Frequency Converter
Hz · kHz · MHz · GHz · THz · RPM · RPS · rad/s
Convert frequency units instantly — Hz, kHz, MHz, GHz, THz, RPM and more.
1 Hertz =
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Kilohertz
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To
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Frequency Conversion Table
| Hz | kHz | MHz | GHz |
|---|---|---|---|
| 1 Hz | 0.001 kHz | 0.000001 MHz | 0.000000001 GHz |
| 1,000 Hz | 1 kHz | 0.001 MHz | 0.000001 GHz |
| 1,000,000 Hz | 1,000 kHz | 1 MHz | 0.001 GHz |
| 1,000,000,000 Hz | 1,000,000 kHz | 1,000 MHz | 1 GHz |
1 MHz = 1,000 kHz = 10⁶ Hz
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1 GHz = 10⁹ Hz
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1 RPM = 1/60 Hz
About Frequency Units
Frequency measures how many times a periodic event repeats per second. The SI unit is the Hertz (Hz), named after Heinrich Hertz. Beyond Hz, multiples like kHz, MHz and GHz are used across electronics, communications and physics, while RPM connects rotational mechanics to frequency, and rad/s bridges frequency with angular velocity.
📡 SI Frequency Units
1 kHz = 1,000 Hz · 1 MHz = 10⁶ Hz · 1 GHz = 10⁹ Hz · 1 THz = 10¹² Hz. Audio range is 20 Hz–20 kHz. Radio frequencies span kHz to GHz. Processor clocks run at GHz. The prefix chain: Hz → kHz → MHz → GHz → THz, each 1,000× larger.
⚙️ Rotational & Angular Units
RPM (revolutions per minute) connects rotation to frequency: 1 RPM = 1/60 Hz. RPS (revolutions per second) = 1 Hz. Angular frequency in rad/s = 2π × frequency in Hz. A 3,000 RPM motor runs at 50 Hz = 314.16 rad/s. These conversions are essential in motors, engines and signal processing.
Worked Examples
AC Power Supply (India/EU)
50 Hz = 3,000 RPM
= 0.05 kHz
= 50 cycles/s
= 314.16 rad/s
2-pole motor synchronous speed
= 50 cycles/s
= 314.16 rad/s
2-pole motor synchronous speed
FM Radio Station
100 MHz = 10⁸ Hz
= 100,000 kHz
= 0.1 GHz
= 10⁸ cycles/s
Wavelength = 3 metres
= 0.1 GHz
= 10⁸ cycles/s
Wavelength = 3 metres
WiFi 2.4 GHz Band
2.4 GHz = 2,400 MHz
= 2,400,000 kHz
= 2.4 × 10⁹ Hz
= 144,000 RPM
Wavelength ≈ 12.5 cm
= 2.4 × 10⁹ Hz
= 144,000 RPM
Wavelength ≈ 12.5 cm
Car Engine at 3,000 RPM
3,000 RPM = 50 Hz
= 50 RPS
= 0.05 kHz
= 314.16 rad/s
Highway cruising for most engines
= 0.05 kHz
= 314.16 rad/s
Highway cruising for most engines
Who Uses Frequency Conversion?
Electronics Engineers
Convert between Hz, kHz and MHz when designing oscillators, filters and timing circuits. CPU clock speeds in GHz, crystal oscillators in MHz, and audio circuits in Hz all require cross-unit calculations.
RF & Telecom Engineers
Calculate wavelength from frequency (λ = c/f) for antenna design. Convert between MHz, GHz and channel numbers for 4G/5G band planning, WiFi channel configuration and satellite communications.
Mechanical Engineers
Convert RPM to Hz or rad/s for vibration analysis, resonance calculations and motor-driven system design. Critical for balancing rotating machinery and avoiding resonance frequencies.
Audio Engineers
Work in Hz and kHz for speaker crossover design, equalizer settings, sample rates (44.1 kHz, 48 kHz) and acoustic analysis. Human hearing spans 20 Hz to 20 kHz.
Physicists & Chemists
Convert between frequency (Hz) and wavelength or energy (E = hf) for spectroscopy, NMR (MHz), X-ray (PHz) and visible light (THz) applications in research and laboratory work.
Physics Students
Convert between Hz and rad/s (ω = 2πf) for wave mechanics, oscillation problems and AC circuit analysis. Also convert RPM to Hz for rotational kinetics assignments.
Mental Math Tips
RPM ÷ 60 = Hz
1 revolution per minute = 1/60 revolutions per second = 1/60 Hz. Quick: 3,000 RPM ÷ 60 = 50 Hz. Reverse: Hz × 60 = RPM. A 50 Hz supply = 3,000 RPM synchronous speed (2-pole motor). 60 Hz (US) = 3,600 RPM.
Hz × 6.28 = rad/s
1 Hz = 2π rad/s ≈ 6.2832 rad/s. Quick: Hz × 6 is a rough estimate. Example: 50 Hz × 6.28 = 314 rad/s (exact: 314.16). Reverse: rad/s ÷ 6.28 = Hz. Used to convert angular frequency (ω) to ordinary frequency (f).
MHz ↔ kHz: move the decimal 3 places
1 MHz = 1,000 kHz = 1,000,000 Hz. MHz to kHz: multiply by 1,000 (move right 3). kHz to MHz: divide by 1,000 (move left 3). Example: 2,400 MHz = 2.4 GHz = 2,400,000 kHz. All SI prefix conversions follow the same ×1,000 rule per step.
Frequently Asked Questions — Frequency Converter
Frequency measures how many times a repeating event occurs per second. The SI unit is the Hertz (Hz) = 1 cycle per second. Human hearing range: 20 Hz to 20 kHz. Visible light: 430 to 770 THz. Radio waves span kHz to GHz. Higher frequency = more energy (E = hf).
1 MHz = 1,000,000 Hz = 1,000 kHz. The prefix mega = 10⁶. Common values: AM radio = 0.54–1.6 MHz, FM radio = 87.5–108 MHz, WiFi 2.4 GHz = 2,400 MHz, modern CPUs = 1,000–5,000 MHz (1–5 GHz).
5G uses sub-6 GHz bands (600 MHz to 6 GHz) for broad coverage, and mmWave bands (24–40 GHz) for ultra-high speed. Most common 5G mid-band: 3.5 GHz = 3,500 MHz = 3,500,000 kHz. mmWave at 28 GHz = 28,000 MHz.
Divide by 60: Hz = RPM / 60. Because 1 revolution per minute = 1/60 revolutions per second. Example: 3,000 RPM = 50 Hz. Reverse: RPM = Hz × 60. A 50 Hz supply gives 3,000 RPM synchronous speed for a 2-pole motor.
For EM waves: wavelength = speed of light / frequency. c = 3 × 10⁸ m/s. FM radio at 100 MHz: λ = 3 metres. WiFi at 2.4 GHz: λ ≈ 12.5 cm. Higher frequency = shorter wavelength.
Divide by 2π (≈6.2832): f (Hz) = ω (rad/s) / 2π. Because one full cycle = 2π radians. Example: 100 rad/s / 6.2832 ≈ 15.92 Hz. Reverse: ω = 2πf. A 50 Hz supply: ω = 314.16 rad/s.
Human hearing: 20 Hz–20 kHz · AM radio: 535 kHz–1.7 MHz · FM radio: 87.5–108 MHz · 4G LTE: 700 MHz–2.5 GHz · WiFi 2.4 GHz: 2,400–2,485 MHz · WiFi 5 GHz: 5,150–5,850 MHz · 5G sub-6: up to 6 GHz · Microwave oven: 2.45 GHz · Visible light: 430–770 THz.