StatGardenREF. DESK
Calculators/Physics/Wave speed, frequency & wavelength
Physics

Wave speed, frequency & wavelength calculator

Relates the three properties of any wave.

What this calculator does

Wave speed, frequency & wavelength works out relates the three properties of any wave. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

Formulav = f·λ; for light v = c = 299,792,458 m/s; period T = 1/f

The inputs explained

FieldWhat to enter
Frequency (Hz)A number, measured in Hz. Starts at 440.
Wave speed (m/s)A number, measured in m/s. Starts at 343.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with frequency

Every other input is held at the calculator’s starting values while frequency varies. Select any row to load that scenario into the calculator.

How the answer changes with frequency
Frequency (Hz)WavelengthPeriodAngular frequency
2201.559 m0.004545 s1,382.30 rad/s
3301.039 m0.003030 s2,073.45 rad/s
4400.7795 m0.002273 s2,764.60 rad/s
6600.5197 m0.001515 s4,146.90 rad/s
8800.3898 m0.001136 s5,529.20 rad/s
1,3200.2598 m0.000758 s8,293.80 rad/s