Convert Revolutions per hour to Radians per hour
Convert Revolutions per hour (rev/h) to Radians per hour (rad/h) instantly and accurately.
Conversion Formula
rad/h = rev/h × 6.283185307
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.
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.
Quick Reference Table
| Revolutions per hour (rev/h) | Radians per hour (rad/h) |
|---|---|
| 1 rev/h | 6.28319 rad/h |
| 2 rev/h | 12.5664 rad/h |
| 5 rev/h | 31.4159 rad/h |
| 10 rev/h | 62.8319 rad/h |
| 25 rev/h | 157.08 rad/h |
| 50 rev/h | 314.159 rad/h |
| 100 rev/h | 628.319 rad/h |