Standing sound waves created in a pipe, question about resonances

In summary, the conversation discusses a lab report involving sound resonance in a closed pipe, with varying frequencies and recorded data. The formula for closed pipes is given, and the question is posed regarding the number of resonance cases at different frequencies. The length of the pipe is mentioned to be approximately 1 meter, and the conversation ends with a suggestion to calculate the wavelength and see how many lengths fit in one meter.
  • #1
helpmeplz!
27
1
Hey guys i have a question for my lab report that i can't solve. We did a lab where we had a pipe and produced sound resonance in there, using a generator to vary the frequencies and we recorded our data.

the general formula is for the closed pipe, fn= n (v/4L) and wavelenght= 4L/n.

The question is, explain why there are 3 cases of resonance when f= 500 hz, 4 cases of resonance when f= 700 hz and 6 cases of resonance when f= 1000 hz.

the length of the pipe was around 1 metre.
 
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  • #2
Hi helpmeplease!, welcome to PF.
In a closed pipe, resonance occurs when the length of pipe is λ/4, 3λ/4, 5λ/4, and so on.
Length of the pipe is nearly one meter. If you take the velocity of the sound at temperature as 340 m/s, what is the wavelength of 500 Hz sound? Then see how many λ/4 lengths fit in one meter.
 

What are standing sound waves?

Standing sound waves are a type of sound wave that occurs when two waves with the same frequency and amplitude travel in opposite directions and interfere with each other. This results in certain points along the wave appearing to be still, or "standing."

How are standing sound waves created in a pipe?

Standing sound waves can be created in a pipe by producing a sound at one end of the pipe and allowing it to travel to the other end, where it reflects back and interferes with the original sound wave. This creates a standing wave pattern within the pipe.

What is resonance in relation to standing sound waves in a pipe?

Resonance occurs when the natural frequency of the standing sound wave matches the natural frequency of the pipe. This results in a significant increase in amplitude, or loudness, of the sound wave within the pipe.

What factors affect the resonance of standing sound waves in a pipe?

The length and diameter of the pipe, as well as the speed of sound within the pipe, can all affect the resonance of standing sound waves. Generally, a longer and narrower pipe will have a lower natural frequency, while a shorter and wider pipe will have a higher natural frequency.

How are standing sound waves in a pipe used in practical applications?

Standing sound waves in pipes are used in musical instruments, such as flutes and organ pipes, to produce specific notes and tones. They are also used in acoustic resonators, which can amplify sound in certain frequencies, and in ultrasound technology for medical imaging.

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