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Waves
Waves

Standing Wave (Open Pipe)

fn=nv2Lf_n = \frac{nv}{2L}

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.

Your notes

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Common questions

What is the Standing Wave (Open Pipe) formula?

Standing Wave (Open Pipe) is written fₙ = nv/2L. Resonant frequencies for pipe open at both ends. It belongs to Waves, under Superposition.

What are the units in fₙ = nv/2L?

In SI units, f_n is resonant frequency, measured in 1/s; n is harmonic number (dimensionless); v is sound speed, measured in m/s; L is pipe length, measured in m.

How is the Standing Wave (Open Pipe) formula derived?

Antinodes at both ends: λ_n = 2L/n. The result is fₙ = nv/2L.