Convert Radians per second squared to Microradians per second squared
Convert Radians per second squared (rad/s²) to Microradians per second squared (µrad/s²) instantly and accurately.
Conversion Formula
µrad/s² = rad/s² × 1000000
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 Microradians per second squared
The microradian per second squared (µrad/s²) equals 10⁻⁶ rad/s², characteristic of navigation-grade inertial systems. Gyroscopes on commercial aircraft detect angular accelerations of 0.1-10 µrad/s² during steady cruise; aeroelastic wing flexing during gusts generates 5-50 µrad/s². Geodetic VLBI antennas accelerate through this range during sky survey slewing. 1 µrad/s² = 10⁻⁶ rad/s² ≈ 5.73 × 10⁻⁵ °/s².
Quick Reference Table
| Radians per second squared (rad/s²) | Microradians per second squared (µrad/s²) |
|---|---|
| 1 rad/s² | 1000000 µrad/s² |
| 2 rad/s² | 2000000 µrad/s² |
| 5 rad/s² | 5000000 µrad/s² |
| 10 rad/s² | 10000000 µrad/s² |
| 25 rad/s² | 25000000 µrad/s² |
| 50 rad/s² | 50000000 µrad/s² |
| 100 rad/s² | 100000000 µrad/s² |