RPM per Second to Radians per Second Squared Converter
Enter the angular acceleration in rpm per second below to convert it to radians per second squared.
Convert RPM per Second to Radians per Second Squared
Enter a value in rpm per second (RPM/s) to convert to radians per second squared (rad/s²).
Revolution per Minute per Second to Radian per Second Squared Conversion Table
Table showing various revolution per minute per second measurements converted to radians per second squared. Click any preset value or arrow to load it into the converter.
| RPM per Second (RPM/s) | Radians per Second Squared (rad/s²) |
|---|---|
| 1 RPM/s | 0.1047198 rad/s² |
| 2 RPM/s | 0.2094395 rad/s² |
| 5 RPM/s | 0.5235988 rad/s² |
| 10 RPM/s | 1.0471976 rad/s² |
| 15 RPM/s | 1.5707963 rad/s² |
| 20 RPM/s | 2.0943951 rad/s² |
| 25 RPM/s | 2.6179939 rad/s² |
| 30 RPM/s | 3.1415927 rad/s² |
| 50 RPM/s | 5.2359878 rad/s² |
| 75 RPM/s | 7.8539816 rad/s² |
How to Convert RPM per Second to Radians per Second Squared
To convert rpm per second to radians per second squared, multiply the angular acceleration by the following conversion ratio: 0.1047198 radians per second squared/revolution per minute per second.
Since one revolution per minute per second is equal to 0.1047198 radians per second squared, you can use this simple formula to convert:
The angular acceleration in radians per second squared is equal to the angular acceleration in rpm per second multiplied by 0.1047198.
For example, here's how to convert 10 rpm per second to radians per second squared using the formula above.
How Many Radians per Second Squared Are in a Revolution per Minute per Second?
There are 0.1047198 radians per second squared in a revolution per minute per second, which is why we use this value in the formula above.
Our revolution per minute per second to radian per second squared calculator automatically converts your angular acceleration measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
RPM per Second and radians per second squared are both units used to measure angular acceleration. Keep reading to learn more about each unit.
What Is a Revolution per Minute per Second?
A revolution per minute per second is a unit of angular acceleration equal to 0.1047198 radians per second squared (rad/s²), the base unit for angular acceleration. Change of 1 RPM every second (≈ 0.10472 rad/s²). [1]
The revolution per minute per second is classified as a standard unit of angular acceleration. RPM per Second can be abbreviated as RPM/s; for example, 1 revolution per minute per second can be written as 1 RPM/s.
When working with rpm per second (RPM/s) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, rpm per second (RPM/s) are widely used across standard angular acceleration applications within international standard workflows, engineering documentation, and technical data sheets.
What Is a Radian per Second Squared?
SI unit of angular acceleration. It serves as a primary reference unit for measuring angular acceleration across scientific and practical applications. [2]
The radian per second squared is classified as an International System of Units (SI) unit of angular acceleration. Radians per Second Squared can be abbreviated as rad/s²; for example, 1 radian per second squared can be written as 1 rad/s².
As the primary coherent reference unit for angular acceleration in this category, all other angular acceleration units are mathematically anchored to the radian per second squared (rad/s²).
In practice, radians per second squared (rad/s²) are widely used across standard angular acceleration applications within International System of Units (SI) workflows, engineering documentation, and technical data sheets.
When converting angular acceleration between rpm per second (RPM/s) and radians per second squared (rad/s²), keep full floating-point precision (1 RPM/s = 0.1047198 rad/s²; 1 rad/s² = 9.5492966 RPM/s) during intermediate calculations and round only the final radian per second squared figure to match your instrument tolerance.
More Revolution per Minute per Second & Radian per Second Squared Conversions
Need to calculate in the opposite direction? Use our radians per second squared to rpm per second converter (rad/s² to RPM/s) to switch your starting unit immediately. You can also explore related tools such as converting degrees per second squared to radians per second squared, converting revolutions per second squared to radians per second squared, or converting radians per second squared to degrees per second squared.
Convert from RPM per Second
Convert to Radians per Second Squared
Frequently Asked Questions
References
- [1]NIST OWM StandardNIST OWM (SI Units — Length)·Acceleration - Angular Metrology Standard — RPM per Second (RPM/s) to Radians per Second Squared (rad/s²)
- [2]BIPM SpecificationBIPM (SI Base Unit: Metre (m))·Unit Specifications: Revolution per Minute per Second (RPM/s) & Radian per Second Squared (rad/s²)
- [3]NIST HB 133 ReferenceNIST HB 133 (NIST Handbook 133 (2019 Ed.))·Conversion Factors & Mathematical Basis (RPM/s to rad/s²)