How Is the Throat's Cross-Sectional Area Determined Using Bernoulli's Principle?

AI Thread Summary
To determine the throat's cross-sectional area using Bernoulli's principle, the problem involves air flowing at 100 mph through a duct that narrows to a throat section, with a pressure difference of 7 inches of water measured by a U-tube. The air is treated as incompressible with a density of 0.002378 slug per cubic foot. The relevant equations include Bernoulli's equation and the equation of continuity, which relate pressure, velocity, and cross-sectional area. The final calculated area of the throat is 2.57 square feet. Understanding these principles is essential for solving similar fluid dynamics problems.
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Homework Statement



air is flowing horizontally at a speed of 100 mph through a duct 4 square feet in cross section. the duct gradually narrows down to a throat section. if a U-tube shows a difference in pressure between the throat and main sections of 7 inch of water, what is the cross sectional area of the throat? (assume that the air is incompressible and has a density of 0.002378 slug per cubic feet)

Homework Equations


The Attempt at a Solution


i already have the final answer and it is

2.57 square/feet

but i need the solution... T_T.. help

Homework Statement


Homework Equations


The Attempt at a Solution

 
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For a horizontal pipe what is Bernoulli's equation reduced to?

When you get that formula you can find the velocity leaving the throat section.

Do you know the equation of continuity?
 
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