# Chapter 12: Fluid Mechanics

Difficulty Level:

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

**Credit**: Flickr:davida3

**Source**: http://www.flickr.com/photos/davida3/283438208/

**License**: CC BY-NC 3.0

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:

### Image Attributions

**[1]****^**Credit: Flickr:davida3; Source: http://www.flickr.com/photos/davida3/283438208/; License: CC BY-NC 3.0

## Description

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

## Difficulty Level:

At Grade## Authors:

## Editors:

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## Date Created:

Dec 05, 2014## Last Modified:

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