Convert Revolutions per second to Radians per hour
Convert Revolutions per second (rps) to Radians per hour (rad/h) instantly and accurately.
Conversion Formula
rad/h = rps × 22619.46711
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.
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 second (rps) | Radians per hour (rad/h) |
|---|---|
| 1 rps | 22619.5 rad/h |
| 2 rps | 45238.9 rad/h |
| 5 rps | 113097 rad/h |
| 10 rps | 226195 rad/h |
| 25 rps | 565487 rad/h |
| 50 rps | 1130970 rad/h |
| 100 rps | 2261950 rad/h |