Convert Revolutions per minute to Milliradians per second

Convert Revolutions per minute (rpm) to Milliradians per second (mrad/s) instantly and accurately.

Conversion Formula

mrad/s = rpm × 104.7197551

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.

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

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