Fluid Mechanics: Pressure and Heads

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Questions and Answers

Which of the following mathematical expressions represents a linear function?

  • y = 5 - 4x (correct)
  • y = 3x^2 + 2
  • y = 7x + 2x^2
  • y = |x| + 1

What property does a variable expression exhibit if it contains both positive and negative terms?

  • Rational
  • Homogeneous
  • Polynomial
  • Inhomogeneous (correct)

What is the primary characteristic of a quadratic equation?

  • It has no constant term
  • It contains only one variable
  • It has at least one squared term (correct)
  • It results in a straight line when graphed

Which of the following describes the graph of an exponential function?

<p>It continuously increases or decreases without bound (A)</p> Signup and view all the answers

Which type of equation can be solved using factoring methods?

<p>Quadratic equations (B)</p> Signup and view all the answers

Flashcards

String

A sequence of characters, treated as a single unit.

Character

A data type that represents a single character, typically a letter, number, or symbol.

String Terminator

A special character that indicates the end of a string, often a null character.

String Concatenation

The process of combining two or more strings into a single string.

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String Substring

The process of extracting a portion of a string.

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Study Notes

Pressure and Heads

  • Pressure is the measurement of force of water on a surface area, usually 1 square inch.
  • Head is the height or column of water.
  • PSI (Pounds per square inch) is a unit of pressure.
  • PSI(A) (Pounds per square inch absolute) measures actual weight, including atmospheric pressure.
  • PSI(G) (Pounds per square inch gauge) measures actual gauge pressure only.
  • 1 cubic foot of water weighs 62.5 pounds.
  • 1 cubic foot of water is equal to 6.25 imperial gallons.
  • 1 gallon of water weighs 10 pounds.
  • 1 PSI = 2.31 feet of water
  • 1 inch of water column = 0.036 PSI

Unit Pressure

  • Rule 1: PSI = head in feet x 0.434 PSI
  • Rule 2: Head in feet = PSI x 2.31'

Total Force for Vertical Pipes

  • Total Force = Area in square inches x pressure
  • Total Force = (Ï€R²) x PSI

Total Force for Tanks with Vertical Walls

  • Total Force = Volume in cu.ft. x weight of 1 cubic foot of water
  • Total Force = Length x width x height x 62.5

Review Questions

  • Examples of converting PSI to feet or head to PSI are shown in the provided text.
  • Converting feet of head to pressure.

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