Convert Degrees per minute per second to Radians per second squared
Convert Degrees per minute per second (°/min/s) to Radians per second squared (rad/s²) instantly and accurately.
Conversion Formula
rad/s² = °/min/s × 0.0002908882087
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.
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 per second (°/min/s) | Radians per second squared (rad/s²) |
|---|---|
| 1 °/min/s | 0.000290888 rad/s² |
| 2 °/min/s | 0.000581776 rad/s² |
| 5 °/min/s | 0.00145444 rad/s² |
| 10 °/min/s | 0.00290888 rad/s² |
| 25 °/min/s | 0.00727221 rad/s² |
| 50 °/min/s | 0.0145444 rad/s² |
| 100 °/min/s | 0.0290888 rad/s² |