Convert Radians per hour to Milliradians per second
Convert Radians per hour (rad/h) to Milliradians per second (mrad/s) instantly and accurately.
Conversion Formula
mrad/s = rad/h × 0.2777777778
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.
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
| Radians per hour (rad/h) | Milliradians per second (mrad/s) |
|---|---|
| 1 rad/h | 0.277778 mrad/s |
| 2 rad/h | 0.555556 mrad/s |
| 5 rad/h | 1.38889 mrad/s |
| 10 rad/h | 2.77778 mrad/s |
| 25 rad/h | 6.94444 mrad/s |
| 50 rad/h | 13.8889 mrad/s |
| 100 rad/h | 27.7778 mrad/s |