Convert Radians per second squared to Degrees per second squared
Convert Radians per second squared (rad/s²) to Degrees per second squared (°/s²) instantly and accurately.
Conversion Formula
°/s² = rad/s² × 57.29577951
About Radians per second squared
The radian per second squared (rad/s²) is the SI coherent derived unit of angular acceleration. It appears in Newton's second law for rotation: τ = Iα, where torque τ is in N·m, moment of inertia I in kg·m², and angular acceleration α in rad/s². All engineering simulation tools (MATLAB, Simulink, ROS, FEM solvers) use rad/s² natively. A typical electric motor under full load accelerates at 10-100 rad/s². 1 rad/s² ≈ 57.296 °/s² ≈ 9.549 rpm/s.
About Degrees per second squared
The degree per second squared (°/s²) equals π/180 ≈ 0.017453 rad/s², the most intuitive angular acceleration unit. Human vestibular perception threshold starts near 1 °/s²; aircraft pitch acceleration during manoeuvres is 5-30 °/s²; robot joint acceleration 100-500 °/s². Automotive electronic stability control monitors yaw angular acceleration to detect spin onset. MEMS IMUs measure 0.1-1000 °/s². 1 °/s² = π/180 rad/s² ≈ 1/6 rpm/s.
Quick Reference Table
| Radians per second squared (rad/s²) | Degrees per second squared (°/s²) |
|---|---|
| 1 rad/s² | 57.2958 °/s² |
| 2 rad/s² | 114.592 °/s² |
| 5 rad/s² | 286.479 °/s² |
| 10 rad/s² | 572.958 °/s² |
| 25 rad/s² | 1432.39 °/s² |
| 50 rad/s² | 2864.79 °/s² |
| 100 rad/s² | 5729.58 °/s² |