Relative Equilibrium in Fluid Mechanics
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Questions and Answers

What is the primary condition for a liquid to be in relative equilibrium during rotation?

  • The vessel must rotate uniformly with acceleration.
  • The net external torque acting on the liquid is zero. (correct)
  • The liquid must be in a state of uniform acceleration.
  • The vessel must be rotating in a circular motion.

    • What is the purpose of ensuring the vessel containing the liquid remains stable and securely anchored?

  • To allow for external disturbances to affect the liquid.
  • To increase the centrifugal force on the liquid.
  • To decrease the pressure gradient within the liquid.
  • To prevent movement or instability that can disrupt the equilibrium of the liquid. (correct)

    • What is the principle that applies to a system consisting of a vessel and a liquid in relative equilibrium?

  • Conservation of linear momentum.
  • Conservation of energy.
  • Conservation of mass.
  • Conservation of angular momentum. (correct)

    • What should be avoided or minimized to maintain relative equilibrium?

    <p>External disturbances such as vibrations or changes in gravitational forces.</p> Signup and view all the answers

    What are some factors that affect relative equilibrium?

    <p>Pressure gradient, gravity, viscous effects, external forces, and boundary conditions.</p> Signup and view all the answers

    What is the condition where the entire system, including the container and the liquid, undergoes uniform accelerated motion?

    <p>Relative equilibrium</p> Signup and view all the answers

    What characterizes the fluid particles in relative equilibrium?

    <p>They are at rest relative to each other</p> Signup and view all the answers

    What is the state where a fluid element is completely at rest relative to its surroundings?

    <p>Static equilibrium</p> Signup and view all the answers

    What is absent in a mass of liquid in relative equilibrium?

    <p>Shear stress</p> Signup and view all the answers

    What is an example of relative equilibrium?

    <p>The flow of a river observed from a moving boat</p> Signup and view all the answers

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