Convert Degrees per second to Gradians per second

Convert Degrees per second (°/s) to Gradians per second (gon/s) instantly and accurately.

Degrees per second (°/s)
Gradians per second (gon/s)

Conversion Formula

gon/s = °/s × 1.111111111

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.

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.

Quick Reference Table

Degrees per second (°/s)Gradians per second (gon/s)
1 °/s1.11111 gon/s
2 °/s2.22222 gon/s
5 °/s5.55556 gon/s
10 °/s11.1111 gon/s
25 °/s27.7778 gon/s
50 °/s55.5556 gon/s
100 °/s111.111 gon/s

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