Convert Degrees per second to Microradians per second

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

Conversion Formula

µrad/s = °/s × 17453.29252

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 Microradians per second

The microradian per second (µrad/s) is 10⁻⁶ rad/s. Earth's mean sidereal rotation rate is ≈72.921 µrad/s, the single most important reference at this scale. Navigation-grade ring laser gyroscopes (Honeywell GG1320) reach bias stability below 0.15 µrad/s; fibre-optic gyros for satellite attitude control (iXBlue ASTRIX-120) achieve 0.048 µrad/s. Postglacial isostatic rebound produces crustal block rotations detectable at 0.1-1 µrad/s in GPS survey networks. 1 µrad/s = 10⁻⁶ rad/s ≈ 5.73 × 10⁻⁵ °/s.

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