Blucalculator Open Tool

Frequency Unit Converter

Convert frequency between hertz, kilohertz, megahertz, gigahertz, terahertz, and RPM.

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How to use this calculator

Three inputs, six outputs.

Frequency is the number you’re starting with. Enter it in the input field. Works with decimals and large numbers.

From unit is your source unit. The dropdown includes: Hertz (Hz), Kilohertz (kHz), Megahertz (MHz), Gigahertz (GHz), Terahertz (THz), and RPM (revolutions per minute).

To unit is your target. Same list.

Click Calculate and the blue results panel shows your converted value plus all equivalent frequencies simultaneously: Hz, kHz, MHz, GHz, RPM, and period in milliseconds (ms). That last one, period, is how long each cycle takes. It’s the inverse of frequency and useful any time you’re thinking about timing rather than rate.

Example: 1000 Hz converted

Frequency: 1000 / From unit: Hertz (Hz)

Results all at once:

  • Hz: 1,000.00
  • kHz: 1.00
  • MHz: 0.001
  • GHz: 0.000001
  • RPM: 59,998.80
  • Period (ms): 1.00 ms

1000 Hz = 1 kHz = a cycle happening 1,000 times per second, with each cycle taking exactly 1 millisecond.

The period output is in milliseconds (ms). For very high frequencies (MHz, GHz), the period is a tiny fraction of a millisecond. For 1 GHz, the period is 0.000001 ms = 1 nanosecond. The calculator handles this automatically, but mentally the numbers get very small very fast at the high end.


What frequency actually measures

Frequency is cycles per second. One hertz means one complete cycle every second. 1,000 Hz means 1,000 cycles per second. That’s it.

What counts as a “cycle” depends entirely on the context. For AC power, it’s one complete oscillation of the electrical wave from peak to trough and back. For a CPU, it’s one clock pulse, the basic heartbeat that times every instruction. For a radio wave, it’s one oscillation of the electromagnetic field. For a spinning motor, it’s one full revolution.

Period is the time version of the same measurement. If frequency is “how many times per second,” period is “how long does one time take.” They’re reciprocals:

Period (seconds) = 1 / Frequency (Hz)

A 1 Hz signal has a 1-second period. A 1 kHz signal has a 1 ms period. A 1 GHz signal has a 1 nanosecond period. As frequency doubles, period halves.

Frequency tells you the rate. Period tells you the timing. Engineers switch between the two constantly depending on whether they're designing for throughput or for timing constraints.

The formulas

All conversions go through Hz as the base unit.

1 kHz = 1,000 Hz
1 MHz = 1,000,000 Hz
1 GHz = 1,000,000,000 Hz
1 THz = 1,000,000,000,000 Hz

RPM to Hz requires a division by 60 because RPM counts cycles per minute, not per second:

Hz = RPM / 60
RPM = Hz × 60

The period calculation:

Period (s) = 1 / Frequency (Hz)
Period (ms) = 1000 / Frequency (Hz)

So 1000 Hz gives a period of 1000 / 1000 = 1 ms. 1 MHz gives 1000 / 1,000,000 = 0.001 ms = 1 microsecond.

RPM to Hz is the one conversion that trips people up. RPM counts revolutions per minute. Hz counts cycles per second. The factor is 60, not 1,000. A 3,600 RPM motor runs at exactly 60 Hz. A 1,800 RPM motor runs at 30 Hz. Don’t divide or multiply by 1,000 when moving between RPM and Hz.


Full conversion table: Hz to all units

HzkHzMHzGHzRPMPeriod
10.0010.0000010.000000001601,000 ms
100.010.000010.00000001600100 ms
500.050.000050.000000053,00020 ms
600.060.000060.000000063,60016.67 ms
1000.10.00010.00000016,00010 ms
4400.440.000440.0000004426,4002.27 ms
1,00010.0010.00000160,0001 ms
10,000100.010.00001600,0000.1 ms
100,0001000.10.00016,000,0000.01 ms
1,000,0001,00010.00160,000,0000.001 ms

kHz to MHz and GHz: the electronics range

kHzMHzGHzPeriod
10.0010.0000011 ms
100.010.000010.1 ms
1000.10.00010.01 ms
5000.50.00050.002 ms
1,00010.0010.001 ms
10,000100.010.0001 ms
100,0001000.10.00001 ms
1,000,0001,00010.000001 ms (1 ns)

RPM to Hz: mechanical and motor conversions

This is the table mechanics, HVAC engineers, and motor technicians reach for most.

RPMHzkHzPeriod (ms)Context
601.000.0011,000Very slow motor, 1 rev/sec
3005.000.005200Low-speed pump
60010.000.010100Slow fan or compressor
1,20020.000.02050Induction motor (2-pole, 40Hz grid)
1,50025.000.02540Induction motor (4-pole, 50Hz grid)
1,80030.000.03033.33Induction motor (4-pole, 60Hz grid)
3,00050.000.05020Induction motor (2-pole, 50Hz grid)
3,60060.000.06016.67Induction motor (2-pole, 60Hz grid)
6,000100.000.10010High-speed spindle
10,000166.670.1676Racing engine redline
20,000333.330.3333Turbine, high-speed dental drill
60,0001,000.001.0001Turbocharger, precision spindle

Frequency ranges by application

Where each part of the spectrum actually lives.

Frequency rangeApplicationNotes
0.1 - 20 HzSeismic waves, infrasoundBelow human hearing
20 - 20,000 HzHuman hearing rangeAudio, acoustics
50 / 60 HzAC mains power50 Hz in Europe/Asia, 60 Hz in North America
20 Hz - 20 kHzAudio electronicsAmplifiers, speakers, microphones
530 - 1,700 kHzAM radioMedium wave broadcast
3 - 30 MHzShortwave radioHF band, international broadcast
30 - 300 MHzFM radio, VHF TV87.5-108 MHz for FM broadcast
300 MHz - 3 GHzUHF TV, 4G LTE, WiFi2.4 GHz WiFi, cellular bands
5 GHzWiFi (5 GHz band)802.11ac/ax, less congestion
1 - 6 GHzCPU clock speedsModern processors, 3-5 GHz typical
24 - 77 GHzRadar, 5G mmWaveAutomotive radar, high-speed 5G
300 GHz - 3 THzTerahertz imagingSecurity scanners, research
430 - 750 THzVisible lightRed (430 THz) to violet (750 THz)

Visible light is just electromagnetic frequency in the terahertz range. Red light oscillates at ~430 THz, violet at ~750 THz. Radio waves, microwaves, infrared, visible light, UV, and X-rays are all the same physical phenomenon at different frequencies. The only difference is the number.


Real-world examples

CPU clock speed to period

A processor running at 3.6 GHz. How long does each clock cycle take?

Clock cycle timing

Frequency: 3.6 GHz = 3,600,000,000 Hz

Period = 1 / 3,600,000,000 = 0.000000000278 seconds = 0.278 nanoseconds

In the time it takes light to travel about 8 cm, this processor completes one full clock cycle. Modern CPUs execute multiple instructions per cycle, so actual instruction throughput is even faster.

AC motor synchronous speed

An induction motor on a 50 Hz grid. What RPM does it run at for a 4-pole configuration?

Synchronous motor speed

Synchronous speed = (Frequency × 60) / Number of pole pairs

For a 4-pole motor (2 pole pairs): = (50 × 60) / 2 = 1,500 RPM

For a 2-pole motor (1 pole pair): = (50 × 60) / 1 = 3,000 RPM

Real induction motors run slightly below synchronous speed (called slip, typically 2-5%). A “1,500 RPM” motor on a 50 Hz grid actually turns at 1,440-1,480 RPM under load.

Audio frequency to wavelength

A 440 Hz tone (concert A). What’s the wavelength in air?

Sound wavelength calculation

Speed of sound in air: ~343 m/s at 20°C

Wavelength = Speed / Frequency = 343 / 440 = 0.780 m = 78 cm

Period = 1 / 440 = 2.27 ms

This is why bass frequencies require large speakers: a 40 Hz bass note has a wavelength of 343 / 40 = 8.6 metres. Moving that much air requires a physically large driver.

Radio frequency band check

A radio operates at 98.5 MHz. What band is this?

FM radio frequency

98.5 MHz = 98,500 kHz = 0.0985 GHz

FM broadcast band: 87.5 - 108 MHz

98.5 MHz is in the FM broadcast band. Period = 1000 / 98,500,000 = 0.00001015 ms = 10.15 nanoseconds

Each oscillation of the 98.5 MHz carrier wave takes about 10 nanoseconds.

Engine RPM to frequency

A car engine at redline: 7,200 RPM. What frequency is that?

Engine frequency at redline

Hz = 7,200 / 60 = 120 Hz

Period = 1000 / 120 = 8.33 ms per revolution

For a 4-cylinder engine, there’s one power stroke every half-revolution (2 strokes per revolution for a 4-stroke, 4 cylinders). So firing frequency = 120 × 2 = 240 Hz, squarely in the human hearing range, which is why high-revving engines have that characteristic high-pitched tone.


Common mistakes people make

Confusing Hz with RPM by a factor of 60. The relationship is Hz = RPM / 60, full stop. 60 RPM = 1 Hz. 3,600 RPM = 60 Hz. People often try to use 1,000 as the conversion factor by analogy with the kHz/MHz/GHz chain, which gives completely wrong results. RPM is per minute; Hz is per second; the only factor is 60.

Misreading period units at high frequencies. The period output is in milliseconds. At 1 MHz, the period is 0.001 ms = 1 microsecond. At 1 GHz, it’s 0.000001 ms = 1 nanosecond. These numbers look small but represent very different timescales. Always note the unit prefix: microseconds (µs) and nanoseconds (ns) are 1,000× apart.

Treating CPU frequency as directly proportional to speed. A 4 GHz CPU is not necessarily twice as fast as a 2 GHz CPU. Modern processors execute multiple operations per clock cycle (instructions per cycle, IPC), and architecture matters as much as frequency. Clock frequency is one variable in a multi-variable equation. The calculator gives you frequency conversions correctly; what those frequencies mean for performance depends on the architecture.

Mixing frequency with sampling rate. Audio sample rates (44.1 kHz, 48 kHz, 96 kHz) are not audio frequencies. A 44.1 kHz sample rate means 44,100 samples per second. The actual audio frequencies captured are up to half the sample rate (Nyquist theorem), so 44.1 kHz sampling captures up to 22.05 kHz of audio. Entering a sample rate into a frequency converter and using the result to reason about audio content gives meaningless numbers.

Assuming all grid frequencies are 50 Hz or 60 Hz. North America, most of Central America, and parts of Japan use 60 Hz. Europe, Africa, Asia, most of South America, and the rest of Japan use 50 Hz. Importing electrical equipment across these regions affects motor speeds, timing circuits, and anything that uses the grid frequency as a reference. A 60 Hz motor on a 50 Hz grid runs 16.7% slower.

When working with RF (radio frequency) electronics, very small frequency errors matter. A 1 ppm (parts per million) error at 1 GHz is 1,000 Hz off-frequency. Crystal oscillators are rated in ppm tolerance for exactly this reason. The calculator gives exact mathematical conversions; real-world RF components have tolerances that matter at high frequencies.


Period and frequency: the inverse relationship

The period output in the results panel is worth understanding because most frequency converters skip it.

Period = 1 / Frequency. That’s the complete relationship. But the practical consequences of that inversion aren’t always intuitive.

Doubling frequency halves the period. Tripling frequency reduces the period to one-third. The relationship is hyperbolic, not linear.

FrequencyPeriod
1 Hz1,000 ms (1 second)
2 Hz500 ms
4 Hz250 ms
10 Hz100 ms
100 Hz10 ms
1 kHz1 ms
10 kHz0.1 ms (100 µs)
100 kHz0.01 ms (10 µs)
1 MHz0.001 ms (1 µs)
10 MHz0.0001 ms (100 ns)
100 MHz0.00001 ms (10 ns)
1 GHz0.000001 ms (1 ns)
10 GHz0.0000001 ms (0.1 ns)

Engineers working on timing-sensitive systems (microcontrollers, communications, motor control) think in period as naturally as they think in frequency. Setting a timer interrupt to fire every 5 ms? That’s a 200 Hz event. Running an SPI bus at 8 MHz? Each bit takes 125 nanoseconds. The calculator outputs both because the question “how long does one cycle take?” is often more useful than “how many cycles per second?”

If you’re programming a microcontroller timer, convert your desired interrupt period to Hz first using the period-to-frequency formula (Hz = 1000 / period_in_ms), then use that frequency to set your timer prescaler and compare value. The calculator gives you the Hz equivalent of any period you need.


The bottom line

Frequency is one concept wearing many different unit labels across completely different fields. 60 Hz from an AC power engineer, 60 RPM from a mechanical engineer, and 0.00006 MHz from a radio engineer are all the same underlying number. The calculator converts between them and adds the period because timing and rate are two sides of the same measurement.

Enter your frequency, pick your units, and read all the equivalent values at once. The period column is the one most people didn’t know they needed until they see it.

Frequently Asked Questions

What is a hertz?

One hertz (Hz) = one cycle per second. It is the SI unit of frequency. Named after Heinrich Hertz. A 60 Hz power grid completes 60 cycles per second. A 4 GHz CPU executes 4 billion cycles per second.

What frequency is human hearing?

Human hearing ranges approximately 20 Hz to 20,000 Hz (20 kHz). Bass notes: 60–250 Hz. Mid-range: 250 Hz–4 kHz. Treble: 4–20 kHz. Dogs can hear up to 65 kHz; bats echolocate at 20–200 kHz.

What are typical CPU frequencies?

Modern CPUs run at 3–6 GHz (3,000–6,000 MHz). Early CPUs in the 1970s ran at 1–4 MHz. First Intel 8086: 5–10 MHz (1978). Pentium 4 reached 3.8 GHz in 2004. Quantum limits are expected around 10–20 GHz for silicon.

How do I convert RPM to Hz?

Divide RPM by 60 to get Hz. Example: 3000 RPM ÷ 60 = 50 Hz. A car engine at 3000 RPM crankshaft speed produces 50 Hz vibration. To convert Hz to RPM: multiply by 60.

What is the relationship between frequency and wavelength?

Wavelength (λ) = speed of light (c) ÷ frequency (f). At 1 GHz: λ = 3×10⁸ m/s ÷ 10⁹ Hz = 0.3 m (30 cm). Wi-Fi at 2.4 GHz has a 12.5 cm wavelength; 5 GHz Wi-Fi has a 6 cm wavelength.

What frequency is AM vs FM radio?

AM radio: 535–1705 kHz (medium wave). FM radio: 87.5–108 MHz. DAB digital radio: 174–240 MHz. GPS: 1.575 GHz. Wi-Fi 2.4 GHz and 5 GHz. 5G: 600 MHz to 86 GHz (mmWave).