Convert Degrees per hour to Radians per second
Convert Degrees per hour (°/h) to Radians per second (rad/s) instantly and accurately.
Conversion Formula
rad/s = °/h × 4.848136811e-6
About Degrees per hour
The degree per hour (°/h) equals π/648000 rad/s ≈ 4.848 × 10⁻⁶ rad/s, the universal benchmark for gyroscope drift rate. Performance tiers: consumer MEMS (smartphone) 30-2000 °/h; tactical grade (guided munitions) 0.1-30 °/h; navigation grade (commercial aircraft) 0.001-0.1 °/h; strategic grade (submarines, ICBMs) below 0.001 °/h. Earth's rotation rate of 15.041 °/h is the calibration reference for every gyrocompass. A 0.01 °/h drift yields about 1.1 km position error after 1 hour of unaided inertial navigation at the equator. 1 °/h ≈ 4.848 × 10⁻⁶ rad/s.
About Radians per second
The radian per second (rad/s) is the SI coherent derived unit of angular velocity. It appears naturally in all analytical mechanics: angular frequency ω = 2πf; torque-power relation P = τω; pendulum natural frequency ωₙ = √(g/L); Bode plot frequency axis. All SI engineering software (FEM solvers, robotics middleware ROS, control system toolboxes) uses rad/s natively. Earth's rotation rate Ω⊕ = 7.292 × 10⁻⁵ rad/s. Power electronics PWM carriers at 2-20 kHz correspond to 12566-125664 rad/s. 1 rad/s ≈ 9.5493 rpm = 57.296 °/s.
Quick Reference Table
| Degrees per hour (°/h) | Radians per second (rad/s) |
|---|---|
| 1 °/h | 4.848 × 10-6 rad/s |
| 2 °/h | 9.696 × 10-6 rad/s |
| 5 °/h | 2.424 × 10-5 rad/s |
| 10 °/h | 4.848 × 10-5 rad/s |
| 25 °/h | 0.000121203 rad/s |
| 50 °/h | 0.000242407 rad/s |
| 100 °/h | 0.000484814 rad/s |