Convert Degrees per minute squared to Radians per second squared
Convert Degrees per minute squared (°/min²) to Radians per second squared (rad/s²) instantly and accurately.
Conversion Formula
rad/s² = °/min² × 4.848136811e-6
About Degrees per minute squared
The degree per minute squared (°/min²) equals π/648000 ≈ 4.848 × 10⁻⁶ rad/s², coincidentally equal to 1 °/h/s. It appears in slow rotational dynamics: spinning astronomical instrument platforms ramp up at fractions of a °/min² to avoid disturbing cryogenic detectors. Large CNC rotary tables for turbine disc indexing programme controlled acceleration profiles in °/min². 1 °/min² = π/648000 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
| Degrees per minute squared (°/min²) | Radians per second squared (rad/s²) |
|---|---|
| 1 °/min² | 4.848 × 10-6 rad/s² |
| 2 °/min² | 9.696 × 10-6 rad/s² |
| 5 °/min² | 2.424 × 10-5 rad/s² |
| 10 °/min² | 4.848 × 10-5 rad/s² |
| 25 °/min² | 0.000121203 rad/s² |
| 50 °/min² | 0.000242407 rad/s² |
| 100 °/min² | 0.000484814 rad/s² |