Convert Radians per minute per second to Milliradians per second squared
Convert Radians per minute per second (rad/min/s) to Milliradians per second squared (mrad/s²) instantly and accurately.
Conversion Formula
mrad/s² = rad/min/s × 16.66666667
About Radians per minute per second
The radian per minute per second (rad/min/s) equals 1/60 ≈ 0.016667 rad/s², expressing how quickly the angular rate in rad/min changes per second. Wind turbine control systems working in rad/min express start-up acceleration in rad/min/s; a 14 MW direct-drive offshore turbine ramping from 0 to 6 rad/min in 60 s accelerates at 0.1 rad/min/s. CNC spindle run-up profiles and paper-machine roll drives use rad/min/s. 1 rad/min/s = 1/60 rad/s².
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.
Quick Reference Table
| Radians per minute per second (rad/min/s) | Milliradians per second squared (mrad/s²) |
|---|---|
| 1 rad/min/s | 16.6667 mrad/s² |
| 2 rad/min/s | 33.3333 mrad/s² |
| 5 rad/min/s | 83.3333 mrad/s² |
| 10 rad/min/s | 166.667 mrad/s² |
| 25 rad/min/s | 416.667 mrad/s² |
| 50 rad/min/s | 833.333 mrad/s² |
| 100 rad/min/s | 1666.67 mrad/s² |