24. (a) Using Bernoulli's equation, show that the measured fluid speed v for a pitot tube, like the one in Figure 12.7(b), 1/2 2p'gh` is given by v = where h is the height of the manometer fluid, p' is the density of the manometer fluid, p is the density of the moving fluid, and g is the acceleration due to gravity. (Note that v is indeed proportional to the square root of h, as stated in the text.) (b) Calculate v for moving air if a mercury manometer's h is 0.200 m.

University Physics Volume 1
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Chapter14: Fluid Mechanics
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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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24. (a) Using Bernoulli's equation, show that the measured
fluid speed v for a pitot tube, like the one in Figure 12.7(b),
1/2
2p'gh`
is given by v =
where h is the height of the manometer fluid, p' is the
density of the manometer fluid, p is the density of the
moving fluid, and g is the acceleration due to gravity. (Note
that v is indeed proportional to the square root of h, as
stated in the text.) (b) Calculate v for moving air if a mercury
manometer's h is 0.200 m.
Transcribed Image Text:24. (a) Using Bernoulli's equation, show that the measured fluid speed v for a pitot tube, like the one in Figure 12.7(b), 1/2 2p'gh` is given by v = where h is the height of the manometer fluid, p' is the density of the manometer fluid, p is the density of the moving fluid, and g is the acceleration due to gravity. (Note that v is indeed proportional to the square root of h, as stated in the text.) (b) Calculate v for moving air if a mercury manometer's h is 0.200 m.
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