Frequency Calculator
Calculate frequency, period, wavelength and related electromagnetic properties
About Frequency:
Frequency is the number of complete cycles of a periodic wave that occur in a unit of time. It's measured in Hertz (Hz), where 1 Hz = 1 cycle per second. This calculator helps you convert between frequency, period, and wavelength.
Frequency Calculator
1ms
50Hz
60Hz
50Hz
60Hz
1kHz
WiFi
Light Speed
Sound in Air
Results
Enter values to see results
f = 1/T (Frequency = 1/Period)
Common Frequencies
AC Power: 50-60 Hz
AM Radio: 530-1700 kHz
FM Radio: 88-108 MHz
WiFi: 2.4-5 GHz
Light Spectrum
Red Light: ~430 THz
Green Light: ~540 THz
Blue Light: ~670 THz
X-rays: ~10¹⁸ Hz
Key Relationships
- Period-Frequency: T = 1/f and f = 1/T
- Angular Frequency: ω = 2πf (radians/second)
- Angular Period: T = 2π/ω (seconds)
- Wavelength: λ = v/f (where v is wave velocity)
- Angular Wavelength: k = 2π/λ (wavenumber, radians/meter)
Practical Applications
Electronics
For a 555 timer circuit with R = 10kΩ and C = 0.1μF:
T = 0.693 × R × C = 0.693 × 10,000 × 0.0000001 = 0.000693 seconds
f = 1/T = 1/0.000693 = 1443 Hz
f = 1/T = 1/0.000693 = 1443 Hz
Audio Engineering
For middle C note (C4) with frequency 261.63 Hz:
T = 1/f = 1/261.63 = 0.00382 seconds = 3.82 ms
λ = v/f = 343/261.63 = 1.31 meters (wavelength in air)
λ = v/f = 343/261.63 = 1.31 meters (wavelength in air)
Radio Communications
For an FM radio station at 98.5 MHz:
T = 1/f = 1/98,500,000 = 0.0000000102 seconds = 10.2 ns
λ = v/f = 300,000,000/98,500,000 = 3.05 meters
λ = v/f = 300,000,000/98,500,000 = 3.05 meters