Convert Radians per hour to Microradians per second
Convert Radians per hour (rad/h) to Microradians per second (µrad/s) instantly and accurately.
Conversion Formula
µrad/s = rad/h × 277.7777778
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 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
| Radians per hour (rad/h) | Microradians per second (µrad/s) |
|---|---|
| 1 rad/h | 277.778 µrad/s |
| 2 rad/h | 555.556 µrad/s |
| 5 rad/h | 1388.89 µrad/s |
| 10 rad/h | 2777.78 µrad/s |
| 25 rad/h | 6944.44 µrad/s |
| 50 rad/h | 13888.9 µrad/s |
| 100 rad/h | 27777.8 µrad/s |