Fundamental standing wave in Closed tube

AI Thread Summary
The discussion centers on calculating the frequency of the fundamental standing wave in a closed test tube with a length of 14.0 cm and a speed of sound of 344 m/s. The formula used is Fn = nVair / 4L, leading to an initial calculation of 614 kHz. However, the online program indicates this answer is incorrect, prompting a discussion about unit conversions and significant figures. It is clarified that the calculation yields a frequency in Hz, which should be converted to kHz for the correct answer. The importance of paying attention to units in physics problems is emphasized.
stylez03
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Homework Statement


You blow across the open mouth of an empty test tube and produce the fundamental standing wave of the air column inside the test tube. The speed of sound in air is 344 m/s and the test tube acts as a stopped pipe.

If the length of the air column in the test tube is 14.0 cm, what is the frequency of this standing wave?

L = 0.14m
V = 344 m/s
Closed Tube


Homework Equations



Closed Tube Frequency = Fn = nVair / 4L


The Attempt at a Solution



F1 = 1*344 / 4*0.14 = 614khz

I thought this was the right answer, but the online program says it's incorrect.
 
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i got the same answer.

That's the standing wave...perhaps it's asking for a resonance frequency? Seeing that it's an online program...maybe it wants more SIG FIGS?
 
stylez03 said:


The Attempt at a Solution



F1 = 1*344 / 4*0.14 = 614khz

I thought this was the right answer, but the online program says it's incorrect.


Is it really KHz?
 
Well the online program already had the units ready, which was khz. Should there be a conversion?
 
The calculation you have done gives an answer in Hz and if the online thing wants it in KHz the yes you will have to convert from Hz to KHz
 
Thanks Kurdt, that seemed to work. I hate the units in some of these problems, guess I should pay attention as well.
 
Yes units are very important. They've probably done that to make you think about them. :smile:
 
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