Convert Microradians per second squared to Revolutions per minute per second
Convert Microradians per second squared (µrad/s²) to Revolutions per minute per second (rpm/s) instantly and accurately.
Conversion Formula
rpm/s = µrad/s² × 9.549296586e-6
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.
About Revolutions per minute per second
The revolution per minute per second (rpm/s) equals π/30 ≈ 0.10472 rad/s², the dominant unit in motor and drivetrain data sheets. A petrol engine from idle to 5000 rpm in 3 s accelerates at ≈1667 rpm/s; electric car motors achieve up to 15000 rpm/s in torque-vectoring mode; washing machine spin-up from 0 to 1200 rpm in 40 s = 30 rpm/s. IEC 61800-2 servo drive specifications quote peak angular acceleration in rpm/s. 1 rpm/s = π/30 rad/s² = 6 °/s².
Quick Reference Table
| Microradians per second squared (µrad/s²) | Revolutions per minute per second (rpm/s) |
|---|---|
| 1 µrad/s² | 9.549 × 10-6 rpm/s |
| 2 µrad/s² | 1.91 × 10-5 rpm/s |
| 5 µrad/s² | 4.775 × 10-5 rpm/s |
| 10 µrad/s² | 9.549 × 10-5 rpm/s |
| 25 µrad/s² | 0.000238732 rpm/s |
| 50 µrad/s² | 0.000477465 rpm/s |
| 100 µrad/s² | 0.00095493 rpm/s |