Convert Milliradians per second squared to Nanoradians per second squared
Convert Milliradians per second squared (mrad/s²) to Nanoradians per second squared (nrad/s²) instantly and accurately.
Conversion Formula
nrad/s² = mrad/s² × 1000000
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 Nanoradians per second squared
The nanoradian per second squared (nrad/s²) equals 10⁻⁹ rad/s², measuring imperceptibly gradual changes in rotation rate. Precision spacecraft attitude-control systems operate in this range during ultra-slow slew manoeuvres; GRACE-FO drag-free cold-gas thrusters produced angular accelerations at the nrad/s² scale. Ring laser gyroscopes monitoring Earth's polar motion require resolving nrad/s² variations. 1 nrad/s² = 10⁻⁹ rad/s² ≈ 1.02 × 10⁻⁹ rpm/s.
Quick Reference Table
| Milliradians per second squared (mrad/s²) | Nanoradians per second squared (nrad/s²) |
|---|---|
| 1 mrad/s² | 1000000 nrad/s² |
| 2 mrad/s² | 2000000 nrad/s² |
| 5 mrad/s² | 5000000 nrad/s² |
| 10 mrad/s² | 10000000 nrad/s² |
| 25 mrad/s² | 25000000 nrad/s² |
| 50 mrad/s² | 50000000 nrad/s² |
| 100 mrad/s² | 100000000 nrad/s² |