Convert Milliradians per second to Radians per hour
Convert Milliradians per second (mrad/s) to Radians per hour (rad/h) instantly and accurately.
Conversion Formula
rad/h = mrad/s × 3.6
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 Radians per hour
The radian per hour (rad/h) equals 1/3600 rad/s ≈ 2.778 × 10⁻⁴ rad/s. In tidal harmonic analysis, constituents are characterised by their angular speed in rad/h: the principal lunar M₂ tide has σ ≈ 0.5059 rad/h; the solar S₂ exactly π/6 ≈ 0.5236 rad/h. A geostationary satellite tracks at 2π/24 ≈ 0.2618 rad/h - the same as Earth's sidereal rate, which equatorial telescope drives must match to follow stars. Rotary cement kilns (up to 230 m long) rotate at 0.1-0.5 rad/h. 1 rad/h = 1/3600 rad/s ≈ 0.1592 rpm.
Quick Reference Table
| Milliradians per second (mrad/s) | Radians per hour (rad/h) |
|---|---|
| 1 mrad/s | 3.6 rad/h |
| 2 mrad/s | 7.2 rad/h |
| 5 mrad/s | 18 rad/h |
| 10 mrad/s | 36 rad/h |
| 25 mrad/s | 90 rad/h |
| 50 mrad/s | 180 rad/h |
| 100 mrad/s | 360 rad/h |