Convert Radians per hour to Radians per second
Convert Radians per hour (rad/h) to Radians per second (rad/s) instantly and accurately.
Conversion Formula
rad/s = rad/h × 0.0002777777778
About Radians per hour
The radian per hour (rad/h) equals 1/3600 rad/s ≈ 2.778 × 10⁻⁴ rad/s. In tidal harmonic analysis, constituents are characterised by their angular speed in rad/h: the principal lunar M₂ tide has σ ≈ 0.5059 rad/h; the solar S₂ exactly π/6 ≈ 0.5236 rad/h. A geostationary satellite tracks at 2π/24 ≈ 0.2618 rad/h - the same as Earth's sidereal rate, which equatorial telescope drives must match to follow stars. Rotary cement kilns (up to 230 m long) rotate at 0.1-0.5 rad/h. 1 rad/h = 1/3600 rad/s ≈ 0.1592 rpm.
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
| Radians per hour (rad/h) | Radians per second (rad/s) |
|---|---|
| 1 rad/h | 0.000277778 rad/s |
| 2 rad/h | 0.000555556 rad/s |
| 5 rad/h | 0.00138889 rad/s |
| 10 rad/h | 0.00277778 rad/s |
| 25 rad/h | 0.00694444 rad/s |
| 50 rad/h | 0.0138889 rad/s |
| 100 rad/h | 0.0277778 rad/s |