Leumas Physics

Closed Pipe Harmonic Frequency

f = n·v / (4·L)

What it says

The resonant frequency of the nth (odd) harmonic in a pipe closed at one end equals n times the speed of sound divided by four times the pipe length, where n takes only odd integer values (1, 3, 5, ...). The closed end is a displacement node and the open end an antinode.

Symbols

SymbolQuantityDimension
fHarmonic frequency (Hz)T^-1
nOdd harmonic number (dimensionless)1
vSpeed of sound (m/s)L T^-1
LPipe length (m)L

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Connects to

Filed under Waves · derive through it in the explorer