Frequency, speed and wavelength calculators

Speed, Frequency and Wavelengh Calculator
This page contains a frequency calculator, as well as calculators with the equation rearranged to make speed and wavelength the subject. The formulas are shown together with other useful information and examples to try. Unit converters (feet to metres and so on) can be found here (opens in a new tab). Note that when considering electromagnetic radiation, such as light, the quantity speed is usually denoted by the letter c, but otherwise the letter v (standing for velocity) is usually used. We will use v on this page in all cases, which is measured in metres per second (m/s).
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To calculate the frequency, enter a velocity (v) in metres per
second (m/s) and a wavelength in metres (m) then click Calculate:


Enter a speed (m/s):
Enter a wavelength (m):

  

The frequency is: Hz

  
Frequency (f)
The equation for frequency is given on the right. Example: A particular AM radio station uses a wavelength of 250 metres. What frequency do we need to tune our receiver to in order to hear the broadcast? Radio waves travel at the speed of light, so in this case v is equal to 299,792,458 metres per second (m/s). Putting these figures (without commas) into the calculator above shows that we need to tune the radio receiver to 1199.2 kHz (or 1.1992 MHz), which is around the middle of the medium wave (MW) band.
The equation for frequency is:     Where:     f = frequency (s-1, or Hz)    v = velocity (m/s, ms-1)    λ = wavelength (m)
Wavelength (λ)
The equation for wavelength is given above right. Example: Microwave ovens use electromagnetic radiation with a frequency close to 2.45 GHz to heat up food. What is the wavelength of the radiation? Radio waves travel at the speed of light, so in this case v is equal to 299,792,458 metres per second (m/s), and 2.45 GHz is 2,450,000,000 Hz, so that’s the frequency. Putting these figures (without commas) into the calculator above shows that the wavelength is 0.122 metres, or 12.2 centimetres.
The equation for wavelength is:   Where:    λ = wavelength (m)    v = velocity (m/s, ms -1 )    f = frequency (s -1 , or Hz)
To calculate the wavelength, enter a velocity (v) in metres per
second (m/s) and a frequency in Hz then click Calculate:


Enter a speed (m/s):
Enter a frequency (Hz):

  

The wavelength is: metres

  
Common metric prefixes kilo (k): 1,000 (thousand) mega (M): 1,000,000 (million) giga (G): 1,000,000,000 (billion) Other metric prefixes are listed here.
Velocity (v)
The equation for velocity is given above right. Example: Sound travels in waves and does so at a particular speed depending on what it is travelling through, such as air, brick or water. To find find the speed of sound in air we can note that the musical note A above middle C has a frequency of 440 Hz and a wavelength of 0.773 metres. Putting these figures into the calculator above shows that the speed of sound in air is close to 340.1 meters per second.
To calculate the velocity, enter a frequency (f) in Hz
and a wavelength in metres (m) then click Calculate:


Enter a frequency (Hz):
Enter a wavelength (m):

  

The velocity is: metres per second (m/s)

  
The equation for velocity is:   Where:    v = velocity (m/s, ms -1 )     f = frequency (s -1 , or Hz)    λ = wavelength (m)