Convert Nanoradians per second squared to Degrees per second squared

Convert Nanoradians per second squared (nrad/s²) to Degrees per second squared (°/s²) instantly and accurately.

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

Conversion Formula

°/s² = nrad/s² × 5.729577951e-8

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.

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.

Quick Reference Table

Nanoradians per second squared (nrad/s²)Degrees per second squared (°/s²)
1 nrad/s²5.73 × 10-8 °/s²
2 nrad/s²1.146 × 10-7 °/s²
5 nrad/s²2.865 × 10-7 °/s²
10 nrad/s²5.73 × 10-7 °/s²
25 nrad/s²1.432 × 10-6 °/s²
50 nrad/s²2.865 × 10-6 °/s²
100 nrad/s²5.73 × 10-6 °/s²

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