Sound waves through air column

In summary: So, why isn't the resonance frequency always equal to the natural frequency of the tuning fork?In summary, the natural frequency of a tuning fork does not need to be equal to the natural frequency of the air column for resonance to occur. This is because odd harmonics of the tuning fork can also resonate with the air column, producing noticeable increases in sound intensity. The key is that the length of the air column must be an odd multiple of the wavelength of the tuning fork oscillation.
  • #1
tastoon
4
0
hello guys, I'm having problems understanding why if we were to have a tuning fork that vibrates at a particular natural frequency, it will resonate at many different lengths of air column (which means different natural frequency of air column). Does this mean that the natural frequency of the tuning fork does not need to be equal to the natural frequency of the air column for resonance to occur?
 
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  • #2
tastoon, Welcome to Physics Forums!
To search for answers to your question I entered the search terms "tuning fork resonate air column" and got lots of hits. Here are two sites which may help explain the difference between "natural frequency of the tuning fork" and "resonant frequency of the open tube". The key is that odd harmonics resonate also.

"The various possible frequencies at which a tube may resonate are definite and fixed in value. They depend upon the length of the pipe and the velocity of sound in air. In a cylinder of air, the length (L) of the column of molecules vibrating must be some odd number multiple of the wavelength of the tuning fork oscillation:
n l = 4 L
In this equation: n = an odd integer (1, 3, 5, ..); l is the wavelength of the sound wave; and L is the length of the air column."
http://chemmovies.unl.edu/chemistry/dochem/DoChem028.html

A simple experiment you can do to search for odd harmonics of tuning fork:
http://www.lhup.edu/~dsimanek/scenario/labman2/soundvel.htm

Cheers,
Bobbywhy
 
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  • #3
I still don't get it =( . If the frequency of the sound wave entering the tube equals to the reflected sound wave's frequency, won't resonance always occur since driving frequency = reflected frequency?

From http://chemmovies.unl.edu/chemistry/dochem/DoChem028.html , it states that, "It is observed when the sound waves reflected from the closed end of the tube return to the top of the tube in phase with the new waves being produced by the tuning fork. The direct and reflected waves combine their effects. Very noticeable increases in sound intensity can be heard at certain frequencies in conjunction with certain tube lengths." However, isn't the reflected sound wave produced will always be in phase with the incoming sound wave?
 
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1. What are sound waves and how do they travel through air?

Sound waves are a type of mechanical wave that travel through air as a series of compressions and rarefactions. These waves are created by vibrations, such as those from a sound source, and they travel through the air by causing molecules to vibrate and pass their energy to neighboring molecules.

2. How does the length of an air column affect the speed of sound waves?

The speed of sound waves through an air column is directly proportional to the length of the column. This means that as the length of the air column increases, the speed of sound waves also increases. This relationship is known as the "inverse proportionality" of sound waves and air column length.

3. What is the difference between a resonant and a non-resonant air column?

A resonant air column is one in which the length of the column is equal to a multiple of the wavelength of the sound waves passing through it. This results in constructive interference, amplifying the sound waves. A non-resonant air column does not have a length that is an exact multiple of the wavelength, resulting in destructive interference and a weaker sound.

4. Can sound waves travel through a vacuum?

No, sound waves require a medium to travel through. In a vacuum, there is no matter for the waves to travel through, so they cannot propagate. This is why sound cannot be heard in outer space.

5. How can the speed of sound waves through an air column be calculated?

The speed of sound waves through an air column can be calculated by multiplying the frequency of the sound source by the wavelength of the sound waves. The wavelength can be determined by dividing the speed of sound in air by the frequency. This calculation is known as the "wave equation" and can be expressed as v = fλ, where v is the speed of sound, f is the frequency, and λ is the wavelength.

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