Convert Gradians per second to Revolutions per day
Convert Gradians per second (gon/s) to Revolutions per day (rev/d) instantly and accurately.
Conversion Formula
rev/d = gon/s × 216
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 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
| Gradians per second (gon/s) | Revolutions per day (rev/d) |
|---|---|
| 1 gon/s | 216 rev/d |
| 2 gon/s | 432 rev/d |
| 5 gon/s | 1080 rev/d |
| 10 gon/s | 2160 rev/d |
| 25 gon/s | 5400 rev/d |
| 50 gon/s | 10800 rev/d |
| 100 gon/s | 21600 rev/d |