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Common Units
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Guide

Frequency Converter

Important Note: Frequency is the number of cycles per unit time (f = 1/T). It represents oscillations, waves, and periodic phenomena. Critical in electronics, telecommunications, and wave physics.

Common Frequency Units

Hertz
Hz

SI unit of frequency. 1 Hz = 1 cycle per second. Base unit for all frequency measurements.

Kilohertz
kHz

1,000 Hz. Common in audio frequencies, AM radio, and low-frequency electronics.

Megahertz
MHz

1,000,000 Hz. Used in FM radio, TV broadcasts, and computer processors.

Gigahertz
GHz

1,000,000,000 Hz. Microwave frequencies, WiFi, Bluetooth, and modern CPUs.

Terahertz
THz

1,000,000,000,000 Hz. Infrared radiation, molecular vibrations, and advanced imaging.

RPM
RPM

Revolutions per minute. Mechanical rotation frequency for motors, engines, and rotating machinery.

Frequency Conversion Table

Unit Hertz (Hz) Period (seconds) Wavelength (c=3×10⁸ m/s) Common Application
1 Hz11 s3×10⁸ mPower line frequency
1 kHz1,0001 ms300 kmAudio frequencies
1 MHz10⁶1 μs300 mAM/FM radio
1 GHz10⁹1 ns30 cmMicrowave, WiFi
1 THz10¹²1 ps300 μmInfrared radiation
1 PHz10¹⁵1 fs300 nmVisible light

Frequency Formulas & Calculations

Basic Frequency Formula
f = 1/T
Frequency = 1 / Period

Fundamental relationship between frequency and period. T is the time for one complete cycle.

Wave Equation
c = f × λ
Wave speed = Frequency × Wavelength

Relates frequency to wavelength through wave speed. For electromagnetic waves, c = 3×10⁸ m/s.

Angular Frequency
ω = 2πf
Angular frequency = 2π × Frequency

Angular frequency in radians per second. Used in oscillatory motion and AC circuits.

Doppler Effect
f' = f(v±vᵣ)/(v±vₛ)
f' = observed frequency

Frequency change due to relative motion between source and observer.

Resonant Frequency (LC Circuit)
f = 1/(2π√LC)
f = resonant frequency

Natural frequency of LC oscillator circuit. L is inductance, C is capacitance.

Beat Frequency
fᵦ = |f₁ - f₂|
Beat frequency = |freq₁ - freq₂|

Frequency of amplitude modulation when two close frequencies interfere.

Electromagnetic Spectrum Frequencies

Band Frequency Range Wavelength Range Applications
ELF (Extremely Low)3-30 Hz10⁴-10⁵ kmPower lines, submarine communication
VLF (Very Low)3-30 kHz10-100 kmNavigation, time signals
LF (Low)30-300 kHz1-10 kmAM radio, beacons
MF (Medium)300 kHz-3 MHz100-1000 mAM broadcasting
HF (High)3-30 MHz10-100 mShortwave, amateur radio
VHF (Very High)30-300 MHz1-10 mFM radio, TV, aircraft
UHF (Ultra High)300 MHz-3 GHz10 cm-1 mTV, cell phones, GPS
SHF (Super High)3-30 GHz1-10 cmWiFi, Bluetooth, radar
EHF (Extremely High)30-300 GHz1-10 mmMillimeter wave, 5G
Important: Frequency is inversely proportional to wavelength. Higher frequencies have shorter wavelengths and typically carry more energy per photon.

Frequency Examples & Applications

🔊 Audio Frequencies
  • Human hearing range: 20 Hz - 20 kHz
  • Bass frequencies: 20-250 Hz
  • Midrange: 250 Hz - 4 kHz
  • Treble: 4-20 kHz
  • Musical note A4: 440 Hz
  • Piano range: 27.5 Hz - 4.2 kHz
📻 Radio & Broadcasting
  • AM radio: 530-1700 kHz
  • FM radio: 88-108 MHz
  • TV VHF: 54-216 MHz
  • TV UHF: 470-890 MHz
  • Cell phones: 800 MHz - 2.6 GHz
  • WiFi: 2.4 GHz, 5 GHz
💻 Computer & Digital
  • CPU clock: 1-5 GHz
  • RAM frequency: 1.6-5.2 GHz
  • USB 2.0: 480 MHz
  • PCIe Gen4: 16 GHz
  • Ethernet: 10 MHz - 1 GHz
  • Crystal oscillator: 32.768 kHz
🔬 Scientific & Medical
  • MRI imaging: 64-400 MHz
  • Ultrasound: 1-15 MHz
  • X-ray: 3×10¹⁶ - 3×10¹⁹ Hz
  • Visible light: 4×10¹⁴ - 8×10¹⁴ Hz
  • Microwave oven: 2.45 GHz
  • NMR spectroscopy: 100-900 MHz

Natural & Biological Frequencies

🧠 Brain Waves

Delta: 0.5-4 Hz (deep sleep)

Theta: 4-8 Hz (meditation)

Alpha: 8-12 Hz (relaxed)

Beta: 12-30 Hz (active thinking)

Gamma: 30-100 Hz (high cognition)

💓 Biological Rhythms

Heart rate: 1-3 Hz (60-180 BPM)

Breathing: 0.2-0.5 Hz (12-30/min)

Blinking: 0.3 Hz (20/min)

Walking: 1-2 Hz

Circadian: 1.16×10⁻⁵ Hz (24 hours)

🌍 Earth & Space

Schumann resonance: 7.83 Hz

Earth rotation: 1.16×10⁻⁵ Hz

GPS satellites: 1.57 GHz

Pulsar PSR B1919+21: 1.337 Hz

Hydrogen line: 1.42 GHz

Frequency Guide & Applications

📏 Understanding Frequency
  • Definition: Number of cycles per unit time
  • SI Unit: Hertz (Hz) = 1/second
  • Relationship: f = 1/T (period)
  • Range: DC (0 Hz) to gamma rays (10²⁴ Hz)
🎯 Frequency Classifications
  • Audio: 20 Hz - 20 kHz
  • Radio: 3 kHz - 300 GHz
  • Microwave: 300 MHz - 300 GHz
  • Infrared: 300 GHz - 400 THz
  • Visible: 400-800 THz
  • UV/X-ray/Gamma: >800 THz
🌍 Applications by Field
  • Electronics: kHz-GHz for circuits
  • Communications: MHz-GHz for wireless
  • Medical: MHz for imaging, therapy
  • Scientific: All ranges for research
🔧 Measurement Tools
  • Frequency counter: Digital measurement
  • Oscilloscope: Waveform analysis
  • Spectrum analyzer: Frequency domain
  • Signal generator: Reference frequencies
⚠️ Important Considerations
  • Bandwidth: Range of frequencies
  • Harmonics: Multiple frequencies
  • Interference: Frequency conflicts
  • Regulations: Licensed frequency bands
🔄 Conversion Tips
  • Prefixes: k=10³, M=10⁶, G=10⁹, T=10¹²
  • Period relation: T = 1/f
  • Angular freq: ω = 2πf
  • Wavelength: λ = c/f

Frequency Measurement Best Practices

Professional Tips:
  • Use appropriate measurement bandwidth for accurate readings
  • Consider temperature stability for precision measurements
  • Account for Doppler effects in moving systems
  • Understand aliasing effects in digital sampling
  • Use calibrated reference sources for accuracy
  • Consider regulatory compliance for RF applications
  • Account for harmonics and spurious signals