Convert Revolutions per day to Degrees per second
Convert Revolutions per day (rev/d) to Degrees per second (°/s) instantly and accurately.
Conversion Formula
°/s = rev/d × 0.004166666667
About Revolutions per day
The revolution per day (rev/d) equals π/43200 rad/s ≈ 7.272 × 10⁻⁵ rad/s, the scale of planetary rotation and orbital mechanics. Earth spins at 1.00274 rev/day (sidereal); Mars at 1.027 rev/day (sol = 24 h 37 min); Jupiter at 2.417 rev/day. Geostationary satellites orbit at exactly 1 rev/solar day; Molniya HEO satellites at 2 rev/day. The Moon is tidally locked at 1/27.322 rev/day. IERS Bulletin A tracks Earth's deviation from 1 rev/solar day to 0.1 ms precision. 1 rev/d ≈ 7.272 × 10⁻⁵ rad/s ≈ 6.944 × 10⁻³ 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
| Revolutions per day (rev/d) | Degrees per second (°/s) |
|---|---|
| 1 rev/d | 0.00416667 °/s |
| 2 rev/d | 0.00833333 °/s |
| 5 rev/d | 0.0208333 °/s |
| 10 rev/d | 0.0416667 °/s |
| 25 rev/d | 0.104167 °/s |
| 50 rev/d | 0.208333 °/s |
| 100 rev/d | 0.416667 °/s |