# Revolutions Per Minute to Radians Per Second Conversion

Enter the frequency in revolutions per minute below to get the value converted to radians per second. ## How to Convert Revolutions Per Minute to Radians Per Second

To convert a revolution per minute measurement to a radian per second measurement, multiply the frequency by the conversion ratio. One revolution per minute is equal to 0.10472 radians per second, so use this simple formula to convert:

radians per second = revolutions per minute × 0.10472

The frequency in radians per second is equal to the 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.
5 RPM = (5 × 0.10472) = 0.523599 rad/s

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

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 RPM60 × 2π

## Revolutions Per Minute

Revolutions per minute are a measure of the number of turns, or revolutions, that occur per 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 = RevolutionsTimem

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

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.

## Revolution Per Minute to Radian Per Second Conversion Table

Revolution per minute measurements converted to radians per second
Revolutions Per Minute Radians Per Second