Convert Gradians per second to Degrees per hour

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

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

Conversion Formula

°/h = gon/s × 3240

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 hour

The degree per hour (°/h) equals π/648000 rad/s ≈ 4.848 × 10⁻⁶ rad/s, the universal benchmark for gyroscope drift rate. Performance tiers: consumer MEMS (smartphone) 30-2000 °/h; tactical grade (guided munitions) 0.1-30 °/h; navigation grade (commercial aircraft) 0.001-0.1 °/h; strategic grade (submarines, ICBMs) below 0.001 °/h. Earth's rotation rate of 15.041 °/h is the calibration reference for every gyrocompass. A 0.01 °/h drift yields about 1.1 km position error after 1 hour of unaided inertial navigation at the equator. 1 °/h ≈ 4.848 × 10⁻⁶ rad/s.

Quick Reference Table

Gradians per second (gon/s)Degrees per hour (°/h)
1 gon/s3240 °/h
2 gon/s6480 °/h
5 gon/s16200 °/h
10 gon/s32400 °/h
25 gon/s81000 °/h
50 gon/s162000 °/h
100 gon/s324000 °/h

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