The true weight of an object can be measured in a vacuum, where buoyant forces are absent. A measurement in air, however, is disturbed by buoyant forces. An object of volume V is weighed in air on an equal-arm balance with the use of counterweights of density p. Representing the density of air as Pair and the balance reading as F, show that the true weight Fis F' F = F'+ (v- V Pairg Pg,

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 110AP: In an immersion measurement of a woman's density, she is found to have a mass of 62.0 kg in air an...
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The true weight of an object can be measured in a vacuum,
where buoyant forces are absent. A measurement in air,
however, is disturbed by buoyant forces. An object of volume
V is weighed in air on an equal-arm balance with the use
of counterweights of density p. Representing the density of
air as Pair and the balance reading as F, show that the true
weight Fis
F'
F = F'+
(v-
V
Pairg
Pg,
Transcribed Image Text:The true weight of an object can be measured in a vacuum, where buoyant forces are absent. A measurement in air, however, is disturbed by buoyant forces. An object of volume V is weighed in air on an equal-arm balance with the use of counterweights of density p. Representing the density of air as Pair and the balance reading as F, show that the true weight Fis F' F = F'+ (v- V Pairg Pg,
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