Convert Radians per hour to Revolutions per hour

Convert Radians per hour (rad/h) to Revolutions per hour (rev/h) instantly and accurately.

Radians per hour (rad/h)
Revolutions per hour (rev/h)

Conversion Formula

rev/h = rad/h × 0.1591549431

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.

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

Radians per hour (rad/h)Revolutions per hour (rev/h)
1 rad/h0.159155 rev/h
2 rad/h0.31831 rev/h
5 rad/h0.795775 rev/h
10 rad/h1.59155 rev/h
25 rad/h3.97887 rev/h
50 rad/h7.95775 rev/h
100 rad/h15.9155 rev/h

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