Answer to Question #81805 in Classical Mechanics for Maria Diaz

Question

A speaker, playing a sound at some unknown frequency, is placed near the opening of a tube partially filled with water (the water acts as a fixed boundary). You come into the room and notice that water level in the tube is already dropping. You hear a loud sound (harmonic frequency) and you note the water level is L_A = 1.10 m. You keep listening as the water level falls until you here the next loud sound but you miss the water level. You continue to listen until you hear the next loud sound at L_C = 1.980 m. (If you require the speed of the sound in air, you can take it to be 343 m/s).

A) Sketch any three consecutive harmonics associated with a tube as described above. Label both ends as either fixed or free and label all Nodes and Antinodes.
B) Derive the formula for the harmonic frequencies of this type of tube. State what the allowed values for n are.
C) Find the frequency the speaker is emitting?

Answer 1

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