A tuning fork vibrating at 512HZ is held near one end of a tube of length L that is open at both ends, as shown above. The column of air in the tube resonates at its fundamental frequency. The speed of sound in air is 340m/s. (a) Calculate the length L of the tube. (b) The column of air in the tube is still resonating at its fundamental frequency. Copy the axes below on to your own paper, and then sketch a graph of the maximum speed of air molecules as they oscillate in the tube, as a function of position x, from x=0 (left end of tube) to x=L (right end of tube). (Ignore random thermal motion of the air molecules.) Hint, you are essentially mapping out where the nodete) are

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Tube
Tuning
Fork
A tuning fork vibrating at 512HZ is held near one end of a tube of length L that is open at both ends,
as shown above. The column of air in the tube resonates at its fundamental frequency. The speed of
sound in air is 340m/s.
(a) Calculate the length L of the tube.
(b) The column of air in the tube is still resonating at its fundamental frequency. Copy the axes below
on to your own paper, and then sketch a graph of the maximum speed of air molecules as they
oscillate in the tube, as a function of position x, from x-0 (left end of tube) to x=L (right end of tube).
(Ignore random thermal motion of the air molecules.) Hint, you are essentially mapping out where
the node(s) are.
L/4
L/2
3L/4
M
DELL
Maximum Particle Speed
Transcribed Image Text:Tube Tuning Fork A tuning fork vibrating at 512HZ is held near one end of a tube of length L that is open at both ends, as shown above. The column of air in the tube resonates at its fundamental frequency. The speed of sound in air is 340m/s. (a) Calculate the length L of the tube. (b) The column of air in the tube is still resonating at its fundamental frequency. Copy the axes below on to your own paper, and then sketch a graph of the maximum speed of air molecules as they oscillate in the tube, as a function of position x, from x-0 (left end of tube) to x=L (right end of tube). (Ignore random thermal motion of the air molecules.) Hint, you are essentially mapping out where the node(s) are. L/4 L/2 3L/4 M DELL Maximum Particle Speed
(c) Examine your graph from part (b). How many nodes are present? How many antinodes are
present in the tube?
(d) What is the frequency of the 3rd harmonic for this tube? Draw a sketch of the wave pattern that
would be present inside the tube for the 3rd harmonic.
(e) A student decides to cap off one end of the tube.. Will the fundamental frequency change?
Explain how you decided
() New experiment, the right end of the tube is now capped shut, and the tube is placed in a
chamber that is filled with another gas in which the speed of sound is 1005m/s. Calculate the new
fundamental frequency of the tube.
DELL
Transcribed Image Text:(c) Examine your graph from part (b). How many nodes are present? How many antinodes are present in the tube? (d) What is the frequency of the 3rd harmonic for this tube? Draw a sketch of the wave pattern that would be present inside the tube for the 3rd harmonic. (e) A student decides to cap off one end of the tube.. Will the fundamental frequency change? Explain how you decided () New experiment, the right end of the tube is now capped shut, and the tube is placed in a chamber that is filled with another gas in which the speed of sound is 1005m/s. Calculate the new fundamental frequency of the tube. DELL
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