Convert Radians per second squared to Revolutions per second squared
Convert Radians per second squared (rad/s²) to Revolutions per second squared (rev/s²) instantly and accurately.
Conversion Formula
rev/s² = rad/s² × 0.1591549431
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 second squared
The revolution per second squared (rev/s²) equals 2π ≈ 6.2832 rad/s², used for high-speed machines. Ultracentrifuge rotors (Beckman-Coulter Optima MAX-XP) reach 1333 rps operating speed, achieving angular acceleration of 2-5 rev/s² during run-up. Dental air turbines spinning at 400 rps accelerate at 50-200 rev/s² during the power stroke. 1 rev/s² = 2π rad/s² = 60 rpm/s = 360 °/s².
Quick Reference Table
| Radians per second squared (rad/s²) | Revolutions per second squared (rev/s²) |
|---|---|
| 1 rad/s² | 0.159155 rev/s² |
| 2 rad/s² | 0.31831 rev/s² |
| 5 rad/s² | 0.795775 rev/s² |
| 10 rad/s² | 1.59155 rev/s² |
| 25 rad/s² | 3.97887 rev/s² |
| 50 rad/s² | 7.95775 rev/s² |
| 100 rad/s² | 15.9155 rev/s² |