Convert Degrees per minute squared to Microradians per second squared
Convert Degrees per minute squared (°/min²) to Microradians per second squared (µrad/s²) instantly and accurately.
Conversion Formula
µrad/s² = °/min² × 4.848136811
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 Microradians per second squared
The microradian per second squared (µrad/s²) equals 10⁻⁶ rad/s², characteristic of navigation-grade inertial systems. Gyroscopes on commercial aircraft detect angular accelerations of 0.1-10 µrad/s² during steady cruise; aeroelastic wing flexing during gusts generates 5-50 µrad/s². Geodetic VLBI antennas accelerate through this range during sky survey slewing. 1 µrad/s² = 10⁻⁶ rad/s² ≈ 5.73 × 10⁻⁵ °/s².
Quick Reference Table
| Degrees per minute squared (°/min²) | Microradians per second squared (µrad/s²) |
|---|---|
| 1 °/min² | 4.84814 µrad/s² |
| 2 °/min² | 9.69627 µrad/s² |
| 5 °/min² | 24.2407 µrad/s² |
| 10 °/min² | 48.4814 µrad/s² |
| 25 °/min² | 121.203 µrad/s² |
| 50 °/min² | 242.407 µrad/s² |
| 100 °/min² | 484.814 µrad/s² |