Convert Milliradians per second squared to Degrees per minute per second
Convert Milliradians per second squared (mrad/s²) to Degrees per minute per second (°/min/s) instantly and accurately.
Conversion Formula
°/min/s = mrad/s² × 3.437746771
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.
About Degrees per minute per second
The degree per minute per second (°/min/s) equals π/10800 ≈ 2.909 × 10⁻⁴ rad/s², expressing the rate of change of angular speed in °/min per second. Telescope drive systems ramp slew speed in °/min/s to prevent mechanical shock; a 2 °/min/s ramp safely accelerates to 120 °/min tracking rates. Rotary kiln drive start-up angular acceleration is commonly recorded in °/min/s. 1 °/min/s = π/10800 rad/s².
Quick Reference Table
| Milliradians per second squared (mrad/s²) | Degrees per minute per second (°/min/s) |
|---|---|
| 1 mrad/s² | 3.43775 °/min/s |
| 2 mrad/s² | 6.87549 °/min/s |
| 5 mrad/s² | 17.1887 °/min/s |
| 10 mrad/s² | 34.3775 °/min/s |
| 25 mrad/s² | 85.9437 °/min/s |
| 50 mrad/s² | 171.887 °/min/s |
| 100 mrad/s² | 343.775 °/min/s |