Fundamental Frequency of Stretched Strings & Closed Pipes

[cutesoqq]

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.?!

 

[Doc Al]

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!

 

[cutesoqq]

thank you very much