Convert Milliradians per second squared to Radians per minute squared

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

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

Conversion Formula

rad/min² = mrad/s² × 3.6

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 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.

Quick Reference Table

Milliradians per second squared (mrad/s²)Radians per minute squared (rad/min²)
1 mrad/s²3.6 rad/min²
2 mrad/s²7.2 rad/min²
5 mrad/s²18 rad/min²
10 mrad/s²36 rad/min²
25 mrad/s²90 rad/min²
50 mrad/s²180 rad/min²
100 mrad/s²360 rad/min²

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