Convert Radians per minute to Milliradians per second

Convert Radians per minute (rad/min) to Milliradians per second (mrad/s) instantly and accurately.

Radians per minute (rad/min)
Milliradians per second (mrad/s)

Conversion Formula

mrad/s = rad/min × 16.66666667

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 Milliradians per second

The milliradian per second (mrad/s) is 10⁻³ rad/s, used in precision guidance and antenna pointing. Phased-array radar beam steering rates for track-while-scan modes are typically 10-1000 mrad/s. LEO Earth-observation satellites (Sentinel-2, WorldView-3) manoeuvre between imaging targets at 5-20 mrad/s and slew at 50-200 mrad/s. Industrial robot wrist joints (KUKA, Fanuc) operate at 17-175 mrad/s. Optical encoders (Heidenhain RON 905) can measure angular velocity to 0.1 mrad/s accuracy. 1 mrad/s = 10⁻³ rad/s ≈ 0.0573 °/s ≈ 9.549 × 10⁻³ rpm.

Quick Reference Table

Radians per minute (rad/min)Milliradians per second (mrad/s)
1 rad/min16.6667 mrad/s
2 rad/min33.3333 mrad/s
5 rad/min83.3333 mrad/s
10 rad/min166.667 mrad/s
25 rad/min416.667 mrad/s
50 rad/min833.333 mrad/s
100 rad/min1666.67 mrad/s

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