Convert Degrees per minute squared to Milliradians per second squared
Convert Degrees per minute squared (°/min²) to Milliradians per second squared (mrad/s²) instantly and accurately.
Conversion Formula
mrad/s² = °/min² × 0.004848136811
About Degrees per minute squared
The degree per minute squared (°/min²) equals π/648000 ≈ 4.848 × 10⁻⁶ rad/s², coincidentally equal to 1 °/h/s. It appears in slow rotational dynamics: spinning astronomical instrument platforms ramp up at fractions of a °/min² to avoid disturbing cryogenic detectors. Large CNC rotary tables for turbine disc indexing programme controlled acceleration profiles in °/min². 1 °/min² = π/648000 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
| Degrees per minute squared (°/min²) | Milliradians per second squared (mrad/s²) |
|---|---|
| 1 °/min² | 0.00484814 mrad/s² |
| 2 °/min² | 0.00969627 mrad/s² |
| 5 °/min² | 0.0242407 mrad/s² |
| 10 °/min² | 0.0484814 mrad/s² |
| 25 °/min² | 0.121203 mrad/s² |
| 50 °/min² | 0.242407 mrad/s² |
| 100 °/min² | 0.484814 mrad/s² |