SOLUTION: the frequency of vibration (f) in an open pipe organ varies inversely as the length (L) of the pipe. If the air in a pipe 2m long vibrates 60 times per minute, find the frequency i

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Question 891101: the frequency of vibration (f) in an open pipe organ varies inversely as the length (L) of the pipe. If the air in a pipe 2m long vibrates 60 times per minute, find the frequency in a pipe that is 1.5m long
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
Phrased in variation language. highlight_green%28f=k%2FL%29 for some constant k.

k=f%2AL
Given the values for finding k,
k=60%2A2%2A%28cycles%2Fsec%29%2A%28meters%29
k=120%28cycles%2Ameters%2Fsec%29

A pipe for L=1.5 has frequency f=120%281.5%29
highlight%28f=180%29 cycles per second

Answer by MathTherapy(10810) About Me  (Show Source):
You can put this solution on YOUR website!

the frequency of vibration (f) in an open pipe organ varies inversely as the length (L) of the pipe. If the air in a pipe 2m long vibrates 60 times per minute, find the frequency in a pipe that is 1.5m long


f+=+k%2FL

60+=+k%2F2

k = 60(2), or 120



f+=+k%2FL

f+=+120%2F1.5

frequency, or highlight_green%28highlight_green%28f+=+80%29%29