Convert Gradians per second to Degrees per second
Convert Gradians per second (gon/s) to Degrees per second (°/s) instantly and accurately.
Conversion Formula
°/s = gon/s × 0.9
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 Degrees per second
The degree per second (°/s) equals π/180 rad/s ≈ 0.01745 rad/s, the most widely used angular velocity unit in consumer electronics, robotics, and aviation. MEMS gyroscopes in smartphones range from ±16 °/s (precision mode) to ±2000 °/s (sports mode). Normal human head rotation is 30-80 °/s; car crash events exceed 2000 °/s. Weather radar antennas (WSR-88D NEXRAD) rotate at 3-6 °/s; FAA flight data recorders log roll rate to ±100 °/s. Robot joints (Universal Robots UR5e) operate at 10-180 °/s. 1 °/s = π/180 rad/s ≈ 1/6 rpm.
Quick Reference Table
| Gradians per second (gon/s) | Degrees per second (°/s) |
|---|---|
| 1 gon/s | 0.9 °/s |
| 2 gon/s | 1.8 °/s |
| 5 gon/s | 4.5 °/s |
| 10 gon/s | 9 °/s |
| 25 gon/s | 22.5 °/s |
| 50 gon/s | 45 °/s |
| 100 gon/s | 90 °/s |