Frequency converter — Hz, kHz, MHz, rpm and rad/s

Enter a frequency or rotation speed, pick its unit and the one you need, and the converter gives the answer, the same value in 11 units, and the period (the time for one cycle).

Live demo · real result from this tool
3,000 rpm (revolutions per minute) =50 Hz

3,000 rpm (revolutions per minute) in every unit

UnitValue
Hz50
kHz0.05
MHz0.00005
GHz0.00000005
THz5e-11
mHz (millihertz)50,000
rpm (revolutions per minute)3,000
revolutions per hour180,000
rad/s314.159265359
degrees per second18,000
beats per minute3,000

Period

Period (1/f)
0.02 s

Processed on your device — nothing is uploaded.

How to use the frequency converter

  1. Type the number in Value. The default is 3,000.
  2. Choose its unit in From, for example rpm (revolutions per minute).
  3. Choose the target in To, for example Hz. The answer appears at once.
  4. Below the result you get a table of all 11 units and a Period (1/f) line in seconds.

What it does and when to use it

Frequency means “how many times per second”. Engineers, musicians and doctors count it in different ways. A motor plate gives rpm, a physics formula wants rad/s, a radio dial shows MHz, a metronome shows bpm and a CPU spec shows GHz. This converter connects all of them through hertz.

Typical uses: turning an engine or fan speed into Hz to check against mains frequency or a vibration reading, getting ω in rad/s for a rotating-body formula, or finding how long one beat lasts at a given tempo. To hear a frequency, try the tone generator. To find the tempo of a song first, use the BPM detector. For the wavelength of a radio or light frequency, use the frequency to wavelength converter.

How it works

Each unit is stored as a number of hertz.

Unit Hz
rpm, beats per minute 1/60
revolutions per hour 1/3,600
degrees per second 1/360
rad/s 1/(2π) ≈ 0.159155
mHz 0.001
kHz, MHz, GHz, THz 10³, 10⁶, 10⁹, 10¹²

The tool multiplies by the From factor, divides by the To factor and shows 12 significant figures. The period is 1 ÷ (value in Hz). Only rad/s depends on π; every other factor is exact.

Worked examples

A spinning hard drive. 7,200 rpm = 120 Hz. The tool also shows Period (1/f): 0.008333333333 s, so one turn takes about 8.3 ms.

A tempo. 120 beats per minute = 2 Hz. The period is 0.5 s, so each beat is half a second apart.

Angular speed from a physics problem. 100 rad/s = 954.929658551 rpm, or 15.9154943092 Hz.

Limits and tips

  • Period is hidden for zero or negative values, because 1 ÷ 0 has no meaning.
  • rad/s here is an angular frequency. If you need an angle itself (degrees or radians), use the angle converter.
  • For time units on their own (ms, minutes, hours), the time converter is quicker.
  • Results below 10⁻⁹ switch to scientific notation. For 7,200 rpm the THz row shows 1.2e-10.

Frequently asked questions

How do I convert rpm to Hz?
Divide by 60. One revolution per minute is one sixtieth of a cycle per second, so 3,000 rpm is 50 Hz and 7,200 rpm is 120 Hz.
Why is 1 Hz equal to 6.28 rad/s and not 1 rad/s?
Hertz counts whole cycles per second. Radians per second counts the angle turned, and one full cycle is 2π radians. So the angular frequency ω = 2π × f, and 1 Hz ≈ 6.2832 rad/s.
What is the period?
The time one cycle takes, 1 ÷ frequency, in seconds. 50 Hz mains power has a period of 0.02 s (20 ms). The tool shows it under every result when the frequency is above zero.
Is beats per minute the same as rpm?
Numerically, yes. Both count events per minute, so 120 bpm is 2 Hz, the same as 120 rpm. The tool lists them separately so the table reads naturally for music, heart rate or machines.
What is the difference between mHz and MHz?
A factor of a thousand million. mHz (millihertz) is 0.001 Hz, used for very slow cycles such as tides or ocean swells. MHz (megahertz) is 1,000,000 Hz, used for radio. Check the capital M when you pick a unit.

Written by the ToolsRift team · Last updated

Pages are drafted with AI assistance and checked by automated tests. How we write and check pages.

Was this tool useful?

Report a problem

Start typing to search every tool.

↑ ↓ to moveEnter to openEsc to close