Convert Radians per hour to Nanoradians per second
Convert Radians per hour (rad/h) to Nanoradians per second (nrad/s) instantly and accurately.
Conversion Formula
nrad/s = rad/h × 277777.7778
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 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
| Radians per hour (rad/h) | Nanoradians per second (nrad/s) |
|---|---|
| 1 rad/h | 277778 nrad/s |
| 2 rad/h | 555556 nrad/s |
| 5 rad/h | 1388890 nrad/s |
| 10 rad/h | 2777780 nrad/s |
| 25 rad/h | 6944440 nrad/s |
| 50 rad/h | 13888900 nrad/s |
| 100 rad/h | 27777800 nrad/s |