Is There an Error in My Bernoulli and Waterflow Homework Solution?

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The discussion revolves around a homework problem involving Bernoulli's principle and water flow from a tank. The user is attempting to derive a function for water flow based on measurements taken from two different heights, but is encountering inconsistencies in the constant 'k' when applying their equations. There is a suggestion that the user should post their calculations to clarify their approach. The importance of having consistent solutions for the two equations is emphasized, indicating that further analysis or additional measurements may be necessary. Overall, the user seeks guidance on how to correctly model the water flow based on their experimental data.
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Homework Statement


http://imgur.com/rhaQabj
radius of watertank = 5.5cm

Homework Equations


https://en.wikipedia.org/wiki/Bernoulli's_principle
https://en.wikipedia.org/wiki/Darcy–Weisbach_equation

The Attempt at a Solution


I've tried to put up to equations on the form:
134=k*sqrt(x+0.6), 75=k*sqrt(x+0.3).

Where k is the constant and x is the height from the bottom of the tank to the exit of the pipe.
I think something must be wrong in my assumptions since I get different k values for the two situations
 
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lurifax1 said:

Homework Statement


http://imgur.com/rhaQabj
radius of watertank = 5.5cm

Homework Equations


https://en.wikipedia.org/wiki/Bernoulli's_principle
https://en.wikipedia.org/wiki/Darcy–Weisbach_equation

The Attempt at a Solution


I've tried to put up to equations on the form:
134=k*sqrt(x+0.6), 75=k*sqrt(x+0.3).

Where k is the constant and x is the height from the bottom of the tank to the exit of the pipe.
I think something must be wrong in my assumptions since I get different k values for the two situations
Is there a question here?

Simply posting a diagram is insufficient. This is Physics Forums, not Psychics Forums.
 
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I'm sorry for not being clear. I want to find a function for the waterflow out from the tank depending on the height of the tank. I've already measured the flow out from two different heights. I was wondering if I should try to find a mathematical expression for it based on these two values, or simply find more measurements and linearize it.
 
lurifax1 said:
Where k is the constant and x is the height from the bottom of the tank to the exit of the pipe.
I think something must be wrong in my assumptions since I get different k values for the two situations
Please post your working. You have two independent linear equations with two unknowns (x, k2), so it would be very strange if there is no consistent solution.
 
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