🎓 Physics • Waves
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Wavelength Calculator (λ = v / f)
Calculates physical wavelength λ = v / f across acoustic, radio, microwave, and optical spectra.
Universal Wave Mechanics Calculator
Calculate speed, frequency, period, and wavelength via v = f · λ.
Wave Presets:
Sinusoidal Wave ProfilePeriod T = 2.27 ms
Wavelength (λ)
0.7795 m
Period (T = 1/f)2.273 ms
Angular Freq (ω)2764.6 rad/s
Wavenumber (k)8.06 rad/m
Speed (km/h)1234.8 km/h
Step-by-Step Derivation
1. Wave Equation: λ = v / f
2. Substitution: λ = (343 m/s) / (440 Hz)
3. Wavelength: λ = 0.7795 meters (77.95 cm)
4. Period: T = 1 / f = 1 / 440 = 2.273 ms
5. Angular Frequency: ω = 2πf = 2764.60 rad/s | Wave Number: k = 2π/λ = 8.06 rad/m
What is Wavelength?
Wavelength is the spatial distance between successive crests or troughs of a periodic wave.
Formula & Step-by-Step Calculation
λ = v / f
Wave speed divided by frequency.
Worked Step-by-Step Examples
Example 1
FM radio wave at 100 MHz in air (v = 3×10⁸ m/s)
Solution: 3 meters
• 3e8 / 1e8 = 3 meters
Common Real-World & Academic Use Cases
- ✓ Antenna quarter-wave design
- ✓ Optical fiber transmission wavelengths
- ✓ Spectroscopic color identification
How to Use the Wavelength Calculator (λ = v / f)
1
Enter Speed & Frequency
Input m/s and Hz.
2
View Wavelength
Inspect spatial wavelength in meters.
Frequently Asked Questions
Q: What is the wavelength of visible light?
Approximately 380 nm (violet) to 750 nm (red).