# 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. One radian per second is equal to 9.549297 revolutions per minute, so 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