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calculus ii review

key term - Pascal’s principle

Citation:

Definition

Pascal’s principle states that any change in pressure applied to an enclosed fluid is transmitted undiminished throughout the fluid. This principle is fundamental in understanding hydraulic systems and their applications.

5 Must Know Facts For Your Next Test

  1. Pascal's principle can be mathematically expressed as $\Delta P = \rho g \Delta h$, where $P$ is pressure, $\rho$ is fluid density, $g$ is gravitational acceleration, and $h$ is height.
  2. The principle explains why hydraulic lifts work; applying a force at one point creates an equal increase in pressure throughout the system.
  3. In integration problems, Pascal's principle can help determine force distributions in fluids with varying heights or densities.
  4. The principle assumes that the fluid is incompressible and the container does not expand or contract under pressure.
  5. Real-world applications include car brakes, hydraulic jacks, and even the human circulatory system.

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