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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.
== Table - Speed of sound in air, density of air, acoustic impedance vs. temperature ==

{| border="1" cellpadding="1" cellspacing="0"
|colspan="4" align="center" | ''' Impact of temperature '''
|-
| °C|| c || ρ || Z
|-
| - 10 || 325.4 || 1.341 || 436.5
|-
| - 5 || 328.5 || 1.316 || 432.4
|-
| 0 || 331.5 || 1.293 || 428.3
|-
| + 5 || 334.5 || 1.269 || 424.5
|-
| + 10 || 337.5 || 1.247 || 420.7
|-
| + 15 || 340.5 || 1.225 || 417.0
|-
| + 20 || 343.4 || 1.204 || 413.5
|-
| + 25 || 346.3 || 1.184 || 410.0
|-
| + 30 || 349.2 || 1.164 || 406.6
|}


See also ]. See also ].

Revision as of 17:27, 2 April 2004


The speed of sound c (mostly in air) 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. The humidity affects very little the speed of sound nor does it the static sound pressure, but most important is the temperature. Sound travels slower with an increased altitude (elevation if you're on solid earth). This is primarily a function of temperature and humidity changes and not the sound pressure. An approximate speed (in metres/second) can be calculated from:

c a i r = ( 331 . 5 + 0 . 6   ⋅ ϑ )   m / s {\displaystyle c_{\mathrm {air} }=(331{.}5+0{.}6\ \cdot \vartheta )\ \mathrm {m/s} }

where ϑ {\displaystyle \vartheta } (theta) is the temperature in degrees Celsius.

A more accurate expression is

c = γ R T {\displaystyle c={\sqrt {\gamma RT}}}

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 288.15 K (= 15°C, 59°F), giving a value of 340 m/s (= 1225 km/h, 761 mph, 661 knots).

In fact, assuming a perfect gas the speed of sound depends on temperature only, not on the pressure. Air is almost a perfect gas. The temperature of the air varies with altitude, giving the following variations in the speed of sound using the standard atmosphere (actual condititions may vary)

Altitude Temperature m/s km/h mph knots
Sea level 15°C (59°F) 340 1225 761 661
11000m-20000m
(Cruising altitude of commercial jets,
and first supersonic flight) 		-57°C (-70°F) 295 1062 660 574
29000m (Flight of X-43A) -48°C (-53°F) 301 1084 674 585

In fluids, using the theory of compressible flow, the speed of sound can be calculated using

c = γ p ρ {\displaystyle c={\sqrt {{\gamma p} \over \rho }}}

This is correct for adiabatic flow; Newton famously used isothermal calculations and omitted the γ from the numerator.

In solids the speed of sound is given by:

c = E ρ {\displaystyle c={\sqrt {\frac {E}{\rho }}}}

where E is Young's modulus and ρ is density. Thus in steel the speed of sound is approximately 5100 m/s.
For air, see density of air.

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.

Table - Speed of sound in air, density of air, acoustic impedance vs. temperature

Impact of temperature
°C c ρ Z
- 10 325.4 1.341 436.5
- 5 328.5 1.316 432.4
0 331.5 1.293 428.3
+ 5 334.5 1.269 424.5
+ 10 337.5 1.247 420.7
+ 15 340.5 1.225 417.0
+ 20 343.4 1.204 413.5
+ 25 346.3 1.184 410.0
+ 30 349.2 1.164 406.6

See also Mach number.

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