Convert Degrees per minute squared to Nanoradians per second squared
Convert Degrees per minute squared (°/min²) to Nanoradians per second squared (nrad/s²) instantly and accurately.
Conversion Formula
nrad/s² = °/min² × 4848.136811
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 Nanoradians per second squared
The nanoradian per second squared (nrad/s²) equals 10⁻⁹ rad/s², measuring imperceptibly gradual changes in rotation rate. Precision spacecraft attitude-control systems operate in this range during ultra-slow slew manoeuvres; GRACE-FO drag-free cold-gas thrusters produced angular accelerations at the nrad/s² scale. Ring laser gyroscopes monitoring Earth's polar motion require resolving nrad/s² variations. 1 nrad/s² = 10⁻⁹ rad/s² ≈ 1.02 × 10⁻⁹ rpm/s.
Quick Reference Table
| Degrees per minute squared (°/min²) | Nanoradians per second squared (nrad/s²) |
|---|---|
| 1 °/min² | 4848.14 nrad/s² |
| 2 °/min² | 9696.27 nrad/s² |
| 5 °/min² | 24240.7 nrad/s² |
| 10 °/min² | 48481.4 nrad/s² |
| 25 °/min² | 121203 nrad/s² |
| 50 °/min² | 242407 nrad/s² |
| 100 °/min² | 484814 nrad/s² |