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

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In summary, the conversation discusses finding a function for the water flow out of a tank based on its height. The initial attempt involved using two equations with a constant and height variable, but this led to different constant values for two different measurements. The individual is seeking guidance on how to approach finding a mathematical expression for the water flow, as well as requesting feedback on their assumptions and potential solutions.
  • #1
lurifax1
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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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  • #2
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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  • #3
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.
 
  • #4
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.
 

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

What is the Bernoulli principle?

The Bernoulli principle states that as the speed of a fluid (such as water) increases, the pressure exerted by the fluid decreases.

How does Bernoulli's principle relate to water flow?

Bernoulli's principle is applicable to all fluids, including water. It explains the relationship between the speed of water flow and the pressure exerted by the water.

How is Bernoulli's equation used to calculate water flow?

Bernoulli's equation is a mathematical relationship that can be used to calculate the flow rate of water through a pipe or channel. It takes into account factors such as the velocity of the water, the pressure at different points, and the cross-sectional area of the pipe.

Can Bernoulli's principle be applied to all types of water flow?

Yes, Bernoulli's principle can be applied to all types of water flow, including laminar flow (smooth, orderly flow) and turbulent flow (chaotic, irregular flow).

How is Bernoulli's principle used in real-world applications?

Bernoulli's principle has many practical applications, including in the design of aircraft wings, airfoils, and other aerodynamic surfaces. It is also used in the design of water turbines, carburetors, and other fluid-based systems. Additionally, it is used in weather forecasting and understanding the flow of blood in the human body.

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