Introduction to Wind Instruments

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The discussion focuses on the physics of wind instruments, emphasizing the role of standing waves created by vibrating air columns when a player blows into the mouthpiece. It explains that flutes are modeled as open-open pipes, while clarinets are modeled as open-closed pipes due to their mouthpiece designs. The conversation includes calculations related to the fundamental frequency of an open-open pipe, with a specific example of an 80.0 cm pipe producing a frequency of 214 Hz. Additionally, it addresses the relationship between the lengths of open-open and open-closed pipes to achieve the same fundamental frequency. Understanding these concepts is crucial for analyzing the acoustics of wind instruments.
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Homework Statement



The physics of wind instruments is based on the concept of standing waves. When the player blows into the mouthpiece, the column of air inside the instrument vibrates, and standing waves are produced. Although the acoustics of wind instruments is complicated, a simple description in terms of open and closed tubes can help in understanding the physical phenomena related to these instruments. For example, a flute can be described as an open-open pipe because a flutist covers the mouthpiece of the flute only partially. Meanwhile, a clarinet can be described as an open-closed pipe because the mouthpiece of the clarinet is almost completely closed by the reed.


What is the frequency of the first possible harmonic after the fundamental frequency in the open-closed pipe described in Part E?

Part E was What length of open-closed pipe would you need to achieve the same fundamental frequency as the open-open pipe discussed in Part A? Half the length of the open-open pipe.

Part A was Consider a pipe of length 80.0 open at both ends. What is the lowest frequency of the sound wave produced when you blow into the pipe? frequency 214 Hz



Homework Equations





The Attempt at a Solution



What is the frequency of the first possible harmonic after the fundamental frequency in the open-closed pipe described in Part E?
 
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Your text or notes should define the first possible harmonic after the fundamental frequency.
 

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