340 Hz note is played outdoors. Temperature and wave length

AI Thread Summary
To estimate the wavelength of a 340 Hz note played outdoors at 25 degrees Celsius, the speed of sound in air is approximately 340 m/s. Using the formula for wavelength, which is the speed of sound divided by frequency, the calculation yields a wavelength of about 1 meter. This aligns with the provided options, confirming that the closest estimate is 1 m. The discussion emphasizes understanding the relationship between sound speed, temperature, and wavelength rather than merely applying formulas. Overall, the key takeaway is the calculation of wavelength based on the speed of sound at a given temperature.
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Homework Statement



A 340 Hz note is played outdoors on a day when the temperature is 25 degrees Celcius. What is the closest estimate of the wavelength of this note?

A) .1 m
B) 1 m
C) 10 m
D) 50 m
E) 340 m

Homework Equations



http://www.artofproblemsolving.com/Forum/latexrender/pictures/e7d4b6d614f84b4b105ead162fa94e0d.gif

so...
http://www.artofproblemsolving.com/Forum/latexrender/pictures/b9e251aca0bff9ace83197927124a406.gif

[PLAIN]http://www.artofproblemsolving.com/Forum/latexrender/pictures/0d2c032a601d8c290d422804dc30c00d.gif
might be useful

The Attempt at a Solution



basically, I tried looking for velocity relative to temperature.
I used the previous equation that
[PLAIN]http://www.artofproblemsolving.com/Forum/latexrender/pictures/0d2c032a601d8c290d422804dc30c00d.gif

but that didn't help much because I do not know m or k.
I think I'm missing a basic knowledge because I have not learned much about this stuff yet. (I only know the formula...)

someone help please!
 
Last edited by a moderator:
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You're overthinknig the problem. They're trying to get you to understand as opposed to simply plug numbers in formulae.

As a ballpark figure - how far will sound travel (in feet) in one second?
How many wavelengths are we looking at in that second?
Thus, how long is one wavelength (approximately).
 
You should be able to find the speed of sound in air at various temperatures and pressures listed somewhere on the internet. You only need an approximate value and you already have the necessary equation.
 
yes I figured this out. Sorry for not reposting. I found the velocity of sound at room temperature which is approximately 340.
 

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