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A few sound problemsby Gauss177
Tags: sound 
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#1
Mar1507, 01:10 AM

P: 38

1. The problem statement, all variables and given/known data
1. An unfingered guitar string is 0.70 m long and is tuned to play E above middle C (330 Hz). How far from the end of this string must the finger be placed to play A above middle C (440 Hz)? 2. An organ is in tune at 20 degrees C. By what fraction will the frequency be off at 0 degrees C? 2. Relevant equations 3. The attempt at a solution 1. I used the v=(freq)(wavelength) equation: v = (330)(0.70) = 231 m/s Then i plugged in 231 to figure out the distance for 440 Hz: (231 m/s) = (440)x x=.525 m I'm not sure if my method is right, so please check that! thanks 2. Not sure about this one Thanks for the help 


#2
Mar1507, 05:31 AM

P: 1,017

I think that's right.
For the second part, [tex]v=\sqrt{\frac{\gamma RT}{M}}[/tex] The temperature should be in Kelvin. Since there is no change in the gas, [tex]\frac{\gamma R}{M}[/tex] are constant, and so the speed of sound varies with the square root of temperature. That should help you out. 


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