Wave Speed Calculator
Calculate wave speed, frequency, or wavelength from the wave equation v = fλ. Enter any two values and the calculator solves for the third — plus the wave period T = 1/f.
Wave Speed Calculator Tool
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Step-by-Step Solution
How This Calculator Works
This calculator uses the wave equation v = fλ — the fundamental relationship connecting wave speed, frequency, and wavelength. Select the quantity you want to find, enter the other two values, and the calculator solves instantly.
Every result also shows the wave period T = 1/f, the time for one complete wave cycle. The step-by-step solution displays the formula used and the substitution so you can verify the calculation or use it in coursework.
All calculations use SI units: wave speed in meters per second (m/s), frequency in hertz (Hz), wavelength in meters (m), and period in seconds (s).
The Wave Equation Formulas Used by This Calculator
Three rearrangements of v = fλ, plus the period relationship:
Solve for Wave Speed
Solve for Frequency
Solve for Wavelength
Period
Wave Speed Reference Values
Use these values when calculating with the wave equation. Sound speed depends on the medium; electromagnetic waves travel at 299,792,458 m/s in a vacuum.
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Frequently Asked Questions
What is the wave equation?
The wave equation is v = fλ. It connects wave speed (v), frequency (f), and wavelength (λ). It applies to all waves — sound, light, water, and seismic.
What is wave speed measured in?
Wave speed is measured in meters per second (m/s) in the SI system.
How do I calculate wavelength from frequency?
Use λ = v ÷ f. Divide the wave speed by the frequency. For sound at 440 Hz in air (343 m/s): λ = 343 ÷ 440 ≈ 0.78 m.
What is the speed of sound in air?
Sound travels at approximately 343 m/s in air at 20 °C. Speed increases with temperature — roughly 0.6 m/s for every 1 °C rise.
What is the speed of light?
Light travels at 299,792,458 m/s in a vacuum. All electromagnetic waves travel at this speed in a vacuum.
What is the relationship between frequency and period?
They are inverses: T = 1/f. If a wave has a frequency of 50 Hz, its period is 0.02 seconds.
Does changing frequency change wave speed?
No. In a given medium, wave speed is determined by the medium alone. If frequency increases, wavelength decreases to keep v = fλ balanced.
Can this calculator be used for electromagnetic waves?
Yes. Enter 299,792,458 m/s as wave speed, then enter either frequency or wavelength. It works for radio, visible light, X-rays, and all electromagnetic waves.