Convert Microradians per second to Revolutions per minute
Convert Microradians per second (µrad/s) to Revolutions per minute (rpm) instantly and accurately.
Conversion Formula
rpm = µrad/s × 9.549296586e-6
About Microradians per second
The microradian per second (µrad/s) is 10⁻⁶ rad/s. Earth's mean sidereal rotation rate is ≈72.921 µrad/s, the single most important reference at this scale. Navigation-grade ring laser gyroscopes (Honeywell GG1320) reach bias stability below 0.15 µrad/s; fibre-optic gyros for satellite attitude control (iXBlue ASTRIX-120) achieve 0.048 µrad/s. Postglacial isostatic rebound produces crustal block rotations detectable at 0.1-1 µrad/s in GPS survey networks. 1 µrad/s = 10⁻⁶ rad/s ≈ 5.73 × 10⁻⁵ °/s.
About Revolutions per minute
The revolution per minute (rpm) equals π/30 rad/s ≈ 0.1047 rad/s, the most universally recognised rotational speed unit in mechanical engineering. Common references: car petrol engines idle at 600-900 rpm, redline at 5500-8500 rpm; large marine diesel engines run at 75-120 rpm; electric induction motor synchronous speed = 60f/p rpm (3000 rpm at 50 Hz, 2-pole); hard drives at 5400-15000 rpm; dental turbines up to 400000 rpm; washing machine spin 400-1600 rpm. ISO 6336 and ANSI/AGMA gear standards use rpm throughout. 1 rpm = π/30 rad/s = 6 °/s = 1/60 rps.
Quick Reference Table
| Microradians per second (µrad/s) | Revolutions per minute (rpm) |
|---|---|
| 1 µrad/s | 9.549 × 10-6 rpm |
| 2 µrad/s | 1.91 × 10-5 rpm |
| 5 µrad/s | 4.775 × 10-5 rpm |
| 10 µrad/s | 9.549 × 10-5 rpm |
| 25 µrad/s | 0.000238732 rpm |
| 50 µrad/s | 0.000477465 rpm |
| 100 µrad/s | 0.00095493 rpm |