Convert Nanoradians per second to Revolutions per day
Convert Nanoradians per second (nrad/s) to Revolutions per day (rev/d) instantly and accurately.
Conversion Formula
rev/d = nrad/s × 1.375098708e-5
About Nanoradians per second
The nanoradian per second (nrad/s) is 10⁻⁹ rad/s, accessible only to the most sensitive geodetic rotation sensors. The Wettzell G-ring laser gyroscope (4 m × 4 m Sagnac interferometer, Bavaria) measures Earth's rotation of ~72.92 µrad/s to a few nrad/s, resolving the Chandler wobble and polar motion. The proposed GINGER experiment targets the Lense-Thirring gravitomagnetic frame-dragging effect, predicted at ~39 nrad/s. State-of-the-art tactical-grade MEMS gyroscopes reach ~100 nrad/s/√Hz noise floors. 1 nrad/s = 10⁻⁹ rad/s ≈ 7.46 × 10⁻⁷ rpm.
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
| Nanoradians per second (nrad/s) | Revolutions per day (rev/d) |
|---|---|
| 1 nrad/s | 1.375 × 10-5 rev/d |
| 2 nrad/s | 2.75 × 10-5 rev/d |
| 5 nrad/s | 6.875 × 10-5 rev/d |
| 10 nrad/s | 0.00013751 rev/d |
| 25 nrad/s | 0.000343775 rev/d |
| 50 nrad/s | 0.000687549 rev/d |
| 100 nrad/s | 0.0013751 rev/d |