Convert Revolutions per day to Microradians per second
Convert Revolutions per day (rev/d) to Microradians per second (µrad/s) instantly and accurately.
Conversion Formula
µrad/s = rev/d × 72.72205217
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.
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
| Revolutions per day (rev/d) | Microradians per second (µrad/s) |
|---|---|
| 1 rev/d | 72.7221 µrad/s |
| 2 rev/d | 145.444 µrad/s |
| 5 rev/d | 363.61 µrad/s |
| 10 rev/d | 727.221 µrad/s |
| 25 rev/d | 1818.05 µrad/s |
| 50 rev/d | 3636.1 µrad/s |
| 100 rev/d | 7272.21 µrad/s |