Convert Radians per second squared to Degrees per minute per second
Convert Radians per second squared (rad/s²) to Degrees per minute per second (°/min/s) instantly and accurately.
Conversion Formula
°/min/s = rad/s² × 3437.746771
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 Degrees per minute per second
The degree per minute per second (°/min/s) equals π/10800 ≈ 2.909 × 10⁻⁴ rad/s², expressing the rate of change of angular speed in °/min per second. Telescope drive systems ramp slew speed in °/min/s to prevent mechanical shock; a 2 °/min/s ramp safely accelerates to 120 °/min tracking rates. Rotary kiln drive start-up angular acceleration is commonly recorded in °/min/s. 1 °/min/s = π/10800 rad/s².
Quick Reference Table
| Radians per second squared (rad/s²) | Degrees per minute per second (°/min/s) |
|---|---|
| 1 rad/s² | 3437.75 °/min/s |
| 2 rad/s² | 6875.49 °/min/s |
| 5 rad/s² | 17188.7 °/min/s |
| 10 rad/s² | 34377.5 °/min/s |
| 25 rad/s² | 85943.7 °/min/s |
| 50 rad/s² | 171887 °/min/s |
| 100 rad/s² | 343775 °/min/s |