Final answer:
The discussion of fundamental frequency in relation to 3pi/4 seems to be a confusion; 3pi/4 is not a frequency. Fundamental frequency in acoustics is the lowest frequency at which an instrument resonates, and for tubes, it is calculated based on their length and the speed of sound.
Step-by-step explanation:
The student has asked about the fundamental frequency in the context of musical instruments and how this relates to the harmonics or overtones produced by such instruments. When discussing the fundamental frequency of 3pi/4, it seems that there might be a misunderstanding since 3pi/4 is not a frequency but rather a mathematical value that could represent an angle or a phase in radians. This needs clarification.
In the realm of acoustics, particularly concerning wind instruments, the fundamental frequency refers to the lowest frequency at which the instrument resonates. For a tube that is open at both ends, the fundamental frequency can be found using the formula f = v/(2L) where v is the speed of sound and L is the length of the tube. For a tube that is closed at one end, the harmonics occur at odd multiples of the fundamental frequency, meaning the first overtone is the third harmonic (f' = 3f).
Instruments like the tuba or bassoon, which are either closed at one end or have a complex shape, have unique harmonics. The frequency of overtones or harmonics increases in a predictable pattern based on whether the instrument is considered open or closed at one end.