Convert Degrees per second squared to Microradians per second squared

Convert Degrees per second squared (°/s²) to Microradians per second squared (µrad/s²) instantly and accurately.

Degrees per second squared (°/s²)
Microradians per second squared (µrad/s²)

Conversion Formula

µrad/s² = °/s² × 17453.29252

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 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 second squared (°/s²)Microradians per second squared (µrad/s²)
1 °/s²17453.3 µrad/s²
2 °/s²34906.6 µrad/s²
5 °/s²87266.5 µrad/s²
10 °/s²174533 µrad/s²
25 °/s²436332 µrad/s²
50 °/s²872665 µrad/s²
100 °/s²1745330 µrad/s²

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