Convert Microradians per second squared to Radians per second squared
Convert Microradians per second squared (µrad/s²) to Radians per second squared (rad/s²) instantly and accurately.
Conversion Formula
rad/s² = µrad/s² × 1.000000000e-6
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.
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
| Microradians per second squared (µrad/s²) | Radians per second squared (rad/s²) |
|---|---|
| 1 µrad/s² | 1 × 10-6 rad/s² |
| 2 µrad/s² | 2 × 10-6 rad/s² |
| 5 µrad/s² | 5 × 10-6 rad/s² |
| 10 µrad/s² | 1 × 10-5 rad/s² |
| 25 µrad/s² | 2.5 × 10-5 rad/s² |
| 50 µrad/s² | 5 × 10-5 rad/s² |
| 100 µrad/s² | 1 × 10-4 rad/s² |