Convert Revolutions per day to Radians per hour
Convert Revolutions per day (rev/d) to Radians per hour (rad/h) instantly and accurately.
Conversion Formula
rad/h = rev/d × 0.2617993878
About Revolutions per day
The revolution per day (rev/d) equals π/43200 rad/s ≈ 7.272 × 10⁻⁵ rad/s, the scale of planetary rotation and orbital mechanics. Earth spins at 1.00274 rev/day (sidereal); Mars at 1.027 rev/day (sol = 24 h 37 min); Jupiter at 2.417 rev/day. Geostationary satellites orbit at exactly 1 rev/solar day; Molniya HEO satellites at 2 rev/day. The Moon is tidally locked at 1/27.322 rev/day. IERS Bulletin A tracks Earth's deviation from 1 rev/solar day to 0.1 ms precision. 1 rev/d ≈ 7.272 × 10⁻⁵ rad/s ≈ 6.944 × 10⁻³ 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 day (rev/d) | Radians per hour (rad/h) |
|---|---|
| 1 rev/d | 0.261799 rad/h |
| 2 rev/d | 0.523599 rad/h |
| 5 rev/d | 1.309 rad/h |
| 10 rev/d | 2.61799 rad/h |
| 25 rev/d | 6.54498 rad/h |
| 50 rev/d | 13.09 rad/h |
| 100 rev/d | 26.1799 rad/h |