Convert Radians per second squared to Revolutions per minute per second
Convert Radians per second squared (rad/s²) to Revolutions per minute per second (rpm/s) instantly and accurately.
Conversion Formula
rpm/s = rad/s² × 9.549296586
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.
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
| Radians per second squared (rad/s²) | Revolutions per minute per second (rpm/s) |
|---|---|
| 1 rad/s² | 9.5493 rpm/s |
| 2 rad/s² | 19.0986 rpm/s |
| 5 rad/s² | 47.7465 rpm/s |
| 10 rad/s² | 95.493 rpm/s |
| 25 rad/s² | 238.732 rpm/s |
| 50 rad/s² | 477.465 rpm/s |
| 100 rad/s² | 954.93 rpm/s |