Frequency Conversion
Convert between Hz, kHz, MHz, GHz, THz and compute period (T = 1/f), wavelength (ฮป = c/f), and angular frequency (ฯ = 2ฯf). Includes musical note frequencies and photon energy E = hf. Essential for waves, acoustics, and electromagnetics.
Did our AI summary help? Let us know.
Standard prefixes: kHz (10ยณ), MHz (10โถ), GHz (10โน), THz (10ยนยฒ). A440 = 440 Hz (concert pitch); middle C โ 262 Hz. Visible light: 400โ790 THz; wavelength 380โ750 nm. Photon energy E = hf; h = 6.626ร10โปยณโด Jยทs (Planck constant).
Ready to run the numbers?
Why: Frequency conversion is needed for RF design, audio engineering, optics, and wave analysis. Different fields use Hz, kHz, MHz, or GHz; period and wavelength provide alternative views.
How: 1 kHz = 1000 Hz; 1 MHz = 10โถ Hz. Period T = 1/f (seconds). Wavelength ฮป = c/f for light (c = 3ร10โธ m/s). Angular frequency ฯ = 2ฯf rad/s. E = hf for photon energy.
Run the calculator when you are ready.
๐ Wave Speed Presets
๐ Input
For educational and informational purposes only. Verify with a qualified professional.
๐ฌ Physics Facts
Concert A = 440 Hz; equal temperament divides octave into 12 semitones (2^(1/12) ratio).
โ Musical acoustics
Red light ~400 THz (750 nm); violet ~790 THz (380 nm). Frequency determines color.
โ Optics
AM radio: 535โ1705 kHz; FM: 88โ108 MHz; wavelength ฮป = c/f.
โ FCC
Photon energy E = hf; 1 eV โ 2.42ร10ยนโด Hz (visible light ~1.5โ3 eV).
โ Quantum physics
What is Frequency?
Frequency measures how many complete cycles of a periodic event occur per unit time. The SI unit is the Hertz (Hz), equal to one cycle per second. Frequency is fundamental to understanding waves, oscillations, electromagnetic radiation, sound, and countless engineering applications.
Frequency Units
Hz (1), kHz (10ยณ), MHz (10โถ), GHz (10โน), THz (10ยนยฒ)
Period
Time for one complete cycle. Inverse of frequency.
Wavelength
Spatial distance of one complete cycle in a wave.
Electromagnetic Spectrum & Frequency Bands
| Band | Frequency Range | Applications | Category |
|---|---|---|---|
| Infrasound | 0.0000 Hz - 20.0000 Hz | Earthquakes, elephants | Sub-audio |
| Audio (Low) | 20.0000 Hz - 250.0000 Hz | Bass, drums | Audio |
| Audio (Mid) | 250.0000 Hz - 4.0000 kHz | Voice, instruments | Audio |
| Audio (High) | 4.0000 kHz - 20.0000 kHz | Treble, harmonics | Audio |
| Ultrasound | 20.0000 kHz - 1.0000 GHz | Medical imaging, sonar | Ultrasonic |
| VLF Radio | 3.0000 kHz - 30.0000 kHz | Submarine comms | Radio |
| LF Radio | 30.0000 kHz - 300.0000 kHz | Navigation | Radio |
| MF Radio | 300.0000 kHz - 3.0000 MHz | AM broadcast | Radio |
| HF Radio | 3.0000 MHz - 30.0000 MHz | Shortwave | Radio |
| VHF | 30.0000 MHz - 300.0000 MHz | FM radio, TV | Radio |
| UHF | 300.0000 MHz - 3.0000 GHz | Cell phones, WiFi | Radio |
| Microwave | 3.0000 GHz - 300.0000 GHz | Radar, 5G | Microwave |
When to Use Frequency Conversions
RF Engineering
Radio, WiFi, cellular, antenna design, signal processing
Audio & Music
Tuning, synthesis, speaker design, audio processing
Mechanical Systems
Vibration, RPM, oscillations, resonance analysis
Frequently Asked Questions
What does "GHz", "MHz", and "kHz" mean in the Bloomberg Terminal risk indicator?
The Bloomberg Terminal risk indicator categorizes frequency ranges: "GHz" (f > 1 GHz) indicates gigahertz frequencies used in microwave, radar, and high-speed digital systems. "MHz" (1 MHz - 1 GHz) represents megahertz frequencies common in radio, TV, and computer processors. "kHz" (<1 MHz) indicates kilohertz frequencies used in audio, low-frequency radio, and timing circuits.
How do I convert between frequency and period?
Period (T) and frequency (f) are inversely related: T = 1/f and f = 1/T. If frequency is 100 Hz, period is 0.01 seconds (10 ms). Higher frequency means shorter period. The calculator automatically calculates period for any input frequency.
What is the relationship between frequency and wavelength?
Wavelength (ฮป) = wave speed (v) / frequency (f). For electromagnetic waves in vacuum, ฮป = c/f where c = 299,792,458 m/s (speed of light). Higher frequency means shorter wavelength. For sound in air, ฮป = 343/f at 20ยฐC. The calculator supports custom wave speeds.
How do musical notes relate to frequency?
Musical notes follow equal temperament: each semitone is 2^(1/12) times the previous frequency. A4 (concert A) is 440 Hz. The calculator converts frequencies to nearest musical notes and shows deviation in cents (1 cent = 1/100 semitone).
What is angular frequency?
Angular frequency (ฯ) = 2ฯf, measured in radians per second. It represents the rate of angular rotation in circular motion or oscillations. For example, 60 Hz AC has angular frequency of 377 rad/s. Angular frequency is used in AC circuit analysis and mechanical vibrations.
How do I convert RPM to Hz?
RPM (revolutions per minute) converts to Hz by dividing by 60: f(Hz) = RPM/60. For example, 3600 RPM = 60 Hz. The calculator supports RPM input and automatically converts to Hz and other frequency units.
What frequency bands are used for different applications?
Audio: 20 Hz - 20 kHz (human hearing). AM Radio: 530-1700 kHz. FM Radio: 88-108 MHz. WiFi: 2.4 GHz, 5 GHz. Cellular: 700 MHz - 6 GHz. Microwave: 1-300 GHz. Visible Light: 400-800 THz. The calculator identifies which frequency band your input belongs to.
๐ Official Data Sources
โ ๏ธ Disclaimer
Disclaimer: This calculator provides frequency conversions and calculations based on standard physics formulas. Wavelength calculations assume ideal wave propagation. Actual frequencies may vary due to Doppler effects, medium properties, and measurement conditions. For critical applications (RF engineering, audio production, scientific research), always verify with calibrated instruments and account for real-world effects. This calculator is for educational and preliminary analysis purposes only.
Related Calculators
dB Gain Calculator
Calculate amplifier gain in decibels. Convert between voltage, power, and dB gain units.
PhysicsBeat Frequency Calculator
Calculate beat frequency from two interfering sound waves. Analyze frequency differences and tuning applications.
PhysicsdB Calculator
Convert between decibels and power/voltage ratios. Analyze sound levels and signal strength.
PhysicsDoppler Effect Calculator
Calculate frequency shifts for moving sound sources and observers. Analyze redshift and blueshift.
PhysicsHelmholtz Resonator Calculator
Calculate resonant frequency of Helmholtz resonators. Design acoustic absorbers and bass traps.
PhysicsSound Wavelength Calculator
Calculate sound wavelength from frequency. Analyze room modes and standing wave patterns.
Physics