Convert Revolutions per second to Radians per minute

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

Revolutions per second (rps)
Radians per minute (rad/min)

Conversion Formula

rad/min = rps × 376.9911184

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.

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.

Quick Reference Table

Revolutions per second (rps)Radians per minute (rad/min)
1 rps376.991 rad/min
2 rps753.982 rad/min
5 rps1884.96 rad/min
10 rps3769.91 rad/min
25 rps9424.78 rad/min
50 rps18849.6 rad/min
100 rps37699.1 rad/min

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