| Revision as of 04:39, 5 June 2003 editTim Starling (talk | contribs)Administrators9,971 edits rm confused sentence on origin of linearity, mucked around with formulas← Previous edit | Revision as of 20:32, 16 June 2003 edit undo213.115.14.213 (talk) htmlmath -> texmathNext edit → | ||
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| More commonly the term refers to the speed of sound in ]. In this case the physical properties of the air, its ] and ] for instance, affect the speed. An approximate speed can be calculated from: | More commonly the term refers to the speed of sound in ]. In this case the physical properties of the air, its ] and ] for instance, affect the speed. An approximate speed can be calculated from: | ||
| : |
:<math>v = 331 + (0.6T)</math> | ||
| where ''T'' is the temperature in degrees ] | |||
| A more accurate expression is | A more accurate expression is | ||
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| :<math>v = \sqrt{\gamma RT}</math> | :<math>v = \sqrt{\gamma RT}</math> | ||
| where ''R'' is the ] (287 J/kgK for air), γ is the ] (1.4 for air) | where ''R'' is the ] (287 J/kgK for air), γ is the ] (1.4 for air), and ''T'' is the absolute temperature in ]. In the standard atmosphere, ''T''<sub>0</sub> is 288.2 K, giving a value of 340 m/s. | ||
| and ''T'' is the absolute temperature in ]. In the standard atmosphere, ''T''<sub>0</sub> | |||
| is 288.2 K, giving a value of 340 m/s. | |||
| The speed of sound is typically measured given a "standard atmosphere". Under these conditions the speed of sound is approximately 343 ], or 750 miles/hour. | The speed of sound is typically measured given a "standard atmosphere". Under these conditions the speed of sound is approximately 343 ], or 750 miles/hour. | ||
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| In solids the speed of sound is given by: | In solids the speed of sound is given by: | ||
| :<math>v = (\frac{E}{\rho})^\frac{1}{2}</math> | |||
| : ''v'' = (''E'' / ρ)<sup>1/2</sup>, where ''E'' is ] and ρ is ]. | |||
| Thus in ] the speed of sound is approximately 5100 m/s. | where ''E'' is ] and ρ is ]. Thus in ] the speed of sound is approximately 5100 m/s. | ||
| The speed of sound in water is of interest to those mapping the ] floor. In saltwater, sound travels at about 1500 m/s and in freshwater 1435 m/s. These speeds vary due to pressure, depth, temperature, salinity and other factors. | The speed of sound in water is of interest to those mapping the ] floor. In saltwater, sound travels at about 1500 m/s and in freshwater 1435 m/s. These speeds vary due to pressure, depth, temperature, salinity and other factors. | ||
Revision as of 20:32, 16 June 2003
The speed of sound varies depending on the medium through which the sound waves pass. It is usually quoted in describing properties of substances (e.g. see the article on sodium).
More commonly the term refers to the speed of sound in air. In this case the physical properties of the air, its pressure and humidity for instance, affect the speed. An approximate speed can be calculated from:
where T is the temperature in degrees Celsius
A more accurate expression is
where R is the gas constant (287 J/kgK for air), γ is the adiabatic index (1.4 for air), and T is the absolute temperature in kelvin. In the standard atmosphere, T0 is 288.2 K, giving a value of 340 m/s.
The speed of sound is typically measured given a "standard atmosphere". Under these conditions the speed of sound is approximately 343 m/s, or 750 miles/hour.
In solids the speed of sound is given by:
where E is Young's modulus and ρ is density. Thus in steel the speed of sound is approximately 5100 m/s.
The speed of sound in water is of interest to those mapping the ocean floor. In saltwater, sound travels at about 1500 m/s and in freshwater 1435 m/s. These speeds vary due to pressure, depth, temperature, salinity and other factors.
See also Mach number.