Convert Radians per hour to Revolutions per second
Convert Radians per hour (rad/h) to Revolutions per second (rps) instantly and accurately.
Conversion Formula
rps = rad/h × 4.420970641e-5
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 Revolutions per second
The revolution per second (rps) equals 2π rad/s ≈ 6.283 rad/s = 60 rpm, used for high-speed machines where rpm values become unwieldy. Numerically equal to hertz (Hz): a 100 rps rotor produces 100 Hz unbalance vibration, directly readable on an FFT spectrum. Gas turbine HP spools (GE GEnx) operate at 100-200 rps at cruise. Ultracentrifuges (Beckman Optima MAX-XP) reach 1333 rps (80000 rpm, 600000 × g). NMR magic-angle spinning probes rotate solid samples at 5-170 rps. Dental air turbines peak at 400-800 rps. 1 rps = 2π rad/s = 60 rpm = 360 °/s.
Quick Reference Table
| Radians per hour (rad/h) | Revolutions per second (rps) |
|---|---|
| 1 rad/h | 4.421 × 10-5 rps |
| 2 rad/h | 8.842 × 10-5 rps |
| 5 rad/h | 0.000221049 rps |
| 10 rad/h | 0.000442097 rps |
| 25 rad/h | 0.00110524 rps |
| 50 rad/h | 0.00221049 rps |
| 100 rad/h | 0.00442097 rps |