Convert Revolutions per minute squared to Milliradians per second squared
Convert Revolutions per minute squared (rev/min²) to Milliradians per second squared (mrad/s²) instantly and accurately.
Conversion Formula
mrad/s² = rev/min² × 1.745329252
About Revolutions per minute squared
The revolution per minute squared (rev/min²) equals π/1800 ≈ 1.745 × 10⁻³ rad/s². Also written rpm/min in drive engineering, it appears in variable-frequency drive (VFD) ramp settings; a 50 Hz induction motor reaching 1500 rpm in 10 s accelerates at 9000 rev/min². IEC 60034-4 motor testing and elevator traction drive specifications use rev/min². 1 rev/min² = π/1800 rad/s² ≈ 1.745 × 10⁻³ 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
| Revolutions per minute squared (rev/min²) | Milliradians per second squared (mrad/s²) |
|---|---|
| 1 rev/min² | 1.74533 mrad/s² |
| 2 rev/min² | 3.49066 mrad/s² |
| 5 rev/min² | 8.72665 mrad/s² |
| 10 rev/min² | 17.4533 mrad/s² |
| 25 rev/min² | 43.6332 mrad/s² |
| 50 rev/min² | 87.2665 mrad/s² |
| 100 rev/min² | 174.533 mrad/s² |