Standing Wave (Open Pipe)

f_{n} = \frac{n v}{2 L}

Resonant frequencies for pipe open at both ends.

Variables

f_n

Resonant frequency

nth harmonic

Hz

n

Harmonic number

Integer 1, 2, 3...

unitless

v

Sound speed

In the pipe

m/s

L

Pipe length

Open at both ends

m

Derivation

Antinodes at both ends: λ_n = 2L/n.

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