Calculation wavelength of an acoustic sound wave in air frequency sound waves temperature and no air pressure speed of sound - sengpielaudio
 
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Calculation of the wavelength of an acoustic wave (sound wave)
in air when frequency and temperature is known
 
Enter the given values in the upper gray boxes and click 'calculate'.
The results will be shown in the lower white boxes. 20°C = 68°F

 
Frequency f  Hz    |   Temperature ϑ  °C
    |  
         |         
    |  
Wavelength λ  cm    |  Speed of sound c  m/s 
 Cycle duration T  ms   |  
 

The wavelength is changing with the changing of the temperature, because the
speed of sound changes with the temperature. The air pressure is irrelevant!

Calculation of the wavelength of radio waves and acoustic waves
 
Calculation of the speed of sound in humid air (with air pressure)
 
Calculation speed of sound in air and the temperature

The formulae (formulas):   c = λ × f        λ = c / f = c × λ        f = c / λ

Physical value Symbol Unit Formula
Frequency f = 1/T Hz = 1/s  f = c / λ 
Wavelength λ m  λ = c / f 
Time period or
cycle duration
T = 1/f  s  T = λ / c 
Wave speed c m/s c = λ × f

Notice: Speed of sound in air c = 343 m/s at 20 C (68 F) or
speed of radio waves and light in a vacuum
c = 299,792,458 m/s ≈ 300,000 km/s.
The propagation speed of electrical signals via optical fiber is about 9/10
the speed of light, that is ≈ 270,000 km/s.
The propagation speed of electrical signals via copper cables is about 2/3
the speed of light, that is ≈ 200,000 km/s.

It may be worth looking how different variables act on the wave.
Take the wave equation (formula):
                                        y(t) = A × (sin ω t + φ) + C
The A is the amplitude and represents one half of the difference between the upper and lower peaks.
The ω is the angular velocity: ω = 2 π f = 2 π / T      There you find the frequency.
The φ is the phase angle, the horizontal offset.
The C is the vertical offset from the x-axis, usually defined as the DC offset of the waveform.

 
"Distance = speed time" is the key to basic wave relationship.

The amplitude A has nothing to do with frequency, wavelength, period of time, and speed of sound.

Difference between speed and velocity

Speed is a distance an object goes. Velocity is a measurement of speed and direction.
Speed is a scalar quantity - it only has magnitude. Sound particle velocity is a vector quantity - it has both
magnitude and direction.
Speed is the first derivative of distance with respect to time.
Velocity is the first derivative of displacement with respect to time.
Speed and velocity are related in much the same way that distance and displacement are related. Speed is a scalar and velocity is a vector.

 
The motion relationship "distance = velocity × time" is the key to the basic wave relationship.

The amplitude A has nothing to do with the frequency, the wavelength, the time duration and the speed of sound.

Speed of sound in different medias

   Media    Speed of sound
PVC soft      80 m/s
Air                 343 m/s at 20°C 
Cork    500 m/s
Helium 1 020 m/s
Water 1 480 m/s
Polystyrol 1 800 m/s
Plexiglas 1 840 m/s
Concrete 3 100 m/s
Tile 3 600 m/s
Pine wood 3 600 m/s
Granite 3 950 m/s
Oak wood 4 100 m/s
Iron 5 000 m/s
Steel 5 050 m/s
Aluminium 5 200 m/s
Quartz glas 5 400 m/s

Conversion of the acoustic frequency to wavelength and vice versa

To use the calculator, simply enter a value.
The calculator works in both directions of the
sign.
Sound frequency f 
Hz
 ↔  Wavelength λ 
m
f = c / λ   λ = c / f
Speed of sound c = λ × f = 343 m/s at 20C

Conversion of the radio frequency to wavelength and vice versa

To use the calculator, simply enter a value.
The calculator works in both directions of the
sign.

Radio frequency f
Hz 
 ↔  Wavelength λ
f = c / λ   λ = c / f
Speed of light c = λ × f = 299792458 m/s
Amplitude a, Period T and Wavelength λ

Wavelength and period
 
y = sound pressure p (sound pressure amplitude).
If the graph shows at the x axis the time t, we see the period T = 1 / f.
If the graph shows at the x axis the distance d, we see the wavelength λ.
The largest deflection or elongation is referred to as amplitude a.

The amplitude a (strength of the wave or loudness) has nothing to do with the period, the frequency, and the wavelength.
 
Question: "What is an amplitude?"; see:
http://www.sengpielaudio.com/calculator-amplitude.htm
 
There is not only "one" amplitude. There are many amplitudes; see:
"Soundfield Quantities of a Plane Wave − Amplitudes"

http://www.sengpielaudio.com/SoundfieldQuantitiesPlaneWaveAmplitude.pdf
 
Standing waves or acoustical resonances use amplitudes; see:
http://www.sengpielaudio.com/RoomModesAndStringVibrations.pdf

A typical question: What is the relationship between wavelength, temperature and frequency?

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