Convert Radians per second squared to Degrees per hour per second
Convert Radians per second squared (rad/s²) to Degrees per hour per second (°/h/s) instantly and accurately.
Conversion Formula
°/h/s = rad/s² × 206264.8062
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 hour per second
The degree per hour per second (°/h/s) equals π/648000 ≈ 4.848 × 10⁻⁶ rad/s², numerically identical to 1 °/min². Gyroscope bias ramp rate - the rate at which drift error accelerates - is specified in °/h/s per IEEE 952-1997; strategic-grade fibre-optic inertial navigation units achieve values below 0.001 °/h/s. 1 °/h/s = π/648000 rad/s² ≈ 4.848 × 10⁻⁶ rad/s².
Quick Reference Table
| Radians per second squared (rad/s²) | Degrees per hour per second (°/h/s) |
|---|---|
| 1 rad/s² | 206265 °/h/s |
| 2 rad/s² | 412530 °/h/s |
| 5 rad/s² | 1031320 °/h/s |
| 10 rad/s² | 2062650 °/h/s |
| 25 rad/s² | 5156620 °/h/s |
| 50 rad/s² | 10313200 °/h/s |
| 100 rad/s² | 20626500 °/h/s |