Convert Radians per minute per second to Microradians per second squared
Convert Radians per minute per second (rad/min/s) to Microradians per second squared (µrad/s²) instantly and accurately.
Conversion Formula
µrad/s² = rad/min/s × 16666.66667
About Radians per minute per second
The radian per minute per second (rad/min/s) equals 1/60 ≈ 0.016667 rad/s², expressing how quickly the angular rate in rad/min changes per second. Wind turbine control systems working in rad/min express start-up acceleration in rad/min/s; a 14 MW direct-drive offshore turbine ramping from 0 to 6 rad/min in 60 s accelerates at 0.1 rad/min/s. CNC spindle run-up profiles and paper-machine roll drives use rad/min/s. 1 rad/min/s = 1/60 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 per second (rad/min/s) | Microradians per second squared (µrad/s²) |
|---|---|
| 1 rad/min/s | 16666.7 µrad/s² |
| 2 rad/min/s | 33333.3 µrad/s² |
| 5 rad/min/s | 83333.3 µrad/s² |
| 10 rad/min/s | 166667 µrad/s² |
| 25 rad/min/s | 416667 µrad/s² |
| 50 rad/min/s | 833333 µrad/s² |
| 100 rad/min/s | 1666670 µrad/s² |