Convert Nanoradians per second to Milliradians per second
Convert Nanoradians per second (nrad/s) to Milliradians per second (mrad/s) instantly and accurately.
Conversion Formula
mrad/s = nrad/s × 1.000000000e-6
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.
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
| Nanoradians per second (nrad/s) | Milliradians per second (mrad/s) |
|---|---|
| 1 nrad/s | 1 × 10-6 mrad/s |
| 2 nrad/s | 2 × 10-6 mrad/s |
| 5 nrad/s | 5 × 10-6 mrad/s |
| 10 nrad/s | 1 × 10-5 mrad/s |
| 25 nrad/s | 2.5 × 10-5 mrad/s |
| 50 nrad/s | 5 × 10-5 mrad/s |
| 100 nrad/s | 1 × 10-4 mrad/s |