# Revolutions per Minute to Radians per Second Converter

Enter the frequency in revolutions per minute below to get the value converted to radians per second. Do you want to convert radians per second to revolutions per minute?

## How to Convert Revolutions per Minute to Radians per Second

To convert a measurement in revolutions per minute to a measurement in radians per second, multiply the frequency by the following conversion ratio: 0.10472 radians per second/revolution per minute.

Since one revolution per minute is equal to 0.10472 radians per second, you can use this simple formula to convert:

radians per second = revolutions per minute × 0.10472

The frequency in radians per second is equal to the frequency in revolutions per minute multiplied by 0.10472.

For example, here's how to convert 5 revolutions per minute to radians per second using the formula above.

### How Many Radians per Second Are in One Revolution per Minute?

There are 0.10472 radians per second in one revolution per minute, which is why we use this value in the formula above.

The following formula can also be used to convert the frequency, in revolutions per minute, to an angular frequency in radians per second:

rad/s = RPM / 60 × 2π

Thus, the angular frequency in radians per second is equal to the frequency in revolutions per minute divided by 60 times 2 times pi.

For example, here's how to convert 5 RPM to rad/s using this formula.
rad/s = 5 RPM / 60 × 2π

Revolutions per minute and radians per second are both units used to measure frequency of rotation or revolution. Keep reading to learn more about each unit of measure.

## What Are Revolutions per Minute?

Revolutions per minute are a measure of the number of rotations, turns, or revolutions, that an object makes each minute.

Revolutions per minute can be abbreviated as RPM, and are also sometimes abbreviated as rev/min or r/min. For example, 1 revolution per minute can be written as 1 RPM, 1 rev/min, or 1 r/min.

Revolutions per minute can be expressed using the formula:

RPM = Revolutions / Time in Minutes

## What Are Radians per Second?

Radians per second are a measure of angular frequency, or rotational speed, equal to the change in the angular orientation of an object over one second.

In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units. For example, rad/s is expressing a change in angle relative to a change in time.

## Revolution per Minute to Radian per Second Conversion Table

Table showing various revolution per minute measurements converted to radians per second.
Revolutions Per Minute Radians Per Second