Convert Radians per minute squared to Microradians per second squared

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

Radians per minute squared (rad/min²)
Microradians per second squared (µrad/s²)

Conversion Formula

µrad/s² = rad/min² × 277.7777778

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 Microradians per second squared

The microradian per second squared (µrad/s²) equals 10⁻⁶ rad/s², characteristic of navigation-grade inertial systems. Gyroscopes on commercial aircraft detect angular accelerations of 0.1-10 µrad/s² during steady cruise; aeroelastic wing flexing during gusts generates 5-50 µrad/s². Geodetic VLBI antennas accelerate through this range during sky survey slewing. 1 µrad/s² = 10⁻⁶ rad/s² ≈ 5.73 × 10⁻⁵ °/s².

Quick Reference Table

Radians per minute squared (rad/min²)Microradians per second squared (µrad/s²)
1 rad/min²277.778 µrad/s²
2 rad/min²555.556 µrad/s²
5 rad/min²1388.89 µrad/s²
10 rad/min²2777.78 µrad/s²
25 rad/min²6944.44 µrad/s²
50 rad/min²13888.9 µrad/s²
100 rad/min²27777.8 µrad/s²

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