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Resonance Tube Prelab Hints
1 The Open Pipe
For a pipe of length
L
= 0
.
92
m, what are the resonant frequencies of the pipe if it is open
at both ends?
How many wavelengths of the fundamental mode can the pipe support? (How many wavelengths of
the fundamental mode could the Shive wave machine support? What about the guitar string?)
You now know the wavelength
λ
1
of the fundamental mode in terms of the length
L
of the pipe.
What is the velocity
v
of sound in air at standard temperature and pressure?
What equation should you use to relate the velocity
v
of a wave in a speciﬁed medium, the wave-
length
λ
1
of the fundamental mode, and the frequency
f
1
of the fundamental mode?
You now know the frequency of the fundamental mode,
m
= 1. What is the frequency
f
m
of any
other other mode
m
= 2
,
3
,
4
,...
as a function of the integer
m
and the fundamental frequency
f
1
?
2 The Stopped Pipe
For a pipe of length
L
= 0
.
92
m, what are the resonant frequencies of the pipe if it is open
at one end and closed at the other?

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