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murrskeez
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Homework Statement
A string 40.0cm long of mass 8.50g is fixed at both ends and is under a tension of 425N. When the string is vibrating in its third overtone, you observe that it causes a nearby pipe, open at both ends, to resonate in its third harmonic. The speed of sound is 344m/s. a) How long is the pipe? b) What is the fundamental frequency of the pipe?
Homework Equations
Fn=(nV)/(2L)
λn=(2L)/n
V=√(F/μ) where μ=m/L
The Attempt at a Solution
Really stuck on this one. I know I can find the velocity of the string with the given information but am not sure how I can relate the velocity of the string to the velocity of the pipe. Any suggestions would be much appreciated.
m/L= 0.0085kg/0.400m = 0.0213kg/m
Vstring=√(425N/0.0213kg/m) = 141.3m/s