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. (C)</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. (C)</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 (A)</p> Signup and view all the answers

What characterizes the fluid particles in relative equilibrium?

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

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

<p>Shear stress (C)</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 (D)</p> Signup and view all the answers

Flashcards

Liquid equilibrium in rotation

A state where a liquid is not moving in relation to its container during rotation. No external forces are disrupting its stillness.

Stable vessel

A container that isn't moving or tilting, holding the liquid steady.

Angular momentum

The property of a body in motion that resists changes in its spinning.

External disturbances

Factors like vibrations or gravity changes that mess with the liquid's stillness.

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Relative equilibrium

A system where the liquid and container are moving uniformly together.

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Fluid particles

Small pieces of liquid that are not moving compared to each other.

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Static equilibrium

A state where there is no movement of the fluid at all.

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Shear stress

Force that distorts a fluid.

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Net external torque

The overall turning force on a spinning object.

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Factors influencing equilibrium

Things like pressure, gravity, friction, and external forces affect a liquid's stillness.

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