# Radians Per Second to Revolutions Per Minute Conversion

Enter the frequency in radians per second below to get the value converted to revolutions per minute.

Results in Revolutions Per Minute: ## How to Convert Radians Per Second to Revolutions Per Minute

To convert a radian per second measurement to a revolution per minute measurement, multiply the frequency by the conversion ratio.

Since one radian per second is equal to 9.549297 revolutions per minute, you can use this simple formula to convert:

revolutions per minute = radians per second × 9.549297

The frequency in revolutions per minute is equal to the radians per second multiplied by 9.549297.

For example, here's how to convert 5 radians per second to revolutions per minute using the formula above.
5 rad/s = (5 × 9.549297) = 47.746483 RPM

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

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

For example, here's how to convert 5 rad/s to RPM using this formula.
RPM = 5 rad/s × 60
RPM = 0.7957747 × 60
RPM = 47.746483

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.

## 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

## Radian Per Second to Revolution Per Minute Conversion Table

Radian per second measurements converted to revolutions per minute
Radians Per Second Revolutions Per Minute