Convert Radian per Second Squared to Degree per Second Squared
Live bidirectional calculator for Radians per Second Squared (rad/s²) and Degrees per Second Squared (°/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, multiply the value in Radians per Second Squared by 57.29578.
Radian per Second Squared to Degree per Second Squared Conversion Table
Precomputed values for quick reference and printing.
| 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 |
| 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 |
📌 Standard Benchmark Reference Values
Angular acceleration per half-turn per second squared.
Exact RatioAbout 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.
About 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.
❓ Frequently Asked Questions
How many Degrees per Second Squared are in 1 Radian per Second Squared?
There are exactly 57.29578 Degrees per Second Squared in 1 Radian per Second Squared (1 rad/s² = 57.29578 °/s²).
What is the formula to convert Radian per Second Squared to Degree per Second Squared?
The formula is: Degree per Second Squared = Radian per Second Squared × 57.29578. Since 1 Radian per Second Squared = 57.29578 Degrees per Second Squared, multiply the value in Radians per Second Squared by 57.29578.
How do I convert 1 rad/s² to °/s² manually?
To convert 1 rad/s² to °/s²: apply the formula Degree per Second Squared = Radian per Second Squared × 57.29578. Substituting gives: 1 × 57.29578 = 57.2958 °/s².