Bernoulli’s Principle and Continuity Equation Quiz
17 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Which equation represents Bernoulli's Principle?

  • Q = A1v1 = volumetric flow rate
  • r1A1v1 = r2A2v2
  • m1 = m2
  • P1 + ½ rv12 W = DKE + DPE + rgy1 = P2 + ½ rv22 + rgy2 (correct)

    • According to the Continuity Equation, what is the condition for mass flowrate in a tube with single entry and single exit point?

  • m1 = m2
  • Q = A1v1 = volumetric flow rate
  • r1A1v1 = r2A2v2 (correct)
  • P1 + ½ rv12 W = DKE + DPE + rgy1 = P2 + ½ rv22 + rgy2

    • What is the main principle behind the continuity equation in fluid dynamics?

  • Pascal's Principle
  • Archimedes' Principle
  • Conservation of energy
  • Conservation of mass (correct)

    • When does a faucet on the second floor of a house have zero water flow even if open?

    <p>When the height exceeds the pressure head</p> Signup and view all the answers

    What happens to the gauge pressure of a faucet located 6.5m above the first floor of a house?

    <p>It increases</p> Signup and view all the answers

    What is the primary focus of Hydrostatics in Fluid Mechanics?

    <p>Fluids at rest</p> Signup and view all the answers

    What is the principle that states any fluid applies buoyant force to an object immersed in it?

    <p>Archimedes' Principle</p> Signup and view all the answers

    In the context of floating objects, what does the Principle of Flotation state?

    <p>The object displaces a weight of fluid greater than its own weight.</p> Signup and view all the answers

    Which principle explains why ships float in water?

    <p>Archimedes' Principle</p> Signup and view all the answers

    Which principle involves the undiminished transmission of pressure in a fluid confined in a container?

    <p>Pascal's Principle</p> Signup and view all the answers

    What is the main concept behind Bernoulli's Principle in Fluid Mechanics?

    <p>Total energy in a fluid system is conserved</p> Signup and view all the answers

    If a submerged object weighs less than the buoyant force acting on it, what will happen to the object?

    <p>It will float to the surface.</p> Signup and view all the answers

    Which principle deals with the transmission of pressure in a confined fluid?

    <p>Pascal's Principle</p> Signup and view all the answers

    In which situation will an object float in a fluid?

    <p>Weight of object is less than buoyant force.</p> Signup and view all the answers

    What does the Continuity Equation in Fluid Mechanics describe?

    <p>The conservation of mass in fluid flow</p> Signup and view all the answers

    How does Archimedes' Principle relate to the floating of large ships?

    <p>It provides an understanding of why ships can float</p> Signup and view all the answers

    What happens to the pressure in a fluid when its velocity increases according to Bernoulli's Principle?

    <p>Pressure decreases with increased velocity.</p> Signup and view all the answers

    Study Notes

    Bernoulli's Principle and Equation

    • Bernoulli's Principle: the pressure in a fluid decreases with increased velocity of the fluid
    • Bernoulli's Equation: P1 + ½rv12 + rgy1 = P2 + ½rv22 + rgy2
    • Continuity Equation: m1 = m2, r1A1v1 = r2A2v2 for an incompressible fluid, where Q = A1v1 = volumetric flow rate

    Fluid Mechanics

    • Definition: substances that yield readily to any force that alters its shape and therefore flows
    • Types: liquids or gases
    • Kinds of Fluid Mechanics:
      • Hydrostatics: for fluids at rest
      • Fluid Kinematics: for fluids in motion

    Archimedes' Principle

    • Any fluid applies buoyant force to an object that is partially or completely immersed in it
    • Buoyant Force (BF): force equal to the weight of the fluid that the object displaces
    • BF = rVg, where r = density of fluid and V = volume of object
    • Conditions for sinking, floating, or remaining at a level:
      • weight of submerged object > BF, object will sink
      • weight of submerged object = BF, object will remain at a level
      • weight of submerged object < BF, object will float to the surface

    Principle of Flotation

    • A floating object displaces a weight of fluid equal to its own weight

    Pascal's Principle

    • The pressure applied to a fluid confined in a container is transmitted undiminished throughout the fluid and acts in all directions
    • Hydraulic Jack: an application of Pascal's Principle

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

    Test your knowledge on Bernoulli’s Principle, Bernoulli’s Equation, and the Continuity Equation. Topics covered include fluid flow, mass flow rate, and volumetric flow rate calculations. Example problems from Cutnell (9th Ed) 11-85 are included in this quiz.

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser