Convert Radians per minute squared to Milliradians per second squared

Convert Radians per minute squared (rad/min²) to Milliradians per second squared (mrad/s²) instantly and accurately.

Radians per minute squared (rad/min²)
Milliradians per second squared (mrad/s²)

Conversion Formula

mrad/s² = rad/min² × 0.2777777778

About Radians per minute squared

The radian per minute squared (rad/min²) equals 1/3600 ≈ 2.778 × 10⁻⁴ rad/s², used where rotational speed is expressed in rad/min. Wind turbine pitch-control systems characterise blade angular acceleration in rad/min². Pharmaceutical coating pans and rotary drum mixers with PLC ramp control use rad/min² for smooth start-up profiles. 1 rad/min² = 1/3600 rad/s² ≈ 2.778 × 10⁻⁴ rad/s².

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.

Quick Reference Table

Radians per minute squared (rad/min²)Milliradians per second squared (mrad/s²)
1 rad/min²0.277778 mrad/s²
2 rad/min²0.555556 mrad/s²
5 rad/min²1.38889 mrad/s²
10 rad/min²2.77778 mrad/s²
25 rad/min²6.94444 mrad/s²
50 rad/min²13.8889 mrad/s²
100 rad/min²27.7778 mrad/s²

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