Convert Radians per hour to Degrees per second
Convert Radians per hour (rad/h) to Degrees per second (°/s) instantly and accurately.
Conversion Formula
°/s = rad/h × 0.01591549431
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 Degrees per second
The degree per second (°/s) equals π/180 rad/s ≈ 0.01745 rad/s, the most widely used angular velocity unit in consumer electronics, robotics, and aviation. MEMS gyroscopes in smartphones range from ±16 °/s (precision mode) to ±2000 °/s (sports mode). Normal human head rotation is 30-80 °/s; car crash events exceed 2000 °/s. Weather radar antennas (WSR-88D NEXRAD) rotate at 3-6 °/s; FAA flight data recorders log roll rate to ±100 °/s. Robot joints (Universal Robots UR5e) operate at 10-180 °/s. 1 °/s = π/180 rad/s ≈ 1/6 rpm.
Quick Reference Table
| Radians per hour (rad/h) | Degrees per second (°/s) |
|---|---|
| 1 rad/h | 0.0159155 °/s |
| 2 rad/h | 0.031831 °/s |
| 5 rad/h | 0.0795775 °/s |
| 10 rad/h | 0.159155 °/s |
| 25 rad/h | 0.397887 °/s |
| 50 rad/h | 0.795775 °/s |
| 100 rad/h | 1.59155 °/s |