Convert Milliradians per second to Microradians per second
Convert Milliradians per second (mrad/s) to Microradians per second (µrad/s) instantly and accurately.
Conversion Formula
µrad/s = mrad/s × 1000
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 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.
Quick Reference Table
| Milliradians per second (mrad/s) | Microradians per second (µrad/s) |
|---|---|
| 1 mrad/s | 1000 µrad/s |
| 2 mrad/s | 2000 µrad/s |
| 5 mrad/s | 5000 µrad/s |
| 10 mrad/s | 10000 µrad/s |
| 25 mrad/s | 25000 µrad/s |
| 50 mrad/s | 50000 µrad/s |
| 100 mrad/s | 100000 µrad/s |