Convert Milliradians per second squared to Microradians per second squared
Convert Milliradians per second squared (mrad/s²) to Microradians per second squared (µrad/s²) instantly and accurately.
Conversion Formula
µrad/s² = mrad/s² × 1000
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 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
| Milliradians per second squared (mrad/s²) | Microradians per second squared (µrad/s²) |
|---|---|
| 1 mrad/s² | 1000 µrad/s² |
| 2 mrad/s² | 2000 µrad/s² |
| 5 mrad/s² | 5000 µrad/s² |
| 10 mrad/s² | 10000 µrad/s² |
| 25 mrad/s² | 25000 µrad/s² |
| 50 mrad/s² | 50000 µrad/s² |
| 100 mrad/s² | 100000 µrad/s² |