Radians per Second Squared to Degrees per Second Squared Converter
Enter the angular acceleration in radians per second squared below to convert it to degrees per second squared.
Convert Radians per Second Squared to Degrees per Second Squared
Enter a value in radians per second squared (rad/s²) to convert to degrees per second squared (°/s²).
Radian per Second Squared to Degree per Second Squared Conversion Table
Table showing various radian per second squared measurements converted to degrees per second squared. Click any preset value or arrow to load it into the converter.
| Radians per Second Squared (rad/s²) | Degrees per Second Squared (°/s²) |
|---|---|
| 1 rad/s² | 57.2957795 °/s² |
| 2 rad/s² | 114.591559 °/s² |
| 5 rad/s² | 286.4788976 °/s² |
| 10 rad/s² | 572.9577951 °/s² |
| 15 rad/s² | 859.4366927 °/s² |
| 20 rad/s² | 1,145.9155903 °/s² |
| 25 rad/s² | 1,432.3944878 °/s² |
| 30 rad/s² | 1,718.8733854 °/s² |
| 50 rad/s² | 2,864.7889757 °/s² |
| 75 rad/s² | 4,297.1834635 °/s² |
How to Convert Radians per Second Squared to Degrees per Second Squared
To convert radians per second squared to degrees per second squared, multiply the angular acceleration by the following conversion ratio: 57.2957795 degrees per second squared/radian per second squared.
Since one radian per second squared is equal to 57.2957795 degrees per second squared, you can use this simple formula to convert:
The angular acceleration in degrees per second squared is equal to the angular acceleration in radians per second squared multiplied by 57.2957795.
For example, here's how to convert 10 radians per second squared to degrees per second squared using the formula above.
How Many Degrees per Second Squared Are in a Radian per Second Squared?
There are 57.2957795 degrees per second squared in a radian per second squared, which is why we use this value in the formula above.
Our radian per second squared to degree per second squared calculator automatically converts your angular acceleration measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Radians per Second Squared and degrees per second squared are both units used to measure angular acceleration. Keep reading to learn more about each unit.
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. [1]
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.
What Is a Degree per Second Squared?
A degree per second squared is a unit of angular acceleration equal to 0.0174533 radians per second squared (rad/s²), the base unit for angular acceleration. Equal to π/180 rad/s². [2]
The degree per second squared is classified as a standard unit of angular acceleration. Degrees per Second Squared can be abbreviated as °/s²; for example, 1 degree per second squared can be written as 1 °/s².
When working with degrees per second squared (°/s²) 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 squared (°/s²) are widely used across standard angular acceleration applications within international standard workflows, engineering documentation, and technical data sheets.
When converting angular acceleration between radians per second squared (rad/s²) and degrees per second squared (°/s²), keep full floating-point precision (1 rad/s² = 57.2957795 °/s²; 1 °/s² = 0.0174533 rad/s²) during intermediate calculations and round only the final degree per second squared figure to match your instrument tolerance.
More Radian per Second Squared & Degree per Second Squared Conversions
Need to calculate in the opposite direction? Use our degrees per second squared to radians per second squared converter (°/s² to rad/s²) to switch your starting unit immediately. You can also explore related tools such as converting radians per second squared to revolutions per second squared, converting radians per second squared to rpm per second, or converting revolutions per second squared to radians per second squared.
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Frequently Asked Questions
References
- [1]NIST OWM StandardNIST OWM (SI Units — Length)·Acceleration - Angular Metrology Standard — Radians per Second Squared (rad/s²) to Degrees per Second Squared (°/s²)
- [2]BIPM SpecificationBIPM (SI Base Unit: Metre (m))·Unit Specifications: Radian per Second Squared (rad/s²) & Degree per Second Squared (°/s²)
- [3]NIST HB 133 ReferenceNIST HB 133 (NIST Handbook 133 (2019 Ed.))·Conversion Factors & Mathematical Basis (rad/s² to °/s²)