FINAL TOOLBOX
01 // Chart Studio02 // Visual Solvers03 // Calculators04 // Formulas05 // Unicode & Symbols
03 // Bidirectional STEM Calculators // PHYSICSv = f × λ

Wave Speed, Frequency & Wavelength Calculator

The fundamental wave equation links propagation speed v to oscillation frequency f and spatial wavelength λ across acoustic, mechanical, and electromagnetic waves: v = f × λ.

v = f × λ
Pick which value you want to calculate (or type into any field):Solving for: v — Wave Propagation Speed
Calculated

Phase velocity in the medium in m/s

0.1300,000,000.00

Oscillation cycles per second in Hertz

0.11.0000e+10

Spatial distance between successive wave crests in meters

1.0000e-710,000.00
Calculated Result · Wave Propagation Speed (v)
342.9998m/s
Converted units:

Step-by-Step Calculation

01Canonical Law: v = f × λ
02Given Inputs (Base Units): f = 440 Hz, λ = 0.7795 m
03Solve for v (Wave Propagation Speed): v = 343 m/s

The fundamental wave equation links propagation speed v to oscillation frequency f and spatial wavelength λ across acoustic, mechanical, and electromagnetic waves: v = f × λ.

Real-World Reference Values

Speed of Sound in Dry Air (20 °C)343.0 m/s

Concert A4 (440 Hz) has λ = 77.95 cm

Speed of Sound in Seawater1,500 m/s

Sonar acoustic propagation velocity

Speed of Light in Vacuum (c)299,792,458 m/s

2.4 GHz Wi-Fi wave has λ = 12.49 cm

20-Row Comparison Table

Wave Propagation Speed (v) · Wave Frequency (f)

Wave Speed, Frequency & Wavelength Calculator — Wave Frequency → Wave Propagation Speed
#Wave Frequency (Hz)Wave Propagation Speed (m/s)Δ %
01440 HzCurrent342.9998 m/s0.00%
0272,368,444.30 Hz56,414,458.92 m/s+16447273.71%
03144,736,888.51 Hz112,828,917.75 m/s+32894647.39%
04217,105,332.71 Hz169,243,376.59 m/s+49342021.07%
05289,473,776.92 Hz225,657,835.43 m/s+65789394.75%
06361,842,221.12 Hz282,072,294.27 m/s+82236768.44%
07434,210,665.33 Hz338,486,753.10 m/s+98684142.12%
08506,579,109.53 Hz394,901,211.94 m/s+115131515.80%
09578,947,553.74 Hz451,315,670.78 m/s+131578889.49%
10651,315,997.94 Hz507,730,129.61 m/s+148026263.17%
11723,684,442.15 Hz564,144,588.45 m/s+164473636.85%
12796,052,886.35 Hz620,559,047.29 m/s+180921010.53%
13868,421,330.55 Hz676,973,506.13 m/s+197368384.22%
14940,789,774.76 Hz733,387,964.96 m/s+213815757.90%
151.0132e+9 Hz789,802,423.80 m/s+230263131.58%
161.0855e+9 Hz846,216,882.64 m/s+246710505.27%
171.1579e+9 Hz902,631,341.48 m/s+263157878.95%
181.2303e+9 Hz959,045,800.31 m/s+279605252.63%
191.3026e+9 Hz1.0155e+9 m/s+296052626.31%
201.3750e+9 Hz1.0719e+9 m/s+312500000.00%
Was this tool helpful?

Frequently Asked Questions

How do I calculate antenna wavelength for a radio frequency?+

Lock λ (Wavelength), set v = 299792458 m/s (speed of light), and enter your frequency in MHz or GHz using the inline unit selector.

What happens to wavelength when sound enters water from air?+

Frequency f remains constant across the boundary while wave speed v jumps from 343 m/s to ~1,500 m/s, stretching wavelength λ by 4.37×.

How is wave period T related to frequency f?+

Wave period is the reciprocal of frequency: T = 1 / f seconds per cycle.