Convert Milliradians per second squared to Radians per minute per second

Convert Milliradians per second squared (mrad/s²) to Radians per minute per second (rad/min/s) instantly and accurately.

Milliradians per second squared (mrad/s²)
Radians per minute per second (rad/min/s)

Conversion Formula

rad/min/s = mrad/s² × 0.06

About Milliradians per second squared

The milliradian per second squared (mrad/s²) equals 10⁻³ rad/s², the natural unit for robotic joint angular acceleration. Industrial robot arms (KUKA KR 1000, ABB IRB 8700) run joint acceleration profiles of 50-500 mrad/s²; CNC machine spindle synchronisation algorithms generate 1-100 mrad/s². Optical phased-array beam-steering systems also operate in this range. 1 mrad/s² = 10⁻³ rad/s² ≈ 0.0573 °/s² ≈ 9.549 × 10⁻³ rpm/s.

About Radians per minute per second

The radian per minute per second (rad/min/s) equals 1/60 ≈ 0.016667 rad/s², expressing how quickly the angular rate in rad/min changes per second. Wind turbine control systems working in rad/min express start-up acceleration in rad/min/s; a 14 MW direct-drive offshore turbine ramping from 0 to 6 rad/min in 60 s accelerates at 0.1 rad/min/s. CNC spindle run-up profiles and paper-machine roll drives use rad/min/s. 1 rad/min/s = 1/60 rad/s².

Quick Reference Table

Milliradians per second squared (mrad/s²)Radians per minute per second (rad/min/s)
1 mrad/s²0.06 rad/min/s
2 mrad/s²0.12 rad/min/s
5 mrad/s²0.3 rad/min/s
10 mrad/s²0.6 rad/min/s
25 mrad/s²1.5 rad/min/s
50 mrad/s²3 rad/min/s
100 mrad/s²6 rad/min/s

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