Convert frequency between hertz, kilohertz, megahertz, gigahertz and revolutions per minute.
Example
One hertz is one cycle per second, so 1 Hz is 60 rpm and a 50 Hz supply corresponds to 3,000 rpm. A hard disk at 7,200 rpm turns 120 times per second, and 2.4 GHz is 2,400 MHz.
Calculation method
Every value converts through hertz, where one hertz is one cycle per second. Revolutions per minute are divided by 60 to reach hertz, and the metric prefixes step in thousands, so 1 MHz is 1,000,000 Hz.
Important notes
The rpm conversion assumes one cycle per revolution. A four-pole motor or a multi-bladed fan produces several pulses per turn, and real induction motors run a little slower than synchronous speed because of slip, so a 50 Hz motor may be labelled 2,850 rpm. Angular velocity in radians per second is 2π times the frequency and is not listed here.
Hertz and revolutions per minute
One hertz is one cycle per second. Revolutions per minute counts complete turns in a minute, so 1 Hz is 60 rpm. A 50 Hz mains supply corresponds to 3,000 rpm, the speed of a two-pole synchronous motor on that supply, and a hard disk spinning at 7,200 rpm turns 120 times per second. Real induction motors run slightly slower than the synchronous speed because of slip, so a label may show 2,850 rpm on a 50 Hz motor.
Audio, radio and electricity
Musical pitch uses hertz: the concert A above middle C is standardised at 440 Hz, or 0.44 kHz. Radio and wireless use much higher frequencies; Wi-Fi’s 2.4 GHz band is 2,400 MHz, and FM broadcast stations sit near 100 MHz, while 1 MHz is 1,000,000 Hz. Electricity grids run at 50 Hz in most of the world and 60 Hz in North America; Japan uses both, 50 Hz in the east and 60 Hz in the west.
What frequency does not tell you
Frequency describes how often something repeats, not how strong it is or how far it travels. Converting between hertz and rpm assumes one cycle equals one revolution; a four-pole motor or a multi-bladed fan produces several pulses per turn. Angular velocity in radians per second is 2π times the frequency and is not listed here. For period, the time of one cycle, divide 1 by the frequency: 50 Hz has a period of 0.02 s, which you can express in milliseconds with the Time Unit Converter.
Worked examples| Input | Result |
|---|
50 Hz → rpm | 3,000 |
7200 rpm → Hz | 120 |
440 Hz → kHz | 0.44 |
2.4 GHz → MHz | 2,400 |
1 MHz → Hz | 1,000,000 |
Frequently asked questions
How do hertz and rpm relate?
One hertz is 60 rpm, because rpm counts complete turns in a minute while hertz counts cycles in a second. That is why a 50 Hz supply matches the 3,000 rpm of a two-pole synchronous motor, and why a disk spinning at 7,200 rpm is turning 120 times per second.
Where do these units show up day to day?
Musical pitch uses hertz: the concert A above middle C is standardised at 440 Hz, or 0.44 kHz. Radio and wireless sit far higher, with Wi-Fi’s 2.4 GHz band equal to 2,400 MHz and FM stations near 100 MHz. Electricity grids run at 50 Hz in most of the world and 60 Hz in North America, while Japan uses both, 50 Hz in the east and 60 Hz in the west.
Is frequency the same as speed or data rate?
No. Frequency says how often something repeats, not how strong it is, how far it travels, or how much information it carries. For the period — the time of one cycle — divide 1 by the frequency: 50 Hz gives 0.02 s, which the Time Unit Converter can express in milliseconds.