Revolutions per minute to hertz (rpm to Hz) converter

What is a revolutions per minute to hertz converter?

A revolutions per minute to hertz converter is an online tool that turns a rotational speed measured in revolutions per minute (rpm) into a frequency measured in hertz (Hz), and vice versa. Both units describe how often something repeats in time: rpm counts complete turns each minute, while hertz counts complete cycles each second. Because one full revolution is one full cycle, the two units measure the same physical quantity using different time bases.

This conversion appears constantly in mechanical and electrical engineering. Motor nameplates, fans, pumps, turbines, and hard-disk spindles are usually rated in rpm, whereas oscilloscopes, signal generators, and power-grid specifications express the same rotation as a frequency in hertz. The converter removes the manual arithmetic so you can move between the two systems instantly.

How it works

The link between the two units is the number of seconds in a minute. Since there are 60 seconds in one minute, a frequency of 1 Hz (one cycle per second) corresponds to 60 cycles per minute, which is 60 rpm. To convert rpm to hertz you divide by 60; to convert hertz to rpm you multiply by 60.

The converter also lets you work with larger frequency units. Selecting kilohertz (kHz), megahertz (MHz), or gigahertz (GHz) scales the result by 1,000, 1,000,000, and 1,000,000,000 respectively, which is convenient when rotational speeds are extremely high.

Formula

$\text{Hz} = \frac{\text{rpm}}{60}$

$\text{rpm} = \text{Hz} \times 60$

Conversion table

The table below lists common rotational speeds in rpm and their equivalent frequency in hertz.

Examples

Example 1: 60 rpm to hertz

A turntable rotating at 60 revolutions per minute completes exactly one full turn every second:

$\frac{60}{60} = 1 \text{ Hz}$

Example 2: 1 hertz back to rpm

Reversing the previous example, a frequency of 1 Hz corresponds to:

$1 \times 60 = 60 \text{ rpm}$

Example 3: 3000 rpm to hertz

A two-pole induction motor spinning at 3000 rpm produces:

$\frac{3000}{60} = 50 \text{ Hz}$

which matches the 50 Hz mains frequency used across much of the world.

Example 4: 1 kHz to rpm

If you select kilohertz as the source unit and enter 1 kHz (1000 Hz), the rotational equivalent is:

$1000 \times 60 = 60000 \text{ rpm}$

Notes

• The conversion factor is always 60, regardless of the application, because it comes purely from the definition of a minute as 60 seconds.
• rpm describes rotation, while hertz can describe any repeating cycle; they are interchangeable only when one cycle equals one revolution.
• For very high or very low speeds, switch the frequency unit (kHz, MHz, GHz) to keep the displayed value readable.
• Do not confuse rpm with angular velocity in radians per second; converting to rad/s additionally multiplies by 2π.

Frequently asked questions

How do I convert rpm to hertz?

Divide the rotational speed in revolutions per minute by 60. For example, 3000 rpm divided by 60 equals 50 Hz.

How many rpm is 1 Hz?

One hertz equals 60 rpm, because one cycle per second is the same as 60 cycles per minute.

Why is the conversion factor 60?

There are 60 seconds in one minute. Since rpm counts turns per minute and hertz counts cycles per second, you switch between them by accounting for those 60 seconds.

Is rpm the same as frequency?

rpm is a frequency expressed with a minute time base, whereas hertz uses a second time base. As long as one revolution corresponds to one cycle, they measure the same thing and convert directly. If you need the reverse direction, use the hertz to revolutions per minute converter.

What is 1800 rpm in hertz?

Dividing 1800 by 60 gives 30 Hz, a common synchronous speed for four-pole motors on a 60 Hz supply.

Can I convert rpm to kilohertz or megahertz?

Yes. Convert to hertz first by dividing by 60, then scale down by 1,000 for kHz or 1,000,000 for MHz. For related frequency steps you can also try the kilohertz to hertz converter.