Convert Degree per Second Squared to Radian per Second Squared
Live bidirectional calculator for Degrees per Second Squared (°/s²) and Radians per Second Squared (rad/s²) with verified formula and conversion charts.
Angular Acceleration4 units
How the Calculation Works (Linear Scaling)
Since 1 Radian per Second Squared = 57.29578 Degrees per Second Squared, divide the value in Degrees per Second Squared by 57.29578.
Degree per Second Squared to Radian per Second Squared Conversion Table
Precomputed values for quick reference and printing.
| Degree per Second Squared | Radian per Second Squared |
|---|---|
| 1 °/s² | 0.0175 rad/s² |
| 2 °/s² | 0.0349 rad/s² |
| 3 °/s² | 0.0524 rad/s² |
| 4 °/s² | 0.0698 rad/s² |
| 5 °/s² | 0.0873 rad/s² |
| 6 °/s² | 0.1047 rad/s² |
| 7 °/s² | 0.1222 rad/s² |
| 8 °/s² | 0.1396 rad/s² |
| 9 °/s² | 0.1571 rad/s² |
| 10 °/s² | 0.1745 rad/s² |
| 15 °/s² | 0.2618 rad/s² |
| 20 °/s² | 0.3491 rad/s² |
| 25 °/s² | 0.4363 rad/s² |
| 30 °/s² | 0.5236 rad/s² |
| 40 °/s² | 0.6981 rad/s² |
| 50 °/s² | 0.8727 rad/s² |
| 75 °/s² | 1.309 rad/s² |
| 100 °/s² | 1.7453 rad/s² |
| Radian per Second Squared | Degree per Second Squared |
|---|---|
| 1 rad/s² | 57.2958 °/s² |
| 2 rad/s² | 114.5916 °/s² |
| 3 rad/s² | 171.8873 °/s² |
| 4 rad/s² | 229.1831 °/s² |
| 5 rad/s² | 286.4789 °/s² |
| 6 rad/s² | 343.7747 °/s² |
| 7 rad/s² | 401.0705 °/s² |
| 8 rad/s² | 458.3662 °/s² |
| 9 rad/s² | 515.662 °/s² |
| 10 rad/s² | 572.9578 °/s² |
| 15 rad/s² | 859.4367 °/s² |
| 20 rad/s² | 1145.9156 °/s² |
| 25 rad/s² | 1432.3945 °/s² |
| 30 rad/s² | 1718.8734 °/s² |
| 40 rad/s² | 2291.8312 °/s² |
| 50 rad/s² | 2864.789 °/s² |
| 75 rad/s² | 4297.1835 °/s² |
| 100 rad/s² | 5729.578 °/s² |
📌 Standard Benchmark Reference Values
Angular acceleration per half-turn per second squared.
Exact RatioAbout Degree per Second Squared (°/s²)
An angular acceleration unit equal to π/180 rad/s² (≈ 0.0174533 rad/s²).
History: Commonly used in aerospace telemetry and optical telescope tracking mounts.
Common Uses: Telescope slew acceleration, camera pan-tilt-zoom motor acceleration curves.
About Radian per Second Squared (rad/s²)
The SI coherent derived unit of angular acceleration, representing an angular rate increase of one radian per second every second.
History: Fundamental rotational acceleration defined by rotational dynamics (τ = Iα).
Common Uses: Mechanical engineering, centrifuge startup ramp-up, spacecraft attitude control.
❓ Frequently Asked Questions
How many Radians per Second Squared are in 1 Degree per Second Squared?
There are exactly 0.017453 Radians per Second Squared in 1 Degree per Second Squared (1 °/s² = 0.017453 rad/s²).
What is the formula to convert Degree per Second Squared to Radian per Second Squared?
The formula is: Radian per Second Squared = Degree per Second Squared / 57.29578. Since 1 Radian per Second Squared = 57.29578 Degrees per Second Squared, divide the value in Degrees per Second Squared by 57.29578.
How do I convert 1 °/s² to rad/s² manually?
To convert 1 °/s² to rad/s²: apply the formula Radian per Second Squared = Degree per Second Squared / 57.29578. Substituting gives: 1 / 57.29578 = 0.0175 rad/s².