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.

Degrees per second squared (°/s²)
Nanoradians per second squared (nrad/s²)

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 °/s²17453300 nrad/s²
2 °/s²34906600 nrad/s²
5 °/s²87266500 nrad/s²
10 °/s²174533000 nrad/s²
25 °/s²436332000 nrad/s²
50 °/s²872665000 nrad/s²
100 °/s²1.745 × 109 nrad/s²

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