Degrees per Second to Revolutions per Second Converter
Enter the angular velocity in degrees per second below to convert it to revolutions per second.
Convert Degrees per Second to Revolutions per Second
Enter a value in degrees per second (°/s) to convert to revolutions per second (r/s).
Degree per Second to Revolution per Second Conversion Table
Table showing various degree per second measurements converted to revolutions per second. Click any preset value or arrow to load it into the converter.
| Degrees per Second (°/s) | Revolutions per Second (r/s) |
|---|---|
| 1 °/s | 0.0027778 r/s |
| 2 °/s | 0.0055556 r/s |
| 2.5 °/s | 0.0069444 r/s |
| 5 °/s | 0.0138889 r/s |
| 10 °/s | 0.0277778 r/s |
| 15 °/s | 0.0416667 r/s |
| 20 °/s | 0.0555556 r/s |
| 25 °/s | 0.0694444 r/s |
| 30 °/s | 0.0833333 r/s |
| 50 °/s | 0.1388889 r/s |
How to Convert Degrees per Second to Revolutions per Second
To convert degrees per second to revolutions per second, multiply the angular velocity by the following conversion ratio: 0.0027778 revolutions per second/degree per second.
Since one degree per second is equal to 0.0027778 revolutions per second, you can use this simple formula to convert:
The angular velocity in revolutions per second is equal to the angular velocity in degrees per second multiplied by 0.0027778.
For example, here's how to convert 5 degrees per second to revolutions per second using the formula above.
How Many Revolutions per Second Are in a Degree per Second?
There are 0.0027778 revolutions per second in a degree per second, which is why we use this value in the formula above.
Our degree per second to revolution per second calculator automatically converts your angular velocity measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Degrees per Second and revolutions per second are both units used to measure angular velocity. Keep reading to learn more about each unit.
What Is a Degree per Second?
A degree per second is a unit of angular velocity equal to 0.0174533 radians per second (rad/s), the base unit for angular velocity. Angular rotation of 1 degree per second (π/180 rad/s). [1]
The degree per second is classified as a standard unit of angular velocity. Degrees per Second can be abbreviated as °/s; for example, 1 degree per second can be written as 1 °/s.
When working with degrees per second (°/s) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, degrees per second (°/s) are widely used across standard angular velocity applications within international standard workflows, engineering documentation, and technical data sheets.
What Is a Revolution per Second?
A revolution per second is a unit of angular velocity equal to 6.2831853 radians per second (rad/s), the base unit for angular velocity. One full rotation per second (2π ≈ 6.28319 rad/s). [2]
The revolution per second is classified as a standard unit of angular velocity. Revolutions per Second can be abbreviated as r/s; for example, 1 revolution per second can be written as 1 r/s.
When working with revolutions per second (r/s) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, revolutions per second (r/s) are widely used across standard angular velocity applications within international standard workflows, engineering documentation, and technical data sheets.
When converting angular velocity between degrees per second (°/s) and revolutions per second (r/s), keep full floating-point precision (1 °/s = 0.0027778 r/s; 1 r/s = 360 °/s) during intermediate calculations and round only the final revolution per second figure to match your instrument tolerance.
More Degree per Second & Revolution per Second Conversions
Need to calculate in the opposite direction? Use our revolutions per second to degrees per second calculator to switch your starting unit immediately. You can also explore related tools such as converting revolutions 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 Degrees per Second
Frequently Asked Questions
References
- [1]NIST OWM StandardNIST OWM (SI Units — Length)·Velocity - Angular Metrology Standard — Degrees per Second (°/s) to Revolutions per Second (r/s)
- [2]BIPM SpecificationBIPM (SI Base Unit: Metre (m))·Unit Specifications: Degree per Second (°/s) & Revolution per Second (r/s)
- [3]NIST HB 133 ReferenceNIST HB 133 (NIST Handbook 133 (2019 Ed.))·Conversion Factors & Mathematical Basis (°/s to r/s)