Finding freqency from 2 insturments playing together

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AI Thread Summary
The discussion revolves around calculating the possible frequencies of an open organ pipe when played alongside a guitar string with a fundamental frequency of 420 Hz, resulting in a beat frequency of 6 beats per second. The possible frequencies for the organ pipe are identified as 418 Hz and 422 Hz. Additionally, the problem involves determining the original tension in the guitar string, which decreases the beat frequency when tightened. Lastly, there is a query regarding the length of the organ pipe. The participant seeks guidance on these calculations to enhance their understanding of the concepts involved.
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Homework Statement


You are playing a note that has a fundamental frequency of 420 Hz on a guitar string of length 49 cm. At the same time, your friend plays a fundamental note on an open organ pipe, and 6 beats per seconds are heard. The mass per unit length of the string is 2 g/m. Assume the velocity of sound is 343 m/s.

a. What are the possible frequencies of the open organ pipe? (Enter your answers from smallest to largest.)

b.When the guitar string is tightened, the beat frequency decreases. Find the original tension in the string.

c.What is the length of the organ pipe?

Homework Equations





The Attempt at a Solution



The book I'm using is pretty terrible, and shows almost no examples. I learn through examples, and I'm absolutely willing to try. This problem is from my last homework assignment (meaning it won't help my grade), I'd just like to learn how to do it. Can someone give me a nudge in the right direction?
 
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The answer for a is 418 hz and 422 hz
 

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