Convert Revolutions per second squared to Milliradians per second squared
Convert Revolutions per second squared (rev/s²) to Milliradians per second squared (mrad/s²) instantly and accurately.
Conversion Formula
mrad/s² = rev/s² × 6283.185307
About Revolutions per second squared
The revolution per second squared (rev/s²) equals 2π ≈ 6.2832 rad/s², used for high-speed machines. Ultracentrifuge rotors (Beckman-Coulter Optima MAX-XP) reach 1333 rps operating speed, achieving angular acceleration of 2-5 rev/s² during run-up. Dental air turbines spinning at 400 rps accelerate at 50-200 rev/s² during the power stroke. 1 rev/s² = 2π rad/s² = 60 rpm/s = 360 °/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 second squared (rev/s²) | Milliradians per second squared (mrad/s²) |
|---|---|
| 1 rev/s² | 6283.19 mrad/s² |
| 2 rev/s² | 12566.4 mrad/s² |
| 5 rev/s² | 31415.9 mrad/s² |
| 10 rev/s² | 62831.9 mrad/s² |
| 25 rev/s² | 157080 mrad/s² |
| 50 rev/s² | 314159 mrad/s² |
| 100 rev/s² | 628319 mrad/s² |