Why do stretched strings and closed pipes have different fundamental frequency formulas?

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cutesoqq
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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 [itex]\frac{v_1}{2L_1} = \frac{v_2}{4L_2}[/itex], 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: