Convert Revolutions per hour to Nanoradians per second

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

Revolutions per hour (rev/h)
Nanoradians per second (nrad/s)

Conversion Formula

nrad/s = rev/h × 1745329.252

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 Nanoradians per second

The nanoradian per second (nrad/s) is 10⁻⁹ rad/s, accessible only to the most sensitive geodetic rotation sensors. The Wettzell G-ring laser gyroscope (4 m × 4 m Sagnac interferometer, Bavaria) measures Earth's rotation of ~72.92 µrad/s to a few nrad/s, resolving the Chandler wobble and polar motion. The proposed GINGER experiment targets the Lense-Thirring gravitomagnetic frame-dragging effect, predicted at ~39 nrad/s. State-of-the-art tactical-grade MEMS gyroscopes reach ~100 nrad/s/√Hz noise floors. 1 nrad/s = 10⁻⁹ rad/s ≈ 7.46 × 10⁻⁷ rpm.

Quick Reference Table

Revolutions per hour (rev/h)Nanoradians per second (nrad/s)
1 rev/h1745330 nrad/s
2 rev/h3490660 nrad/s
5 rev/h8726650 nrad/s
10 rev/h17453300 nrad/s
25 rev/h43633200 nrad/s
50 rev/h87266500 nrad/s
100 rev/h174533000 nrad/s

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