# A few sound problems

by Gauss177
Tags: sound
 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
 P: 1,017 I think that's right. For the second part, $$v=\sqrt{\frac{\gamma RT}{M}}$$ The temperature should be in Kelvin. Since there is no change in the gas, $$\frac{\gamma R}{M}$$ are constant, and so the speed of sound varies with the square root of temperature. That should help you out.

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