Convert Degrees per second squared to Milliradians per second squared
Convert Degrees per second squared (°/s²) to Milliradians per second squared (mrad/s²) instantly and accurately.
Conversion Formula
mrad/s² = °/s² × 17.45329252
About Degrees per second squared
The degree per second squared (°/s²) equals π/180 ≈ 0.017453 rad/s², the most intuitive angular acceleration unit. Human vestibular perception threshold starts near 1 °/s²; aircraft pitch acceleration during manoeuvres is 5-30 °/s²; robot joint acceleration 100-500 °/s². Automotive electronic stability control monitors yaw angular acceleration to detect spin onset. MEMS IMUs measure 0.1-1000 °/s². 1 °/s² = π/180 rad/s² ≈ 1/6 rpm/s.
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
| Degrees per second squared (°/s²) | Milliradians per second squared (mrad/s²) |
|---|---|
| 1 °/s² | 17.4533 mrad/s² |
| 2 °/s² | 34.9066 mrad/s² |
| 5 °/s² | 87.2665 mrad/s² |
| 10 °/s² | 174.533 mrad/s² |
| 25 °/s² | 436.332 mrad/s² |
| 50 °/s² | 872.665 mrad/s² |
| 100 °/s² | 1745.33 mrad/s² |