Convert Radians per minute to Revolutions per minute

Convert Radians per minute (rad/min) to Revolutions per minute (rpm) instantly and accurately.

Radians per minute (rad/min)
Revolutions per minute (rpm)

Conversion Formula

rpm = rad/min × 0.1591549431

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 minute

The revolution per minute (rpm) equals π/30 rad/s ≈ 0.1047 rad/s, the most universally recognised rotational speed unit in mechanical engineering. Common references: car petrol engines idle at 600-900 rpm, redline at 5500-8500 rpm; large marine diesel engines run at 75-120 rpm; electric induction motor synchronous speed = 60f/p rpm (3000 rpm at 50 Hz, 2-pole); hard drives at 5400-15000 rpm; dental turbines up to 400000 rpm; washing machine spin 400-1600 rpm. ISO 6336 and ANSI/AGMA gear standards use rpm throughout. 1 rpm = π/30 rad/s = 6 °/s = 1/60 rps.

Quick Reference Table

Radians per minute (rad/min)Revolutions per minute (rpm)
1 rad/min0.159155 rpm
2 rad/min0.31831 rpm
5 rad/min0.795775 rpm
10 rad/min1.59155 rpm
25 rad/min3.97887 rpm
50 rad/min7.95775 rpm
100 rad/min15.9155 rpm

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