Daniel Bernoulli and Bernoulli's Equation Quiz

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Questions and Answers

What is the relationship between fluid speed, pressure, and elevation according to Bernoulli's equation?

  • Elevation affects the fluid speed, but not the pressure
  • Fluid speed and elevation are inversely proportional
  • The pressure in the fluid varies with changes in fluid speed and/or elevation (correct)
  • Pressure is constant regardless of changes in fluid speed and elevation

Bernoulli's equation is a consequence of what principle?

  • Einstein's theory of relativity
  • Archimedes' principle
  • Newton's laws of motion
  • Energy conservation as applied to an ideal fluid (correct)

What did Daniel Bernoulli publish in 1738?

  • Hydrodynamica (correct)
  • Dealt with equilibrium, pressure and speed in fluids
  • Bernoulli’s principle
  • Bernoulli’s Equation

What does the net work done on a segment of fluid depend on?

<p>(P1 – P2) V (C)</p> Signup and view all the answers

What factor does Bernoulli's equation assume to be constant in streamline flow?

<p>Kinetic energy (C)</p> Signup and view all the answers

Flashcards

Bernoulli's Equation: Speed, Pressure, and Elevation

Bernoulli's equation states that in a fluid, pressure varies with changes in fluid speed and/or elevation.

Bernoulli's Equation and Energy Conservation

Bernoulli's equation arises from the principle of energy conservation applied to an ideal fluid.

Publication of Hydrodynamica

Daniel Bernoulli published 'Hydrodynamica' in 1738.

Net Work on Fluid Segment

The net work done on a segment of fluid depends on the pressure difference (P1 – P2) multiplied by the volume (V).

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Bernoulli's Equation: Constant Factor

Bernoulli's equation assumes kinetic energy to be constant in streamline flow.

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Study Notes

Bernoulli's Equation

  • Bernoulli's equation describes the relationship between fluid speed, pressure, and elevation, stating that an increase in fluid speed occurs simultaneously with a decrease in pressure or a decrease in elevation.

Principle Behind Bernoulli's Equation

  • Bernoulli's equation is a consequence of the principle of conservation of energy, which states that energy cannot be created or destroyed, only converted from one form to another.

Contributions of Daniel Bernoulli

  • Daniel Bernoulli published his groundbreaking work "Hydrodynamica" in 1738, which laid the foundation for modern fluid dynamics.

Net Work Done on Fluid Segment

  • The net work done on a segment of fluid depends on the change in kinetic energy, potential energy, and the work done by external forces.

Assumptions of Bernoulli's Equation

  • Bernoulli's equation assumes that the density of the fluid is constant in streamline flow.

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