Convert Degrees per hour to Revolutions per second
Convert Degrees per hour (°/h) to Revolutions per second (rps) instantly and accurately.
Conversion Formula
rps = °/h × 7.716049383e-7
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 Revolutions per second
The revolution per second (rps) equals 2π rad/s ≈ 6.283 rad/s = 60 rpm, used for high-speed machines where rpm values become unwieldy. Numerically equal to hertz (Hz): a 100 rps rotor produces 100 Hz unbalance vibration, directly readable on an FFT spectrum. Gas turbine HP spools (GE GEnx) operate at 100-200 rps at cruise. Ultracentrifuges (Beckman Optima MAX-XP) reach 1333 rps (80000 rpm, 600000 × g). NMR magic-angle spinning probes rotate solid samples at 5-170 rps. Dental air turbines peak at 400-800 rps. 1 rps = 2π rad/s = 60 rpm = 360 °/s.
Quick Reference Table
| Degrees per hour (°/h) | Revolutions per second (rps) |
|---|---|
| 1 °/h | 7.716 × 10-7 rps |
| 2 °/h | 1.543 × 10-6 rps |
| 5 °/h | 3.858 × 10-6 rps |
| 10 °/h | 7.716 × 10-6 rps |
| 25 °/h | 1.929 × 10-5 rps |
| 50 °/h | 3.858 × 10-5 rps |
| 100 °/h | 7.716 × 10-5 rps |