Convert Revolutions per minute squared to Radians per second squared

Convert Revolutions per minute squared (rev/min²) to Radians per second squared (rad/s²) instantly and accurately.

Revolutions per minute squared (rev/min²)
Radians per second squared (rad/s²)

Conversion Formula

rad/s² = rev/min² × 0.001745329252

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.

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 squared (rev/min²)Radians per second squared (rad/s²)
1 rev/min²0.00174533 rad/s²
2 rev/min²0.00349066 rad/s²
5 rev/min²0.00872665 rad/s²
10 rev/min²0.0174533 rad/s²
25 rev/min²0.0436332 rad/s²
50 rev/min²0.0872665 rad/s²
100 rev/min²0.174533 rad/s²

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