Calculate Volume Flow Rate in Ideal Liquid Flow: Homework Solution

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To calculate the volume flow rate in ideal liquid flow between two horizontal tubes with differing radii and pressure, apply the principles of fluid dynamics, specifically Bernoulli's equation and the continuity equation. The density of the liquid is 810 kg/m3, and the radii of the tubes are 1.60 cm and 0.800 cm. The volume flow rate can be expressed as a function of the pressure difference (ΔP) between the two tubes. Understanding the relationship between pressure, velocity, and cross-sectional area is crucial for solving this problem. This discussion emphasizes the need to apply fundamental fluid mechanics principles to derive the solution.
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Homework Statement


In ideal flow, a liquid of density 810 kg/m3 moves from a horizontal tube of radius 1.60 cm into a second horizontal tube of radius 0.800 cm at the same elevation as the first tube. The pressure differs by ΔP between the liquid in one tube and the liquid in the second tube.
(a) Find the volume flow rate as a function of ΔP.

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The Attempt at a Solution


Completely lost, not sure where to start.
 
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Ok. What is the principle that deals with ideal fluids in motion?
 
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