An organ pipe is 84 cm long and at a temperature of 20 degrees C.

In summary, the conversation was about finding the fundamental frequency of an organ pipe that is 84 cm long and closed at one end, with a temperature of 20 degrees C. The equation used was Fn = n * (v / 4L), where n represents the number of nodes and v is the speed of sound. The conversation also mentioned the equation Fn = (n+1)*(V/4L) for a pipe with one open end. In the end, the solution was found by dividing the speed of sound by four times the length of the pipe.
  • #1
JohnnyB212
14
0

Homework Statement



An organ pipe is 84 cm long and at a temperature of 20 degrees C. What is the fundamental (in Hertz) if the pipe is closed at one end?


Homework Equations



To best honest, I'm not really to sure where to start. Can anyone please help? Start me off?

Thanks in advance!
 
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  • #2
Start off drawing a picture! nodes and anti-nodes this will show you the ratio of length of the pipe to the wave length! If you need more help just say so I am going to use this as an exercise to review harmonics so i will find the answer.
 
  • #3
Mthees08 said:
Start off drawing a picture! nodes and anti-nodes this will show you the ratio of length of the pipe to the wave length! If you need more help just say so I am going to use this as an exercise to review harmonics so i will find the answer.


The picture alone doesn't really help me much though. :confused:
 
  • #4
well if you draw it you see you have 1 node 1 antinode which means the length of the pipe is 1/4 the wavelength the speed of sound at 20C is 344 m/s freq=v/wavelength. Thats really all I can say without telling you the answer lol
 
  • #5
lol Gosh I'm sorry, I'm still confused, Iv'e been working on this stuff all day preparing for my physics final tomorrow, and I'm extremely confused.

does the equation Fn = n * (v / 4L) have anything to do with it?
 
  • #6
JohnnyB212 said:
lol Gosh I'm sorry, I'm still confused, Iv'e been working on this stuff all day preparing for my physics final tomorrow, and I'm extremely confused.

does the equation Fn = n * (v / 4L) have anything to do with it?

Don't worry about being confused, it can get that way especially when you start adding ns and random variables in. If you look that is the equation I gave you, with 2 ns in it, which if I remember correctly correspond to the number of nodes maybe? I am not sure, however I believe they are there simply to confuse you. They might be the harmonics of a pipe,

Fn = (n+1)*(V/4L) is the relation that I would use to describe number of nodes to the frequency of a pipe with 1 end open So if you explain n I might be able to help explain that equation but it is not one I am familiar with.

Hint: Closed ends have nodes, open ends have anti-nodes
 
  • #7
OH! I got it!

Since there was 1 node and 1 antinode, I assumed it canceled out, I simply put in

344 / (4 * .84)

And it was correct lol, Thanks for your help! I appreciate this!
 

FAQ: An organ pipe is 84 cm long and at a temperature of 20 degrees C.

How does the length of an organ pipe affect its sound?

The length of an organ pipe is directly related to the pitch it produces. Longer pipes produce lower pitches, while shorter pipes produce higher pitches.

How does temperature affect the sound of an organ pipe?

Temperature affects the speed of sound, which in turn affects the pitch produced by an organ pipe. Higher temperatures result in faster sound waves and a higher pitch, while lower temperatures result in slower sound waves and a lower pitch.

What is the relationship between the length of an organ pipe and its wavelength?

The length of an organ pipe is directly proportional to its wavelength. This means that longer pipes have longer wavelengths, and shorter pipes have shorter wavelengths.

How do you calculate the frequency of an organ pipe?

The frequency of an organ pipe can be calculated using the formula f = v/λ, where f is the frequency, v is the speed of sound, and λ is the wavelength. The speed of sound is affected by temperature, so the temperature of the pipe must also be taken into account.

How does temperature affect the quality of sound produced by an organ pipe?

Temperature can affect the quality of sound produced by an organ pipe in two ways. Firstly, higher temperatures can cause the pipe to expand, resulting in a change in pitch. Secondly, temperature can also affect the speed of sound, which can impact the clarity and resonance of the sound produced by the pipe.

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