Solve Water Flow in Pipes: Pressure on 2nd Floor

AI Thread Summary
The discussion focuses on solving for the gauge pressure of water on the second floor of a two-story apartment, given the pressure and speed of water on the first floor. Bernoulli's equation is suggested as the method to find the solution, emphasizing that the change in pipe diameter affects water speed but not the application of the equation. Participants clarify that the density of water, denoted as rho, is a standard value used in calculations. The key takeaway is that all necessary information is provided to determine the pressure on the second floor. Understanding the relationship between pressure, speed, and height is crucial for solving the problem effectively.
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[SOLVED] Water flow in pipes

Homework Statement


Water is circulating through a closed system of pipes in a two floor apartment. On the first floor, the water has a gauge pressure of 3.4 x 10^5 Pa and a speed of 2.1 m/s. However, on the second floor, which is 4.0m higher, the speed of the water is 3.7m/s. The speeds are different because the pipe diameters are different. What is the gauge pressure of the water on the second floor?

Homework Equations


A1V1 = A2V2

P1 - .5(rho)(v1)^2 + (rho)gy1 = P2 + .5(rho)gy2

Efinal = Einitial
KEfinal + PE final = KEinitial + PE initial

Wnc = E1 - E2 = (.5mv1^2 + mgy1) - (.5mv2^2 + mgy2)

The Attempt at a Solution

 
Last edited:
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Use Bernoulli's equation to solve it. You have what you need.
 
It doesn't matter that the Area changes?..also, I don't know what rho is? do I just use the standard rho of water?
 
They've already given you all the information you need. If they asked "find the area of the upper tube" then you would care about the fact that the two velocities are different.
 
what about rho though?
 
You know, or should know, the density of water.
 

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