Fundamental Frequency of Stretched Strings & Closed Pipes

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The fundamental frequency of a stretched string and a closed pipe can be equal under specific conditions, as expressed by the equation v/2L for the string and v/4L for the pipe. This equality occurs when the ratio of the speed of sound in the two mediums (string and air) and their respective lengths are considered. Factors influencing their frequencies include the lengths of the string and pipe, as well as any elements that affect the speed of sound in each medium. Understanding these relationships is crucial for analyzing sound production in different systems.
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HI
As we know, the fundametal freq of a stretched string is f=v/2L
while the fundametal freq. of a closed pipe is f=v/4L
then,
how can the fundametal freq. of both can be the same?!

and, what factors would affect their freq.?!
 
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The frequencies will be the same when \frac{v_1}{2L_1} = \frac{v_2}{4L_2}, of course. The speed is the speed of sound: in the string and in air. The fundamental frequencies will be affected by their lengths and whatever affects the speed of sound--look it up! :smile:
 
thank you very much
 

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