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

In summary, the problem involves determining the maximum possible velocity of water flowing out of an open kitchen faucet connected to a main pipe at street level. Using the equation p1=p2+1/2(rho)GV^2+(rho)G H, where p1 is the gauge pressure at the main pipe and p2 is the atmospheric pressure, and considering negligible speed and height at the main pipe, the maximum velocity is found to be 6.8m/s.
  • #1
lch20yy
5
0

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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  • #2
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?
 
  • #3
ok i got this ... i got the equation wrong
 

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