Convert Milliradians per second squared to Degrees per hour per second
Convert Milliradians per second squared (mrad/s²) to Degrees per hour per second (°/h/s) instantly and accurately.
Conversion Formula
°/h/s = mrad/s² × 206.2648062
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 hour per second
The degree per hour per second (°/h/s) equals π/648000 ≈ 4.848 × 10⁻⁶ rad/s², numerically identical to 1 °/min². Gyroscope bias ramp rate - the rate at which drift error accelerates - is specified in °/h/s per IEEE 952-1997; strategic-grade fibre-optic inertial navigation units achieve values below 0.001 °/h/s. 1 °/h/s = π/648000 rad/s² ≈ 4.848 × 10⁻⁶ rad/s².
Quick Reference Table
| Milliradians per second squared (mrad/s²) | Degrees per hour per second (°/h/s) |
|---|---|
| 1 mrad/s² | 206.265 °/h/s |
| 2 mrad/s² | 412.53 °/h/s |
| 5 mrad/s² | 1031.32 °/h/s |
| 10 mrad/s² | 2062.65 °/h/s |
| 25 mrad/s² | 5156.62 °/h/s |
| 50 mrad/s² | 10313.2 °/h/s |
| 100 mrad/s² | 20626.5 °/h/s |