# Chapter 12: Fluid Mechanics

Difficulty Level:

**At Grade**Created by: CK-12

Fluid dynamics is the study of how liquids act. Instead of working with distinct objects, we must look at how the fluid behaves as a unit - including pressure, density, and motion.

Chapter Outline

- 12.1.
## Pressure in Fluids

- 12.2.
## Measuring Pressure

- 12.3.
## Pascal’s Law

- 12.4.
## Archimedes’ Law

- 12.5.
## Bernoulli's Law

### Chapter Summary

- Pressure is defined as
P=FA - Density is defined as the ratio of mass to volume
ρ=mV -
*Pascal’s Principle*: A confined incompressible fluid under pressure will transmit that pressure equally throughout the system.P1=P2→AoutAin=FoutFin . The mathematical relationship that follows from Pascal’s principle shows how the application of a force in one part of the system can be multiplied in another part of the system. -
*Archimedes' Principle*: The buoyant force on a submerged or partially submerged object is equal to the weight of fluid it displaces. -
*Bernoulli’s Principle*: At those points in space where the velocity of a fluid is high, the pressure is low, and at those points in space where the velocity of a fluid is low, the pressure is high.

The mathematical equation that Bernoulli derived based on this principle is stated below.

Bernoulli’s Equation:

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Description

Covers pressure, density, Pascal’s Principle, Archimedes' Principle, and Bernoulli’s Principle.

Difficulty Level:

At Grade
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Date Created:

Jun 27, 2013
Last Modified:

Jan 14, 2016
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