Waves

Standing Wave (Closed Pipe)

Resonant frequencies for pipe closed at one end.

Variables

f_n
Resonant frequency
Odd harmonics only
Hz
n
Harmonic number
Odd integers 1, 3, 5...
unitless
v
Sound speed
In the pipe
m/s
L
Pipe length
Closed at one end
m

Derivation

Node at closed end, antinode at open: λ_n = 4L/n (odd n).

Your notes

0/5000