standing wave

Mechanical wave on a string

Boundary condition: reflection at the fixed ends => the ends must be nodes

y (x, t) = \underset{Amplitude component}{\underset{⏟}{2 A \sin (k x)}} \underset{Oscillating component}{\underset{⏟}{\cos (ω t)}}

Sound wave in a tube

Boundary condition: reflection at closed ends => the ends must be nodes
Boundary condition: balance of internal and external pressure at open ends => the ends must be antinodes

Closed-closed

Abbr. C-C

Open-open

Abbr. O-O

Open-closed

Abbr. O-C

Contributors

Ajitani Hifumi

Changelog

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standing wave ​

Mechanical wave on a string ​

Sound wave in a tube ​

Closed-closed ​

Open-open ​

Open-closed ​