Convert Milliradians per second squared to Revolutions per minute squared

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

Milliradians per second squared (mrad/s²)
Revolutions per minute squared (rev/min²)

Conversion Formula

rev/min² = mrad/s² × 0.5729577951

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 Revolutions per minute squared

The revolution per minute squared (rev/min²) equals π/1800 ≈ 1.745 × 10⁻³ rad/s². Also written rpm/min in drive engineering, it appears in variable-frequency drive (VFD) ramp settings; a 50 Hz induction motor reaching 1500 rpm in 10 s accelerates at 9000 rev/min². IEC 60034-4 motor testing and elevator traction drive specifications use rev/min². 1 rev/min² = π/1800 rad/s² ≈ 1.745 × 10⁻³ rad/s².

Quick Reference Table

Milliradians per second squared (mrad/s²)Revolutions per minute squared (rev/min²)
1 mrad/s²0.572958 rev/min²
2 mrad/s²1.14592 rev/min²
5 mrad/s²2.86479 rev/min²
10 mrad/s²5.72958 rev/min²
25 mrad/s²14.3239 rev/min²
50 mrad/s²28.6479 rev/min²
100 mrad/s²57.2958 rev/min²

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