Convert Revolutions per hour to Microradians per second

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

Revolutions per hour (rev/h)
Microradians per second (µrad/s)

Conversion Formula

µrad/s = rev/h × 1745.329252

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 Microradians per second

The microradian per second (µrad/s) is 10⁻⁶ rad/s. Earth's mean sidereal rotation rate is ≈72.921 µrad/s, the single most important reference at this scale. Navigation-grade ring laser gyroscopes (Honeywell GG1320) reach bias stability below 0.15 µrad/s; fibre-optic gyros for satellite attitude control (iXBlue ASTRIX-120) achieve 0.048 µrad/s. Postglacial isostatic rebound produces crustal block rotations detectable at 0.1-1 µrad/s in GPS survey networks. 1 µrad/s = 10⁻⁶ rad/s ≈ 5.73 × 10⁻⁵ °/s.

Quick Reference Table

Revolutions per hour (rev/h)Microradians per second (µrad/s)
1 rev/h1745.33 µrad/s
2 rev/h3490.66 µrad/s
5 rev/h8726.65 µrad/s
10 rev/h17453.3 µrad/s
25 rev/h43633.2 µrad/s
50 rev/h87266.5 µrad/s
100 rev/h174533 µrad/s

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