Convert Microradians per second to Milliradians per second

Convert Microradians per second (µrad/s) to Milliradians per second (mrad/s) instantly and accurately.

Microradians per second (µrad/s)
Milliradians per second (mrad/s)

Conversion Formula

mrad/s = µrad/s × 0.001

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.

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.

Quick Reference Table

Microradians per second (µrad/s)Milliradians per second (mrad/s)
1 µrad/s0.001 mrad/s
2 µrad/s0.002 mrad/s
5 µrad/s0.005 mrad/s
10 µrad/s0.01 mrad/s
25 µrad/s0.025 mrad/s
50 µrad/s0.05 mrad/s
100 µrad/s0.1 mrad/s

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