Finding freqency from 2 insturments playing together

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For b the original tension in the string is 116 N. For c the length of the organ pipe is 85 cm.In summary, the conversation discusses the possible frequencies of an open organ pipe and the original tension in a guitar string. The fundamental frequency of the guitar string is 420 Hz with a length of 49 cm and a mass per unit length of 2 g/m. The velocity of sound is assumed to be 343 m/s. The possible frequencies for the open organ pipe are 418 Hz and 422 Hz, and the original tension in the string is 116 N. The length of the organ pipe is 85 cm.
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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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  • #2
The answer for a is 418 hz and 422 hz
 

FAQ: Finding freqency from 2 insturments playing together

What is frequency?

Frequency is the number of times a repeating event occurs per second. It is measured in Hertz (Hz).

How do you find the frequency from two instruments playing together?

To find the frequency from two instruments playing together, you can use a tool called a spectrum analyzer. This tool captures the audio signals from both instruments and displays their frequencies on a graph. The highest peak on the graph represents the dominant frequency of the combined sound.

Can two instruments have the same frequency?

Yes, two instruments can have the same frequency. This is known as unison and is often used in music to create a harmonious sound.

What happens if two instruments have different frequencies?

If two instruments have different frequencies, they will produce a dissonant sound. This can be used for creative effect in music, but is generally considered unpleasant to the ear.

How does the frequency of an instrument affect its sound?

The frequency of an instrument determines its pitch. A higher frequency will produce a higher pitch, while a lower frequency will produce a lower pitch. This is why different instruments have different sounds, as they produce different frequencies.

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