Convert Milliradians per second to Degrees per second

Convert Milliradians per second (mrad/s) to Degrees per second (°/s) instantly and accurately.

Conversion Formula

°/s = mrad/s × 0.05729577951

About Milliradians per second

The milliradian per second (mrad/s) is 10⁻³ rad/s, used in precision guidance and antenna pointing. Phased-array radar beam steering rates for track-while-scan modes are typically 10-1000 mrad/s. LEO Earth-observation satellites (Sentinel-2, WorldView-3) manoeuvre between imaging targets at 5-20 mrad/s and slew at 50-200 mrad/s. Industrial robot wrist joints (KUKA, Fanuc) operate at 17-175 mrad/s. Optical encoders (Heidenhain RON 905) can measure angular velocity to 0.1 mrad/s accuracy. 1 mrad/s = 10⁻³ rad/s ≈ 0.0573 °/s ≈ 9.549 × 10⁻³ rpm.

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.

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