Convert Milliradians per second to Revolutions per hour

Convert Milliradians per second (mrad/s) to Revolutions per hour (rev/h) instantly and accurately.

Milliradians per second (mrad/s)
Revolutions per hour (rev/h)

Conversion Formula

rev/h = mrad/s × 0.5729577951

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.

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.

Quick Reference Table

Milliradians per second (mrad/s)Revolutions per hour (rev/h)
1 mrad/s0.572958 rev/h
2 mrad/s1.14592 rev/h
5 mrad/s2.86479 rev/h
10 mrad/s5.72958 rev/h
25 mrad/s14.3239 rev/h
50 mrad/s28.6479 rev/h
100 mrad/s57.2958 rev/h

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