . For equilibrium, the weight of the balloon must be equal to the buoyancy force acting on the balloon

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ISBN: 9789385965494

Author: Frank White

Publisher: MCGRAW-HILL HIGHER EDUCATION

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Chapter 2, Problem 2.106P

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The diameter of the helium balloon if its mass is 3kg and settles calm in a standard atmosphere at an altitude of 5500 m.

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Chapter 2, Problem 2.105P

Chapter 2, Problem 2.107P

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The diameter of the helium balloon if its mass is 3 k g and settles calm in a standard atmosphere at an altitude of 5500 m .

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The diameter of the helium balloon if its mass is 3kg and settles calm in a standard atmosphere at an altitude of 5500 m.

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Chapter 2 Solutions