Convert Radians per second squared to Revolutions per minute squared
Convert Radians per second squared (rad/s²) to Revolutions per minute squared (rev/min²) instantly and accurately.
Conversion Formula
rev/min² = rad/s² × 572.9577951
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 squared
The revolution per minute squared (rev/min²) equals π/1800 ≈ 1.745 × 10⁻³ rad/s². Also written rpm/min in drive engineering, it appears in variable-frequency drive (VFD) ramp settings; a 50 Hz induction motor reaching 1500 rpm in 10 s accelerates at 9000 rev/min². IEC 60034-4 motor testing and elevator traction drive specifications use rev/min². 1 rev/min² = π/1800 rad/s² ≈ 1.745 × 10⁻³ rad/s².
Quick Reference Table
| Radians per second squared (rad/s²) | Revolutions per minute squared (rev/min²) |
|---|---|
| 1 rad/s² | 572.958 rev/min² |
| 2 rad/s² | 1145.92 rev/min² |
| 5 rad/s² | 2864.79 rev/min² |
| 10 rad/s² | 5729.58 rev/min² |
| 25 rad/s² | 14323.9 rev/min² |
| 50 rad/s² | 28647.9 rev/min² |
| 100 rad/s² | 57295.8 rev/min² |