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qban88
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Homework Statement
A loudspeaker at the origin emits sound waves on a day when the speed of sound is 340 m/s. A crest of the wave simultaneously passes listeners at the{xy} coordinates (43 ,0) and (0,33).What are the lowest two possible frequencies of the sound?
Homework Equations
v(sound)= frequency * wavelength
The Attempt at a Solution
My assumption is the wavelength must be a number that when multiplied by two different integers the result is 33 and 43. I need to get something like the greatest common factor between 33 and 43 but it is a non-integer and I don't know what to do. Moreover, the distance between the 2 crests (10 m) has to be also the product of an integer and the wavelength.
I am trying to find the system of equations to solve for the maximum wavelength that would give me the lowest frequency and then calculate the next frequency. Any help would be greatly appreciated.
Yes, this is a homework problem and it is past due already but I spent almost 3 hours trying to figure it out and by know I just want to find out how is done. Thanks