Convert Degrees per second to Nanoradians per second

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

Conversion Formula

nrad/s = °/s × 17453292.52

About Degrees per second

The degree per second (°/s) equals π/180 rad/s ≈ 0.01745 rad/s, the most widely used angular velocity unit in consumer electronics, robotics, and aviation. MEMS gyroscopes in smartphones range from ±16 °/s (precision mode) to ±2000 °/s (sports mode). Normal human head rotation is 30-80 °/s; car crash events exceed 2000 °/s. Weather radar antennas (WSR-88D NEXRAD) rotate at 3-6 °/s; FAA flight data recorders log roll rate to ±100 °/s. Robot joints (Universal Robots UR5e) operate at 10-180 °/s. 1 °/s = π/180 rad/s ≈ 1/6 rpm.

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.

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