Convert Revolutions per second squared to Radians per second squared
Convert Revolutions per second squared (rev/s²) to Radians per second squared (rad/s²) instantly and accurately.
Conversion Formula
rad/s² = rev/s² × 6.283185307
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.
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 second squared (rev/s²) | Radians per second squared (rad/s²) |
|---|---|
| 1 rev/s² | 6.28319 rad/s² |
| 2 rev/s² | 12.5664 rad/s² |
| 5 rev/s² | 31.4159 rad/s² |
| 10 rev/s² | 62.8319 rad/s² |
| 25 rev/s² | 157.08 rad/s² |
| 50 rev/s² | 314.159 rad/s² |
| 100 rev/s² | 628.319 rad/s² |