How Many Wavelengths Between a Node and an Antinode in a Standing Wave?

Thread starter mtreichl
Start date Oct 18, 2011
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In a standing wave, the distance between a node and the adjacent antinode corresponds to half a wavelength. This is derived from the characteristics of sine and cosine functions, where nodes represent points of no displacement and antinodes represent maximum displacement. Therefore, moving from one node to the next adjoining antinode covers a distance of 1/2 wavelength. Understanding this relationship is crucial for analyzing wave behavior in various physical contexts. The conclusion confirms that the answer is indeed 1/2.

Oct 18, 2011

mtreichl

Homework Statement

If you go any node in a standing wave to the next adjoining antinode, how many wavelengths have you gone?

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The Attempt at a Solution

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Oct 20, 2011

Liquidxlax

draw a sine and or cosine function of radians vs amplitude. There is no way to describe this without giving the answer

which would be 1/2

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