Convert Revolutions per minute per second to Milliradians per second squared
Convert Revolutions per minute per second (rpm/s) to Milliradians per second squared (mrad/s²) instantly and accurately.
Conversion Formula
mrad/s² = rpm/s × 104.7197551
About Revolutions per minute per second
The revolution per minute per second (rpm/s) equals π/30 ≈ 0.10472 rad/s², the dominant unit in motor and drivetrain data sheets. A petrol engine from idle to 5000 rpm in 3 s accelerates at ≈1667 rpm/s; electric car motors achieve up to 15000 rpm/s in torque-vectoring mode; washing machine spin-up from 0 to 1200 rpm in 40 s = 30 rpm/s. IEC 61800-2 servo drive specifications quote peak angular acceleration in rpm/s. 1 rpm/s = π/30 rad/s² = 6 °/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 per second (rpm/s) | Milliradians per second squared (mrad/s²) |
|---|---|
| 1 rpm/s | 104.72 mrad/s² |
| 2 rpm/s | 209.44 mrad/s² |
| 5 rpm/s | 523.599 mrad/s² |
| 10 rpm/s | 1047.2 mrad/s² |
| 25 rpm/s | 2617.99 mrad/s² |
| 50 rpm/s | 5235.99 mrad/s² |
| 100 rpm/s | 10472 mrad/s² |