Calculating Volume Flow Rate for Apartment Building Faucet - 102 kPa Pressure

AI Thread Summary
To calculate the volume flow rate of water from a faucet supplied by a pump with a gauge pressure of 102 kPa, the relevant parameters include the height of 10m, the faucet's cross-sectional area of 2.0 cm², and the properties of water. The discussion highlights confusion regarding the variables used in the flow rate equation, particularly the absence of definitions for Pa and Pb, and the unclear role of the gauge pressure in the calculations. Participants seek clarification on whether the pump is volumetric and express the need for specific figures to proceed with the calculations. The conversation emphasizes the importance of correctly applying fluid dynamics principles to determine the flow rate accurately. Understanding these variables is crucial for solving the problem effectively.
alexito01
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I need help with flow rate please!

Homework Statement



A pump at ground level creates a gauge pressure of 102 kPa in the water line supplying an apartment building. The water leaves the tank into a pipe at a negligible speed. It travels 10m up through the building and exits through a faucet. The cross sectional area of the faucet is 2.0cm2. (use for water density ρ=1000kg/m3 and acceleration of g=10m/s2). What is the volume flow rate of water leaving the faucet in cm3/s ?


Homework Equations





The Attempt at a Solution


Q=A+((2)[(Pa-Pb)-(pgh)]/p)^1/2
 
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alexito01 said:
Q=A+((2)[(Pa-Pb)-(pgh)]/p)^1/2

Hi alexito01! :smile:

Can you put the figures in, please?

It's difficult for us to work out what the letters refer to. :confused:
 


I have a question: is this a volumetric pump?

Why is there a plus sign after A?
Where has the 102 kPa gone to?
What's Pa and Pb? They aren't mentioned in the statement.
 
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