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22: Resistive Forces in Fluids

Last updated

Aug 7, 2024
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- 21.2: Inclined Block and Vertical Block
- 22.1: Model I F ∝ v

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In the last chapter we examined the frictional force between solid bodies in direct contact. Another type of resistive force applies to objects moving through a fluid ${ }^{1}$ such as air. In such a situation, the resistive force $F_{R}$ is generally found to be proportional to some power of the velocity $v$ of the body:

$F_{R} \propto v^{n}$ We'll examine two common models of this resistive force: one where $n=1$ , and another where $n=2$ . Examples with $n=1$ include flow through fine fibrous mats such as furnace filters, and the movement of fog, mist, and dust particles through the atmosphere. Examples with $n=2$ include most falling objects, parachute flight, and aerodynamic drag on automobiles.

${ }^{1} \mathrm{~A}$ fluid is a substance that flows (a gas or a liquid).

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