Convert Revolutions per minute squared to Microradians per second squared
Convert Revolutions per minute squared (rev/min²) to Microradians per second squared (µrad/s²) instantly and accurately.
Conversion Formula
µrad/s² = rev/min² × 1745.329252
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.
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
| Revolutions per minute squared (rev/min²) | Microradians per second squared (µrad/s²) |
|---|---|
| 1 rev/min² | 1745.33 µrad/s² |
| 2 rev/min² | 3490.66 µrad/s² |
| 5 rev/min² | 8726.65 µrad/s² |
| 10 rev/min² | 17453.3 µrad/s² |
| 25 rev/min² | 43633.2 µrad/s² |
| 50 rev/min² | 87266.5 µrad/s² |
| 100 rev/min² | 174533 µrad/s² |