Convert Microradians per second to Revolutions per day
Convert Microradians per second (µrad/s) to Revolutions per day (rev/d) instantly and accurately.
Conversion Formula
rev/d = µrad/s × 0.01375098708
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.
About Revolutions per day
The revolution per day (rev/d) equals π/43200 rad/s ≈ 7.272 × 10⁻⁵ rad/s, the scale of planetary rotation and orbital mechanics. Earth spins at 1.00274 rev/day (sidereal); Mars at 1.027 rev/day (sol = 24 h 37 min); Jupiter at 2.417 rev/day. Geostationary satellites orbit at exactly 1 rev/solar day; Molniya HEO satellites at 2 rev/day. The Moon is tidally locked at 1/27.322 rev/day. IERS Bulletin A tracks Earth's deviation from 1 rev/solar day to 0.1 ms precision. 1 rev/d ≈ 7.272 × 10⁻⁵ rad/s ≈ 6.944 × 10⁻³ rpm.
Quick Reference Table
| Microradians per second (µrad/s) | Revolutions per day (rev/d) |
|---|---|
| 1 µrad/s | 0.013751 rev/d |
| 2 µrad/s | 0.027502 rev/d |
| 5 µrad/s | 0.0687549 rev/d |
| 10 µrad/s | 0.13751 rev/d |
| 25 µrad/s | 0.343775 rev/d |
| 50 µrad/s | 0.687549 rev/d |
| 100 µrad/s | 1.3751 rev/d |