Convert Nanoradians per second to Degrees per hour

Convert Nanoradians per second (nrad/s) to Degrees per hour (°/h) instantly and accurately.

Nanoradians per second (nrad/s)
Degrees per hour (°/h)

Conversion Formula

°/h = nrad/s × 0.0002062648062

About Nanoradians per second

The nanoradian per second (nrad/s) is 10⁻⁹ rad/s, accessible only to the most sensitive geodetic rotation sensors. The Wettzell G-ring laser gyroscope (4 m × 4 m Sagnac interferometer, Bavaria) measures Earth's rotation of ~72.92 µrad/s to a few nrad/s, resolving the Chandler wobble and polar motion. The proposed GINGER experiment targets the Lense-Thirring gravitomagnetic frame-dragging effect, predicted at ~39 nrad/s. State-of-the-art tactical-grade MEMS gyroscopes reach ~100 nrad/s/√Hz noise floors. 1 nrad/s = 10⁻⁹ rad/s ≈ 7.46 × 10⁻⁷ rpm.

About Degrees per hour

The degree per hour (°/h) equals π/648000 rad/s ≈ 4.848 × 10⁻⁶ rad/s, the universal benchmark for gyroscope drift rate. Performance tiers: consumer MEMS (smartphone) 30-2000 °/h; tactical grade (guided munitions) 0.1-30 °/h; navigation grade (commercial aircraft) 0.001-0.1 °/h; strategic grade (submarines, ICBMs) below 0.001 °/h. Earth's rotation rate of 15.041 °/h is the calibration reference for every gyrocompass. A 0.01 °/h drift yields about 1.1 km position error after 1 hour of unaided inertial navigation at the equator. 1 °/h ≈ 4.848 × 10⁻⁶ rad/s.

Quick Reference Table

Nanoradians per second (nrad/s)Degrees per hour (°/h)
1 nrad/s0.000206265 °/h
2 nrad/s0.00041253 °/h
5 nrad/s0.00103132 °/h
10 nrad/s0.00206265 °/h
25 nrad/s0.00515662 °/h
50 nrad/s0.0103132 °/h
100 nrad/s0.0206265 °/h

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