Convert Gradians per second to Radians per hour
Convert Gradians per second (gon/s) to Radians per hour (rad/h) instantly and accurately.
Conversion Formula
rad/h = gon/s × 56.54866776
About Gradians per second
The gradian per second (gon/s) equals π/200 rad/s ≈ 0.01571 rad/s, where the gradian (1 gon = 0.9°) divides the right angle into 100 equal parts. Introduced during the French Revolution as part of decimal reform, the gradian remains the standard angular unit in European continental surveying: total stations (Leica TS16, Trimble S9) sold in Germany, France, and Scandinavia default to gon; Austrian and Swiss cadastral land registers record all bearings in gon. DIN 18709 specifies survey work in gon; ISO 80000-3 acknowledges the unit. 1 gon/s = π/200 rad/s ≈ 0.9 °/s ≈ 0.15 rpm.
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.
Quick Reference Table
| Gradians per second (gon/s) | Radians per hour (rad/h) |
|---|---|
| 1 gon/s | 56.5487 rad/h |
| 2 gon/s | 113.097 rad/h |
| 5 gon/s | 282.743 rad/h |
| 10 gon/s | 565.487 rad/h |
| 25 gon/s | 1413.72 rad/h |
| 50 gon/s | 2827.43 rad/h |
| 100 gon/s | 5654.87 rad/h |