Convert Degrees per hour to Radians per hour

Convert Degrees per hour (°/h) to Radians per hour (rad/h) instantly and accurately.

Conversion Formula

rad/h = °/h × 0.01745329252

About Degrees per hour

The degree per hour (°/h) equals π/648000 rad/s ≈ 4.848 × 10⁻⁶ rad/s, the universal benchmark for gyroscope drift rate. Performance tiers: consumer MEMS (smartphone) 30-2000 °/h; tactical grade (guided munitions) 0.1-30 °/h; navigation grade (commercial aircraft) 0.001-0.1 °/h; strategic grade (submarines, ICBMs) below 0.001 °/h. Earth's rotation rate of 15.041 °/h is the calibration reference for every gyrocompass. A 0.01 °/h drift yields about 1.1 km position error after 1 hour of unaided inertial navigation at the equator. 1 °/h ≈ 4.848 × 10⁻⁶ rad/s.

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.

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