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Calcimator

Wave Speed Calculator

Wave speed from frequency and wavelength (v = fλ).

Inputs

Results

Wave Speed (m/s)

343.2

Period (s)0
Angular Frequency (rad/s)2,764.6
Wave Number (rad/m)8.06
Mach Number1
Wave Speed (km/h)1,235.52
Wave Speed (mph)767.74
Light Speed300,000,000
How to Use This Calculator
  1. Enter wave frequency (Hz) and wavelength (m).
  2. Read wave speed (m/s) calculated from v = f * lambda.
  3. Review period (s), angular frequency (rad/s), and wave number (rad/m).
  4. Check Mach number to compare the wave speed against the speed of sound in air (343 m/s).

How the result changes with Frequency (Hz)

Frequency (Hz)Wave Speed (m/s)
100,000,000,000,00078,000,000,000,000
350,000,000,000,000273,000,000,000,000
650,000,000,000,000507,000,000,000,000
900,000,000,000,000702,000,000,000,000

What each input means

Frequency (Hz)
Wave frequency in hertz (cycles per second).
Wavelength (m)
Distance between consecutive wave peaks.

What each result means

Wave Speed (m/s)
v = fλ.
Period (s)
T = 1/f. Time for one complete cycle.
Angular Frequency (rad/s)
ω = 2πf.
Wave Number (rad/m)
k = 2π/λ.
Mach Number
Speed relative to sound in air (343 m/s).
Wave Speed (km/h)
Speed in kilometers per hour.
Wave Speed (mph)
Speed in miles per hour.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    Frequency (Hz) = 440, Wavelength (m) = 0.78 = 2 input(s) provided
  2. Calculate Wave Speed
    Wave Speed = frequencyHz * wavelengthM
    343.2 = 343.2
  3. Calculate Period
    Period = 1 / frequencyHz
    0.00227 = 0.00227
  4. Calculate Angular Frequency
    Angular Frequency = 2 * π * frequencyHz
    2764.6 = 2764.6

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