Convert Radians per minute to Revolutions per day
Convert Radians per minute (rad/min) to Revolutions per day (rev/d) instantly and accurately.
Conversion Formula
rev/d = rad/min × 229.1831181
About Radians per minute
The radian per minute (rad/min) equals 1/60 rad/s ≈ 0.01667 rad/s, convenient for wind turbine rotors and slow industrial drives. Large direct-drive offshore wind turbines (14-15 MW, e.g. Siemens Gamesa SG 14-222, Vestas V236) rotate at 4-15 rad/min (0.064-0.24 rpm). Pharmaceutical coating pans rotate at 0.5-10 rad/min; large CNC rotary tables for turbine disc machining run at 0.2-8 rad/min. VLT 8.2 m telescope tracks stars at the sidereal rate π/720 ≈ 0.00436 rad/min. 1 rad/min = 1/60 rad/s ≈ 0.1592 rpm.
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.
Quick Reference Table
| Radians per minute (rad/min) | Revolutions per day (rev/d) |
|---|---|
| 1 rad/min | 229.183 rev/d |
| 2 rad/min | 458.366 rev/d |
| 5 rad/min | 1145.92 rev/d |
| 10 rad/min | 2291.83 rev/d |
| 25 rad/min | 5729.58 rev/d |
| 50 rad/min | 11459.2 rev/d |
| 100 rad/min | 22918.3 rev/d |