Bernoulli's equation relates which of the following quantities?
Correct answer: D. Both pressure with speed and pressure to elevation are correct
- A. Pressure of fluid with speed of fluid
- B. Pressure to volume
- C. Pressure to elevation
- D. Both pressure with speed and pressure to elevation are correct
Explanation
Bernoulli's equation is an expression of the conservation of energy for flowing fluids. It states that the total mechanical energy of the fluid remains constant. The equation considers three key components: pressure energy, kinetic energy (related to velocity), and potential energy (related to elevation). Therefore, the equation relates pressure with both speed and elevation.Option A only considers pressure and speed, missing the elevation component. Option B incorrectly relates pressure to volume, which is not part of Bernoulli's equation. Option C only considers pressure and elevation, missing the velocity component. Option D correctly identifies that Bernoulli's equation involves both pressure with speed and pressure to elevation.
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About Fluid Dynamics
Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.
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