Convert Revolutions per day to Nanoradians per second
Convert Revolutions per day (rev/d) to Nanoradians per second (nrad/s) instantly and accurately.
Conversion Formula
nrad/s = rev/d × 72722.05217
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 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.
Quick Reference Table
| Revolutions per day (rev/d) | Nanoradians per second (nrad/s) |
|---|---|
| 1 rev/d | 72722.1 nrad/s |
| 2 rev/d | 145444 nrad/s |
| 5 rev/d | 363610 nrad/s |
| 10 rev/d | 727221 nrad/s |
| 25 rev/d | 1818050 nrad/s |
| 50 rev/d | 3636100 nrad/s |
| 100 rev/d | 7272210 nrad/s |