What effect the speed of sound?

Click For Summary
SUMMARY

The speed of sound is significantly influenced by the medium through which it travels, particularly in gases where factors such as temperature, gas type, and specific heat capacities play crucial roles. The formula for the speed of sound in a gaseous medium is expressed as sqrt(gamma*R*T/M), where gamma represents the ratio of specific heats, R is the gas constant, T is the temperature, and M is the molar mass of the gas. Frequency does not affect the speed of sound in most common media, as the relationship v=f*wavelength indicates that speed remains constant for a given medium. However, in dispersive media, the speed can vary with frequency.

PREREQUISITES
  • Understanding of the speed of sound formula: speed = sqrt(gamma*R*T/M)
  • Knowledge of specific heat capacities (Cp and Cv) of gases
  • Familiarity with the concepts of frequency and wavelength in wave mechanics
  • Basic principles of dispersive media and their effects on sound propagation
NEXT STEPS
  • Research the specific heat capacities of various gases and their impact on sound speed
  • Explore the concept of dispersive media and its implications for sound waves
  • Study the relationship between frequency and wavelength in wave mechanics
  • Investigate the effects of temperature on the speed of sound in different gases
USEFUL FOR

Students studying physics, particularly those interested in acoustics, sound wave propagation, and the properties of gases. This discussion is also beneficial for educators and anyone seeking to deepen their understanding of the factors affecting sound speed in various media.

n3w ton
Messages
19
Reaction score
0
I know that temperature effects the speed of sound.

Can this also effect the speed of sound?
-Frequency : high or low?
-Gas type : if its traveling through oxygen or helium ? How would they compare? Does their mass play a part and heat capacity?

My attempt: I think the gas type will make a difference in the speed of sound because different gases will have different heat capacity's. If a atom can hold more 'heat' than the sound can travel through it faster. Though I am not sure how its atomic mass would contribute to the speed of sound...

Also I read that freqency does not play a role in the speed of sound becaue v=f*wavelength, since v is a constant and F is an inverse of wavelength.

Please reply thanks! (im in grade 11)
 
Physics news on Phys.org
The speed of sound depends on the medium. So definitely will be different in different gases.
In it also depends on polarization of the wave (for solid media).
The speed may also depend on frequency. It depends on the medium, again. And also on frequency range.

If this happens we have what is called a dispersive medium.
For most usual cases the media (gas, liquid, solid) are only weakly dispersive (or not at all) and you can assume that the speed of audible sound waves is independent on frequency.
On the other side some sound waves in thin plates are strongly dispersive even at relatively low frequency.
 

Similar threads

  • · Replies 31 ·
2
Replies
31
Views
4K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
6
Views
3K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
2
Views
5K
  • · Replies 3 ·
Replies
3
Views
4K