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

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SUMMARY

The discussion focuses on calculating the volume flow rate of water from a faucet supplied by a pump generating a gauge pressure of 102 kPa. The problem involves a vertical rise of 10 meters and a faucet cross-sectional area of 2.0 cm². Key equations include the Bernoulli equation, which relates pressure, height, and flow velocity. Clarifications were sought regarding the variables used in the equation, specifically Pa and Pb, and the nature of the pump.

PREREQUISITES
  • Understanding of fluid dynamics principles, particularly Bernoulli's equation.
  • Knowledge of pressure units, specifically kilopascals (kPa).
  • Familiarity with basic physics concepts such as density and gravitational acceleration.
  • Ability to perform unit conversions, especially between cm² and m².
NEXT STEPS
  • Study the application of Bernoulli's equation in fluid flow problems.
  • Learn about volumetric flow rate calculations in hydraulic systems.
  • Research the characteristics and types of pumps, including volumetric pumps.
  • Explore the impact of pressure differences on flow rates in plumbing systems.
USEFUL FOR

Students in engineering or physics, plumbing professionals, and anyone involved in fluid mechanics or hydraulic system design will benefit from this discussion.

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.
 
Last edited:

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