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Consider a large, helium-filled party balloon with a volume of 1.23 ft^3. The lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon. Using this fact, we can derive Archimedes' principle, namely that the upward force on the balloon is equal to the weight of the air displaced by the balloon. Assuming that the balloon is at sea level, where the air density is 0.002377 slug/ft^3 , and the latex and string used to make it is weightless. Calculate the minimum number of balloons needed to carry Mr. Fredriksen's house which weighs 141,300 Ibs. Note: Assume that the molecular weight of air is 28.93 g/mol and that of helium is 4.008 g/mol.

Consider a large, helium-filled party balloon with a volume of 1.23 ft^3. The lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon. Using this fact, we can derive Archimedes' principle, namely that the upward force on the balloon is equal to the weight of the air displaced by the balloon. Assuming that the balloon is at sea level, where the air density is 0.002377 slug/ft^3 , and the latex and string used to make it is weightless. Calculate the minimum number of balloons needed to carry Mr. Fredriksen's house which weighs 141,300 Ibs. Note: Assume that the molecular weight of air is 28.93 g/mol and that of helium is 4.008 g/mol.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Consider a large, helium-filled party balloon with a volume of 1.23 ft^3. The lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon. Using this fact, we can derive Archimedes' principle, namely that the upward force on the balloon is equal to the weight of the air displaced by the balloon. Assuming that the balloon is at sea level, where the air density is 0.002377 slug/ft^3 , and the latex and string used to make it is weightless. Calculate the minimum number of balloons needed to carry Mr. Fredriksen's house which weighs 141,300 Ibs. Note: Assume that the molecular weight of air is 28.93 g/mol and that of helium is 4.008 g/mol.
Transcribed Image Text:Consider a large, helium-filled party balloon with a volume of 1.23 ft^3. The lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon. Using this fact, we can derive Archimedes' principle, namely that the upward force on the balloon is equal to the weight of the air displaced by the balloon. Assuming that the balloon is at sea level, where the air density is 0.002377 slug/ft^3 , and the latex and string used to make it is weightless. Calculate the minimum number of balloons needed to carry Mr. Fredriksen's house which weighs 141,300 Ibs. Note: Assume that the molecular weight of air is 28.93 g/mol and that of helium is 4.008 g/mol.
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