Radians per Second to Degrees per Second Converter
Enter the angular velocity in radians per second below to convert it to degrees per second.
Convert Radians per Second to Degrees per Second
Enter a value in radians per second (rad/s) to convert to degrees per second (°/s).
Radian per Second to Degree per Second Conversion Table
Table showing various radian per second measurements converted to degrees per second. Click any preset value or arrow to load it into the converter.
| Radians per Second (rad/s) | Degrees per Second (°/s) |
|---|---|
| 1 rad/s | 57.2957795 °/s |
| 2 rad/s | 114.591559 °/s |
| 5 rad/s | 286.4788976 °/s |
| 10 rad/s | 572.9577951 °/s |
| 15 rad/s | 859.4366927 °/s |
| 20 rad/s | 1,145.9155903 °/s |
| 25 rad/s | 1,432.3944878 °/s |
| 30 rad/s | 1,718.8733854 °/s |
| 50 rad/s | 2,864.7889757 °/s |
| 75 rad/s | 4,297.1834635 °/s |
How to Convert Radians per Second to Degrees per Second
To convert radians per second to degrees per second, multiply the angular velocity by the following conversion ratio: 57.2957795 degrees per second/radian per second.
Since one radian per second is equal to 57.2957795 degrees per second, you can use this simple formula to convert:
The angular velocity in degrees per second is equal to the angular velocity in radians per second multiplied by 57.2957795.
For example, here's how to convert 10 radians per second to degrees per second using the formula above.
How Many Degrees per Second Are in a Radian per Second?
There are 57.2957795 degrees per second in a radian per second, which is why we use this value in the formula above.
Our radian per second to degree per second 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 degrees per second 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 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). [2]
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.
When converting angular velocity between radians per second (rad/s) and degrees per second (°/s), keep full floating-point precision (1 rad/s = 57.2957795 °/s; 1 °/s = 0.0174533 rad/s) during intermediate calculations and round only the final degree per second figure to match your instrument tolerance.
More Radian per Second & Degree per Second Conversions
Need to calculate in the opposite direction? Use our degrees per second to radians per second converter (°/s to rad/s) to switch your starting unit immediately. You can also explore related tools such as converting radians per second to revolutions per minute, converting radians per second to revolutions per second, or converting revolutions per minute 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 Degrees per Second (°/s)
- [2]BIPM SpecificationBIPM (SI Base Unit: Metre (m))·Unit Specifications: Radian per Second (rad/s) & Degree per Second (°/s)
- [3]NIST HB 133 ReferenceNIST HB 133 (NIST Handbook 133 (2019 Ed.))·Conversion Factors & Mathematical Basis (rad/s to °/s)