Convert Revolutions per minute per second to Gradians per second squared
Convert Revolutions per minute per second (rpm/s) to Gradians per second squared (gon/s²) instantly and accurately.
Conversion Formula
gon/s² = rpm/s × 6.666666667
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.
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.
Quick Reference Table
| Revolutions per minute per second (rpm/s) | Gradians per second squared (gon/s²) |
|---|---|
| 1 rpm/s | 6.66667 gon/s² |
| 2 rpm/s | 13.3333 gon/s² |
| 5 rpm/s | 33.3333 gon/s² |
| 10 rpm/s | 66.6667 gon/s² |
| 25 rpm/s | 166.667 gon/s² |
| 50 rpm/s | 333.333 gon/s² |
| 100 rpm/s | 666.667 gon/s² |