Convert Degrees per minute per second to Milliradians per second squared
Convert Degrees per minute per second (°/min/s) to Milliradians per second squared (mrad/s²) instantly and accurately.
Conversion Formula
mrad/s² = °/min/s × 0.2908882087
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.
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 per second (°/min/s) | Milliradians per second squared (mrad/s²) |
|---|---|
| 1 °/min/s | 0.290888 mrad/s² |
| 2 °/min/s | 0.581776 mrad/s² |
| 5 °/min/s | 1.45444 mrad/s² |
| 10 °/min/s | 2.90888 mrad/s² |
| 25 °/min/s | 7.27221 mrad/s² |
| 50 °/min/s | 14.5444 mrad/s² |
| 100 °/min/s | 29.0888 mrad/s² |