Convert Revolutions per second to Milliradians per second

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

Conversion Formula

mrad/s = rps × 6283.185307

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 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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