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

    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 = (πR²) 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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    Week 2 PDF

    Description

    This quiz covers the principles of pressure and heads in fluid mechanics, including the calculation of PSI and the total force for vertical pipes and tanks. Understand how pressure is measured and the relation between pressure and the height of water columns. Test your knowledge with review questions based on these concepts.

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