Convert Revolutions per day to Revolutions per second
Convert Revolutions per day (rev/d) to Revolutions per second (rps) instantly and accurately.
Conversion Formula
rps = rev/d × 1.157407407e-5
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 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
| Revolutions per day (rev/d) | Revolutions per second (rps) |
|---|---|
| 1 rev/d | 1.157 × 10-5 rps |
| 2 rev/d | 2.315 × 10-5 rps |
| 5 rev/d | 5.787 × 10-5 rps |
| 10 rev/d | 0.000115741 rps |
| 25 rev/d | 0.000289352 rps |
| 50 rev/d | 0.000578704 rps |
| 100 rev/d | 0.00115741 rps |