Why amplitude doesn't affect speed of sound?

In summary, the amplitude of a sound wave does not directly affect the speed of sound in a medium. Despite an increase in the speed of individual particles, the overall speed of the wave remains constant due to an equal and opposite effect in the other direction. The only way to significantly increase the speed of sound is to inject a large amount of energy to increase the temperature of the medium.
  • #1
hasankamal007
42
0
If amplitude is the measure of energy in a sound wave -
On increasing amplitude, the medium particles should hit each other in lesser time because they have more force(which increases their speed) and this cycle should repeat and repeat. Eventually, the speed of sound should increase. But that's not what happens.
So what's wrong in this cycle?
 
Physics news on Phys.org
  • #2
ahhhh but the the energy of the sound wave attenuates with distance through a medium
because energy is absorbed by the medium
 
  • #3
Sound is a pressure wave. The amplitude of sound pressure is much less than ambient athmospheric pressure (see the table). When they become comparable it's called shock wave.
 
  • #4
  • #5
hasankamal007 said:
If amplitude is the measure of energy in a sound wave -
On increasing amplitude, the medium particles should hit each other in lesser time because they have more force(which increases their speed) and this cycle should repeat and repeat. Eventually, the speed of sound should increase. But that's not what happens.
So what's wrong in this cycle?


individual particles of air are being accelerated fater and are moving faster but the speed of the wave itself is the same
 
  • #6
grandpa
Can you elaborate please. Thanks.
 
  • #7
The range of speeds (Kinetic Energy) of air molecules is immense. The speed of sound in a gas is dominated by the average time taken for each molecule to travel across the space between, to the next molecule. (simple model for the purpose of making the point). So the speed depends, essentially, on the gas temperature. Any effect in which the 'forward travelling' molecules from the source (pushed forward by the loudspeaker cone) would, somehow, push the downstream molecules away faster would be counterbalanced by the fact that there would be an equal and opposite effect in the other direction on the other half of the sound cycle. The mean addition to velocity would be zero.- certainly in the 'far field' situation.

The only thing that would increase this speed would be the injection of a lot of energy (in total) to increase the temperature. A 'normal' level of sound, from a loudspeaker or even a Jet engine (not the exhaust gases, of course) would not constitute a significant amount of energy and doesn't affect the temperature so I can't see how the speed of sound would be level dependent. Has anyone ever detected an increase in temperature right in front of a high-power loudspeaker, that could be attributed to the flux of sound energy? It would be interesting to know.
 

What is amplitude?

Amplitude is the measure of the maximum displacement of a sound wave from its equilibrium position. In simpler terms, it is the height or strength of a sound wave.

How does amplitude affect the speed of sound?

Amplitude does not affect the speed of sound. The speed of sound is determined by the medium through which it travels, not by its amplitude.

Why do some people think that amplitude affects the speed of sound?

Some people may think that amplitude affects the speed of sound because they confuse it with frequency. Frequency, which is the number of wave cycles per second, does have an impact on the speed of sound. Higher frequency sound waves travel faster than lower frequency ones.

What factors determine the speed of sound?

The speed of sound is determined by the density, elasticity, and temperature of the medium it travels through. Denser and more elastic mediums, such as solids, allow sound to travel faster than less dense and less elastic mediums, such as gases.

How is amplitude related to the loudness of a sound?

Amplitude is directly related to the loudness of a sound. The higher the amplitude, the louder the sound. However, as stated earlier, this does not affect the speed of sound, only its perceived volume.

Similar threads

Replies
8
Views
2K
Replies
9
Views
1K
Replies
7
Views
1K
  • Classical Physics
Replies
5
Views
335
  • Mechanics
Replies
13
Views
3K
Replies
3
Views
2K
Replies
10
Views
899
  • Mechanics
Replies
5
Views
1K
Replies
8
Views
2K
Back
Top