Problem of a tank with a trapezoidal section

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SUMMARY

The discussion focuses on calculating the time it takes for a trapezoidal tank to empty through an orifice with a discharge coefficient of 0.447. The area of the orifice is specified as 1 cm², and gravity is set at 10 m/s². The area of the tank's surface is defined by the equation 8x = 16H, establishing a direct relationship between the height (H) and the horizontal distance (X). Participants emphasize the importance of clearly defining variables and presenting formulas in a readable format for effective problem-solving.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with discharge coefficients
  • Knowledge of trapezoidal geometry
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the principles of fluid dynamics related to tank drainage
  • Learn how to calculate flow rates using discharge coefficients
  • Explore trapezoidal area calculations in engineering contexts
  • Review algebraic manipulation techniques for solving equations
USEFUL FOR

Students in engineering or physics, particularly those studying fluid mechanics, as well as educators looking for practical examples of trapezoidal tank problems.

Queren Suriano
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Homework Statement


In the figure are the dimensions, and the question is the time in which the take will empty
Area of orifice 1 cm2
Discharge coefficient: 0.447
Gravity 10 m/s2

Homework Equations


[/B]
Area of surface = 8x = 8 (2 H) = 16H

The Attempt at a Solution

.

The red lines are the tank. And I prolongate the lines of the section to find the relation between "H" and X.
upload_2015-8-22_18-34-44.png
[/B]
 
A description what you are calculating where (and how your variables are defined) would help. Also, the formulas are much easier to read if you write them here instead of showing the scanned paper.
 

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