Physics Quiz: Fluid Pressure and Buoyancy
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Questions and Answers

What is the law that states that a certain pressure applied at any point in a fluid at rest is equally transmitted in all directions and to every other point in the fluid?

  • Stokes law
  • Archimedes principle
  • Pascal's law (correct)
  • Newton's law

What happens to the water level in a vessel if a block of ice floating over water in it slowly melts?

  • It increases
  • It increases or decreases depending on temperature
  • It remains the same (correct)
  • It decreases

Which set of conditions clearly applies to an ideal fluid?

  • Non-viscous and compressible
  • Viscous and compressible
  • Viscous and incompressible
  • Non-viscous and incompressible (correct)

What does the existence of velocity potential imply about the flow of a fluid?

<p>Flow is irrotational (A)</p> Signup and view all the answers

What is the absolute pressure in a vessel if the reading of the pressure gauge is 25 bars and the atmospheric pressure is 1.03 bar?

<p>26.03 bar (C)</p> Signup and view all the answers

What principle is the Euler's equation of motion for the flow of an ideal fluid derived from?

<p>Conservation of momentum and the fluid as incompressible and inviscid (D)</p> Signup and view all the answers

Flashcards

Pascal's Law

A fundamental principle in fluid mechanics stating that pressure applied to an enclosed fluid is transmitted undiminished to every point within the fluid.

Floating Ice & Water Level

When a block of ice floating in a vessel melts, the water level remains the same because the ice displaces the same volume of water as its melted equivalent.

Ideal Fluid

A theoretical fluid with no viscosity (no internal friction) and incompressibility (constant density).

Velocity Potential

A mathematical function used to describe the velocity field of an irrotational fluid flow.

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Absolute Pressure

The total pressure at a point in a fluid, including both gauge pressure and atmospheric pressure.

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Euler's Equation

A fundamental equation in fluid mechanics that describes the motion of an ideal fluid based on the conservation of momentum.

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Study Notes

Fluid Mechanics

Pressure in Fluids

  • Pascal's law states that when a certain pressure is applied at any point in a fluid at rest, the pressure is equally transmitted in all directions and to every other point in the fluid.

Buoyancy and Flotation

  • When a block of ice, floating over water in a vessel, slowly melts, the water level in the vessel will remain the same.

Ideal Fluid

  • An ideal fluid is non-viscous and incompressible.

Pressure Measurement

  • To find the absolute pressure in a vessel, the reading of the pressure gauge must be combined with the atmospheric pressure.
  • Example: If the reading of the pressure gauge is 25 bars and the atmospheric pressure is 1.03 bar, the absolute pressure in the vessel is 26.03 bar.

Fluid Flow

  • Existence of velocity potential implies that the flow is irrotational.
  • Euler's equation of motion for the flow of an ideal fluid is derived considering the principle of conservation of momentum and the fluid as incompressible and inviscid.

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Description

Test your understanding of fluid mechanics with these questions on pressure transmission and buoyancy. Apply your knowledge of Pascal's law and Archimedes' principle to solve these problems.

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