Convert Milliradians per second squared to Radians per second squared
Convert Milliradians per second squared (mrad/s²) to Radians per second squared (rad/s²) instantly and accurately.
Conversion Formula
rad/s² = mrad/s² × 0.001
About Milliradians per second squared
The milliradian per second squared (mrad/s²) equals 10⁻³ rad/s², the natural unit for robotic joint angular acceleration. Industrial robot arms (KUKA KR 1000, ABB IRB 8700) run joint acceleration profiles of 50-500 mrad/s²; CNC machine spindle synchronisation algorithms generate 1-100 mrad/s². Optical phased-array beam-steering systems also operate in this range. 1 mrad/s² = 10⁻³ rad/s² ≈ 0.0573 °/s² ≈ 9.549 × 10⁻³ rpm/s.
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.
Quick Reference Table
| Milliradians per second squared (mrad/s²) | Radians per second squared (rad/s²) |
|---|---|
| 1 mrad/s² | 0.001 rad/s² |
| 2 mrad/s² | 0.002 rad/s² |
| 5 mrad/s² | 0.005 rad/s² |
| 10 mrad/s² | 0.01 rad/s² |
| 25 mrad/s² | 0.025 rad/s² |
| 50 mrad/s² | 0.05 rad/s² |
| 100 mrad/s² | 0.1 rad/s² |