Convert Revolutions per second squared to Microradians per second squared
Convert Revolutions per second squared (rev/s²) to Microradians per second squared (µrad/s²) instantly and accurately.
Conversion Formula
µrad/s² = rev/s² × 6283185.307
About Revolutions per second squared
The revolution per second squared (rev/s²) equals 2π ≈ 6.2832 rad/s², used for high-speed machines. Ultracentrifuge rotors (Beckman-Coulter Optima MAX-XP) reach 1333 rps operating speed, achieving angular acceleration of 2-5 rev/s² during run-up. Dental air turbines spinning at 400 rps accelerate at 50-200 rev/s² during the power stroke. 1 rev/s² = 2π rad/s² = 60 rpm/s = 360 °/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 second squared (rev/s²) | Microradians per second squared (µrad/s²) |
|---|---|
| 1 rev/s² | 6283190 µrad/s² |
| 2 rev/s² | 12566400 µrad/s² |
| 5 rev/s² | 31415900 µrad/s² |
| 10 rev/s² | 62831900 µrad/s² |
| 25 rev/s² | 157080000 µrad/s² |
| 50 rev/s² | 314159000 µrad/s² |
| 100 rev/s² | 628319000 µrad/s² |