Speed of sound in air and the temperature sea level air pressure calculator ideal gas velocity 20 degrees or 21 degrees Celsius C - sengpielaudio Google Page Rank
 
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Calculation of the  Speed of Sound c
in Air and the effective Temperature •
The important Air Temperature and the nonrelevant
Atmospheric pressure (Air pressure)


At 0°C is ρ0 = 1.293 kg/m3, Z0 = 428 N·s/m3, and c0 = 331 m/s
At 15°C is ρ20 = 1.225 kg/m3, Z20 = 417 N·s/m3, and c20 = 340 m/s
At 20°C is ρ20 = 1.204 kg/m3, Z20 = 413 N·s/m3, and c20 = 343 m/s
At 25°C is ρ20 = 1.184 kg/m3, Z25 = 410 N·s/m3, and c25 = 346 m/s
Air density or density of air ρ, air impedance Z, speed of sound c

The speed of sound in air is determined by the air itself and is not
dependent upon the
amplitude, frequency, or wavelength of the sound.
For an ideal gas the speed of sound depends only on the temperature and
is independent of gas pressure. This dependence also applies to air, in
good approximation and can be regarded as an ideal gas.

What is the speed of sound in air?
Speed of sound depends only on
the temperature of the air.
Forget the air pressure!
"At sea level" is not correct.
Select the temperature unit
and enter the air temperature:
The speed of sound c is:
m/s
Celsius km/h - not kmh!
Fahrenheit mph miles per hour
kelvin ft/s feet per second
Rankine knots
                        
Notice: The speed of sound changes clearly with temperature,
              a little bit with humidity − but not with air pressure (atmospheric pressure).

              The words "sound pressure at sea level" are incorrect and misleading.
              The temperature indication, however, is absolutely necessary.

Google is not correct (look at the following link)
http://www.google.com/search?q=speed+of+sound
Here is the answer of Google: "Speed of sound at sea level = 340.29 m/s".
This is not a good answer, because they forgot to tell us the temperature,
and the given atmospheric pressure "at sea level" makes really no sense.

In SI units with dry air at 20 °C (68 °F), the speed of sound c is 343 m/s.
This also equates to 1235 km/h, 767 mph, 1125 ft/s, or 666 knots.


It makes no sense to give the speed of sound adding the words at the "standard atmosphere at
sea level". The temperature is important.

Statement: The air pressure p and the density ρ of air are proportional at the same temperature.


Weiter

That means, the ratio p / ρ is alwaysconstant on a high mountain, and even at "sea level".
Forget the air pressure, but look accurately at the very important temperature.

Adiabatic index or ratio of specific heats κ (kappa) = cp / cv. Generally we take with sufficient accuracy
the formula (equation) for the speed of sound in air
in m/s vs. temperature Vartheta (theta) in degrees Celsius (centigrade):


 
speed of sound  in m/s. 
 

That gives e.g. at Vartheta = 20 °C a speed of sound c = 331.3 + 0.606 × 20 = 343.42 m/s.
Often the easy calculation will do: c ≈ 331 + 0,6 × 20 = 343 m/s.

 
 1 °C change of temperature is equal to 
 60 cm/s change of speed of sound.

 

With the following formula you can calculate more exactly the speed of sound.

Speed of sound Schall in m/s; temperature Vartheta in °C

The speed of sound c depends on the temperature of air and not on the air pressure!
The humidity of air has some negligible effect on the speed of sound. The air pressure
and the density of air (air density) are proportional to each other at the same temperature.
It applies always p / ρ = constant. rho is the density ρ and p is the sound pressure.


 
 Notice: The speed of sound is alike on a mountain top 
 as well as at sea level with the same air temperature.

 

Look for the following answer of the question: "What is the speed of sound?"

Speed of sound - temperature matters, not air pressure

Density of air (air density) ρ = air pressure p / (gas constant R × temperature in Kelvin)
ρ = p / R × T (kg/m³)


The individual gas constant for dry air is R = 287,05 J/kg · K
Joule J = Newton · Meter = N m and T in Kelvin = °C + 273.15
Atmospheric pressure p0 = 101325 Pa = 1013.25 mbar = 1013.25 hPa and R = 287.05J/kg · K
T0 = 273.15 K at 0°C
ρ0 = 101325 p / R (287.05 × 273.15) = 1.2923 kg/m³
T20 = 293.15 K at 20 °C
ρ20 = 101325 p / R (287.05 × 293.15) = 1.2041 kg/m³


The speed of sound c is not the particle velocity v.
The sound velocity is the particle velocity.

 The speed of sound is called Mach 1 
Mach is commonly used to represent an object's speed, such as an aircraft
or a missile, when it is travelling at the speed of sound or at multiples of it.

Mach Number below 1 means the flow velocity is lower than the speed of sound - and the speed is subsonic.
Mach Number 1 means the flow velocity is the speed of sound - and the speed is transonic.
Mach Number above 1 means the flow velocity is higher than the speed of sound - and the speed is supersonic.

Table (chart): The clear impact of temperature
Speed of sound, density of air, specific acoustic impedance vs. temperature

Temperature
of air vartheta in °C
Speed of sound
c in m/s
Time per 1 m
Δ t in ms/m
Density of air
ρ in kg/m3
Impedance
of air Z in N·s/m3
+35 351.96 2.840 1.1455 403.2
+30 349.08 2.864 1.1644 406.5
+25 346.18 2.888 1.1839 409.4
+20 343.26 2.912 1.2041 413.3
+15 340.31 2.937 1.2250 416.9
+10 337.33 2.963 1.2466 420.5
 +5 334.33 2.990 1.2690 424.3
   0 331.30 3.017 1.2920 428.0
 −5 328.24 3.044 1.3163 432.1
−10 325.16 3.073 1.3413 436.1
−15 322.04 3.103 1.3673 440.3
−20 318.89 3.134 1.3943 444.6
−25 315.72 3.165 1.4224 449.1

Notice: Air pressure p and air density ρ are not the same.

In gases, the higher the velocity of sound, the higher the pitch will be, when you sing.

In conventional use and in scientific literature sound velocity is the same as speed of sound or acoustic velocity.
Sound velocity c should not be confused with sound particle velocity v, which is the velocity of the individual particles.

Approximate speed of sound
in common materials
Medium Speed of sound
       m/s            ft/s
Air, dry at 20 °C 343 1 125
Hydrogen at 0 °C 1 280 4 200
Water at 15 °C 1 500 4 920
Lead 2 160 7 090
Concrete 3 100 10 200
Wood (soft - along the fibre) 3 800 12 500
Glass 5 500 18 500
Steel 5 800 19 000

In a given ideal gas the speed of sound depends only on its temperature. The
speed of sound in still air at 0 degrees Celsius is 331.29 m / s. It depends on the
temperature and material. Since sound is transferred easily through densely
packed molecules, it is faster in denser substances. Thus the speed of sound increases with the stiffness of the material.

On the frequent question: "How much is the speed of sound?" must always follow
the demand: "At what temperature, please?"
Who mentions the barometric pressure, has still something to learn.

Speed of sound and acoustic velocity

Speed is the rate of change of distance with time.
Velocity is a measure of both speed and direction of a moving object.
Velocity is the rate of change of displacement with time.
Speed is a distance an object goes, velocity is measurment of speed AND direction.

In a given ideal gas the sound speed depends only on its temperature. The speed of
sound in still air at 0 degrees Celsius is 331.29 m/s. It depends on the temperature,
and the material. Since sound is more easily transmitted between close molecules,
it travels faster in the denser substance. Thus the speed of sound increases with the
stiffness of the material.

Really wrong answers at "Yahoo! Answers"

How does the speed of sound in air depend on air pressure?

1st wrong answer: Best Answer - Chosen by Voters
Thinner air has less atoms floating around in it than denser (higher pressure) air.
Since sound waves travel faster when unimpeded, less air pressure equates to faster
speed due to decreased atmospheric 'viscosity'.

2nd wrong answer: Speed of sound in air is directly proportional to the square root of
pressure.

The correct answer is: The speed of sound does not depend on air pressure, but on
temperature. Air pressure is not the same as density of air.

Some interesting links to the speed of sound (velocity of sound):
Calculation of the speed of sound in humid air and the air pressure
Calculation of the wavelength of a wave in air when frequency and temperature is known
Speed of sound - temperature matters, not air pressure

Calculations and conversions of pressure units
More conversions of pressure and stress units
Conversions of pressure units

Properties of sound in air

 
Temperature ϑ  (theta):
°C
 ↔  Speed of sound v:
m/s
Frequency f:
Hz
 ↔  Wavelength λ:
m
 
Enter a value in the left or right box, then press the TAB bar or make
a mouse click at an empty area at the side, to get the solution.
The calculator works in both directions of the sign.

Speed and Velocity - The Difference

Speed is the distance in a certain period of time.
Velocity is a measure of both speed and direction of a moving object.
Difference: Speed is a distance an object goes in unit time. Velocity is displacement made in unit time.
Difference: Speed is a scalar quantity − it only has magnitude and cannot be zero. Velocity is a vector quantity − it has both magnitude and direction and it can be zero.

A sentence from Jim March from the news group "The Firing Line Forums":
http://www.thefiringline.com/forums/showthread.php?p=3836426
According to him, altitude (mostly?) doesn't matter (regarding speed of sound),
although of course at some point it must when you get close enough to outer
space.


Answer: In the outer space there is no air and consequently also no sound.


I am not content with this standard table Speed of Sound at Different Altitudes
because it seems to tell us, that the speed of sound has to do with the altitude
(height) above ground and its sound pressure.
The speed of sound has really to do only with the temperature. It's cold up there.

Converter: Fahrenheit to Celsius and Celsius to Fahrenheit

Enter a value in one of the boxes and click ouside of the input field

 
Temperature Fahrenheit:
 °F
 ↔  Temperature Celsius
 °C
 °C = (°F − 32) / 1.8    °F = °C × 1.8 − 32
 
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