Convert Radians per second to Revolutions per hour
Convert Radians per second (rad/s) to Revolutions per hour (rev/h) instantly and accurately.
Conversion Formula
rev/h = rad/s × 572.9577951
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.
About Revolutions per hour
The revolution per hour (rev/h) equals π/1800 rad/s ≈ 1.745 × 10⁻³ rad/s, used for very slow rotating machinery. Cement rotary kilns - the world's longest continuously rotating machines (up to 230 m, 4000 t) - rotate at 1-5 rev/h; ball mills for ore grinding at 10-20 rev/h; concrete mixer trucks at 1-4 rev/h during transport. Large astronomical antenna drives and slow-scan telescope azimuth movements are also conveniently expressed in rev/h. 1 rev/h = π/1800 rad/s ≈ 0.02778 rpm.
Quick Reference Table
| Radians per second (rad/s) | Revolutions per hour (rev/h) |
|---|---|
| 1 rad/s | 572.958 rev/h |
| 2 rad/s | 1145.92 rev/h |
| 5 rad/s | 2864.79 rev/h |
| 10 rad/s | 5729.58 rev/h |
| 25 rad/s | 14323.9 rev/h |
| 50 rad/s | 28647.9 rev/h |
| 100 rad/s | 57295.8 rev/h |