Convert Revolutions per minute per second to Microradians per second squared
Convert Revolutions per minute per second (rpm/s) to Microradians per second squared (µrad/s²) instantly and accurately.
Conversion Formula
µrad/s² = rpm/s × 104719.7551
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.
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 per second (rpm/s) | Microradians per second squared (µrad/s²) |
|---|---|
| 1 rpm/s | 104720 µrad/s² |
| 2 rpm/s | 209440 µrad/s² |
| 5 rpm/s | 523599 µrad/s² |
| 10 rpm/s | 1047200 µrad/s² |
| 25 rpm/s | 2617990 µrad/s² |
| 50 rpm/s | 5235990 µrad/s² |
| 100 rpm/s | 10472000 µrad/s² |