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

  • Thread starter Thread starter lurifax1
  • Start date Start date
  • Tags Tags
    Bernoulli
Click For Summary

Homework Help Overview

The discussion revolves around a problem related to Bernoulli's principle and water flow from a tank. The original poster is attempting to derive a mathematical expression for water flow based on measurements taken at different heights from the tank's bottom to the pipe exit.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster presents equations involving a constant and height, expressing concern over differing values of the constant for two scenarios. They question whether to derive a function from the two measurements or to gather more data for a more accurate representation.

Discussion Status

Participants are engaging in a dialogue about the assumptions made in the original poster's approach. Some have pointed out the need for clarity in the problem setup and have encouraged the poster to share their working to facilitate further discussion. There is an exploration of the implications of having two independent equations with two unknowns.

Contextual Notes

The original poster has provided specific measurements and equations but has not included a complete diagram or all necessary details, which some participants have noted as a potential issue for clarity.

lurifax1
Messages
7
Reaction score
0

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
 
Physics news on Phys.org
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.
 
  • Like
Likes   Reactions: rude man and haruspex
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.
 

Similar threads

Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
6K
Replies
2
Views
10K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 2 ·
Replies
2
Views
12K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K