Convert Revolutions per minute per second to Radians per second squared
Convert Revolutions per minute per second (rpm/s) to Radians per second squared (rad/s²) instantly and accurately.
Conversion Formula
rad/s² = rpm/s × 0.1047197551
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 Radians per second squared
The radian per second squared (rad/s²) is the SI coherent derived unit of angular acceleration. It appears in Newton's second law for rotation: τ = Iα, where torque τ is in N·m, moment of inertia I in kg·m², and angular acceleration α in rad/s². All engineering simulation tools (MATLAB, Simulink, ROS, FEM solvers) use rad/s² natively. A typical electric motor under full load accelerates at 10-100 rad/s². 1 rad/s² ≈ 57.296 °/s² ≈ 9.549 rpm/s.
Quick Reference Table
| Revolutions per minute per second (rpm/s) | Radians per second squared (rad/s²) |
|---|---|
| 1 rpm/s | 0.10472 rad/s² |
| 2 rpm/s | 0.20944 rad/s² |
| 5 rpm/s | 0.523599 rad/s² |
| 10 rpm/s | 1.0472 rad/s² |
| 25 rpm/s | 2.61799 rad/s² |
| 50 rpm/s | 5.23599 rad/s² |
| 100 rpm/s | 10.472 rad/s² |