Convert Gradians per second squared to Revolutions per minute per second
Convert Gradians per second squared (gon/s²) to Revolutions per minute per second (rpm/s) instantly and accurately.
Conversion Formula
rpm/s = gon/s² × 0.15
About Gradians per second squared
The gradian per second squared (gon/s²) equals π/200 ≈ 0.015708 rad/s². The gradian (1 gon = 0.9°) is the standard angular unit in continental European surveying; robotic total stations (Leica TS16, Trimble S-Series) that report angular speed in gon/s naturally characterise servo acceleration in gon/s². DIN 18709 survey instrument calibration records angular acceleration in the gradian system. 1 gon/s² = π/200 rad/s² ≈ 0.9 °/s².
About Revolutions per minute per second
The revolution per minute per second (rpm/s) equals π/30 ≈ 0.10472 rad/s², the dominant unit in motor and drivetrain data sheets. A petrol engine from idle to 5000 rpm in 3 s accelerates at ≈1667 rpm/s; electric car motors achieve up to 15000 rpm/s in torque-vectoring mode; washing machine spin-up from 0 to 1200 rpm in 40 s = 30 rpm/s. IEC 61800-2 servo drive specifications quote peak angular acceleration in rpm/s. 1 rpm/s = π/30 rad/s² = 6 °/s².
Quick Reference Table
| Gradians per second squared (gon/s²) | Revolutions per minute per second (rpm/s) |
|---|---|
| 1 gon/s² | 0.15 rpm/s |
| 2 gon/s² | 0.3 rpm/s |
| 5 gon/s² | 0.75 rpm/s |
| 10 gon/s² | 1.5 rpm/s |
| 25 gon/s² | 3.75 rpm/s |
| 50 gon/s² | 7.5 rpm/s |
| 100 gon/s² | 15 rpm/s |