Bernoulli's Equation of water tower

AI Thread Summary
The discussion focuses on applying Bernoulli's Equation to determine the absolute pressure at point 1 in a water tower scenario and calculate the volume flow rate. For part (b), the equation is set up, but the user struggles with two variables, pressure (p1) and velocity (v), while recognizing that point 1 is open to the atmosphere, which influences the pressure. The user seeks assistance in solving for p1 given the conditions. Part (c) involves calculating the volume flow rate using the effective cross-sectional area of the valve opening. The conversation emphasizes understanding Bernoulli's principles in practical applications.
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Homework Statement


The water tower in the drawing is drained by a pipe that extends to the ground. The flow is nonviscous.

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(b) What is the absolute pressure at point 1 when the valve is opened and the water is flowing? Assume that the water speed at point 2 is negligible.

(c) Assuming the effective cross-sectional area of the valve opening is 2.09 multiplied by 10-2 m2, find the volume flow rate at point 1.



Homework Equations





The Attempt at a Solution


For part b:

p1 +density(g)(y) + .5(density)(v)^2 = p2 +density(g)(y) + .5(density)(v)^2
p1 + 0 + .5(1000)v^2 = 101000 + 1000(9.8)(15)

I have two variables p1 and v, so how can I solve this?
 

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Anyone?
 
The fact that point 1 is essentially open to the atmosphere (hint, hint) dictates what the pressure is there.
 
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