Convert Revolutions per hour to Milliradians per second
Convert Revolutions per hour (rev/h) to Milliradians per second (mrad/s) instantly and accurately.
Conversion Formula
mrad/s = rev/h × 1.745329252
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 Milliradians per second
The milliradian per second (mrad/s) is 10⁻³ rad/s, used in precision guidance and antenna pointing. Phased-array radar beam steering rates for track-while-scan modes are typically 10-1000 mrad/s. LEO Earth-observation satellites (Sentinel-2, WorldView-3) manoeuvre between imaging targets at 5-20 mrad/s and slew at 50-200 mrad/s. Industrial robot wrist joints (KUKA, Fanuc) operate at 17-175 mrad/s. Optical encoders (Heidenhain RON 905) can measure angular velocity to 0.1 mrad/s accuracy. 1 mrad/s = 10⁻³ rad/s ≈ 0.0573 °/s ≈ 9.549 × 10⁻³ rpm.
Quick Reference Table
| Revolutions per hour (rev/h) | Milliradians per second (mrad/s) |
|---|---|
| 1 rev/h | 1.74533 mrad/s |
| 2 rev/h | 3.49066 mrad/s |
| 5 rev/h | 8.72665 mrad/s |
| 10 rev/h | 17.4533 mrad/s |
| 25 rev/h | 43.6332 mrad/s |
| 50 rev/h | 87.2665 mrad/s |
| 100 rev/h | 174.533 mrad/s |