How Fast Can Water Flow from a Kitchen Faucet on the Third Floor?

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SUMMARY

The discussion focuses on calculating the maximum velocity of water flowing from a kitchen faucet located on the third floor, given a gauge pressure of 170 KPa at street level and a height of 15 meters. The relevant equation derived from Bernoulli's principle is p1 + 1/2 ρ G v1² + ρ G H1 = p2 + 1/2 ρ G v2² + ρ G H2. The correct interpretation of p2 as atmospheric pressure is crucial for solving the problem, leading to a maximum velocity of 6.8 m/s for the water emerging from the faucet.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of gauge pressure and atmospheric pressure
  • Basic principles of fluid dynamics
  • Familiarity with units of pressure (KPa) and velocity (m/s)
NEXT STEPS
  • Study Bernoulli's equation in detail
  • Learn about gauge pressure vs. absolute pressure
  • Explore fluid dynamics concepts such as flow rate and velocity profiles
  • Investigate practical applications of fluid dynamics in plumbing systems
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Students studying fluid dynamics, engineers working on plumbing systems, and anyone interested in the physics of fluid flow in residential buildings.

lch20yy
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Homework Statement



water in main pipe at the street level is at a gauge pressure of 170 KPa and is moving with neglibible speed. A pipe connected to the main pipe is used to deliver the water to kitchen located on the third floor of a building, at a 15-m height from the street level. what is the maximum possible velocity with which the water can emerge from an open kitchen faucet?

Homework Equations



p1+1/2 rho G v^2+rho G H = p2 + 1/2 rho G v^2 + rho G H

The Attempt at a Solution



i have the equation p1=p2+1/2(rho)GV^2+(rho)G H
since p1 speed is negligible and height is 0. I am not sure abount what p2 is. is it the atmosphere pressure?
the answer is 6.8m/s, but i can't get the answer. pls help
 
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lch20yy said:
p1+1/2 rho G v^2+rho G H = p2 + 1/2 rho G v^2 + rho G H
A spare couple of Gs in there.
I am not sure abount what p2 is. is it the atmosphere pressure?
P1 is given as gauge pressure, which means it's the additional pressure beyond atmospheric. So what do you think you should use for P2?
 
ok i got this ... i got the equation wrong
 

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