Radians per Second to Revolutions per Minute Converter
Enter the angular velocity in radians per second below to convert it to revolutions per minute.
Convert Radians per Second to Revolutions per Minute
Enter a value in radians per second (rad/s) to convert to revolutions per minute (r/min).
Radian per Second to Revolution per Minute Conversion Table
Table showing various radian per second measurements converted to revolutions per minute. Click any preset value or arrow to load it into the converter.
| Radians per Second (rad/s) | Revolutions per Minute (r/min) |
|---|---|
| 1 rad/s | 9.5492966 r/min |
| 2 rad/s | 19.0985932 r/min |
| 5 rad/s | 47.7464829 r/min |
| 10 rad/s | 95.4929659 r/min |
| 15 rad/s | 143.2394488 r/min |
| 20 rad/s | 190.9859317 r/min |
| 25 rad/s | 238.7324146 r/min |
| 30 rad/s | 286.4788976 r/min |
| 50 rad/s | 477.4648293 r/min |
| 75 rad/s | 716.1972439 r/min |
How to Convert Radians per Second to Revolutions per Minute
To convert radians per second to revolutions per minute, multiply the angular velocity by the following conversion ratio: 9.5492966 revolutions per minute/radian per second.
Since one radian per second is equal to 9.5492966 revolutions per minute, you can use this simple formula to convert:
The angular velocity in revolutions per minute is equal to the angular velocity in radians per second multiplied by 9.5492966.
For example, here's how to convert 10 radians per second to revolutions per minute using the formula above.
How Many Revolutions per Minute Are in a Radian per Second?
There are 9.5492966 revolutions per minute in a radian per second, which is why we use this value in the formula above.
Our radian per second to revolution per minute calculator automatically converts your angular velocity measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Radians per Second and revolutions per minute are both units used to measure angular velocity. Keep reading to learn more about each unit.
What Is a Radian per Second?
SI unit of angular velocity. It serves as a primary reference unit for measuring angular velocity across scientific and practical applications. [1]
The radian per second is classified as an International System of Units (SI) unit of angular velocity. Radians per Second can be abbreviated as rad/s; for example, 1 radian per second can be written as 1 rad/s.
As the primary coherent reference unit for angular velocity in this category, all other angular velocity units are mathematically anchored to the radian per second (rad/s).
In practice, radians per second (rad/s) are widely used across standard angular velocity applications within International System of Units (SI) workflows, engineering documentation, and technical data sheets.
What Is a Revolution per Minute?
A revolution per minute is a unit of angular velocity equal to 0.1047198 radians per second (rad/s), the base unit for angular velocity. One full rotation per minute (2π/60 ≈ 0.10472 rad/s). [2]
The revolution per minute is classified as a standard unit of angular velocity. Revolutions per Minute can be abbreviated as r/min; for example, 1 revolution per minute can be written as 1 r/min.
When working with revolutions per minute (r/min) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, revolutions per minute (r/min) are widely used across standard angular velocity applications within international standard workflows, engineering documentation, and technical data sheets.
When converting angular velocity between radians per second (rad/s) and revolutions per minute (r/min), keep full floating-point precision (1 rad/s = 9.5492966 r/min; 1 r/min = 0.1047198 rad/s) during intermediate calculations and round only the final revolution per minute figure to match your instrument tolerance.
More Radian per Second & Revolution per Minute Conversions
Need to calculate in the opposite direction? Use our revolutions per minute to radians per second converter (r/min to rad/s) to switch your starting unit immediately. You can also explore related tools such as converting radians per second to degrees per second, converting radians per second to revolutions per second, or converting degrees per second to radians per second.
Convert from Radians per Second
Frequently Asked Questions
References
- [1]NIST OWM StandardNIST OWM (SI Units — Length)·Velocity - Angular Metrology Standard — Radians per Second (rad/s) to Revolutions per Minute (r/min)
- [2]BIPM SpecificationBIPM (SI Base Unit: Metre (m))·Unit Specifications: Radian per Second (rad/s) & Revolution per Minute (r/min)
- [3]NIST HB 133 ReferenceNIST HB 133 (NIST Handbook 133 (2019 Ed.))·Conversion Factors & Mathematical Basis (rad/s to r/min)