Convert Degrees per second squared to Nanoradians per second squared
Convert Degrees per second squared (°/s²) to Nanoradians per second squared (nrad/s²) instantly and accurately.
Conversion Formula
nrad/s² = °/s² × 17453292.52
About Degrees per second squared
The degree per second squared (°/s²) equals π/180 ≈ 0.017453 rad/s², the most intuitive angular acceleration unit. Human vestibular perception threshold starts near 1 °/s²; aircraft pitch acceleration during manoeuvres is 5-30 °/s²; robot joint acceleration 100-500 °/s². Automotive electronic stability control monitors yaw angular acceleration to detect spin onset. MEMS IMUs measure 0.1-1000 °/s². 1 °/s² = π/180 rad/s² ≈ 1/6 rpm/s.
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 second squared (°/s²) | Nanoradians per second squared (nrad/s²) |
|---|---|
| 1 °/s² | 17453300 nrad/s² |
| 2 °/s² | 34906600 nrad/s² |
| 5 °/s² | 87266500 nrad/s² |
| 10 °/s² | 174533000 nrad/s² |
| 25 °/s² | 436332000 nrad/s² |
| 50 °/s² | 872665000 nrad/s² |
| 100 °/s² | 1.745 × 109 nrad/s² |