Convert Microradians per second to Revolutions per second
Convert Microradians per second (µrad/s) to Revolutions per second (rps) instantly and accurately.
Conversion Formula
rps = µrad/s × 1.591549431e-7
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 second
The revolution per second (rps) equals 2π rad/s ≈ 6.283 rad/s = 60 rpm, used for high-speed machines where rpm values become unwieldy. Numerically equal to hertz (Hz): a 100 rps rotor produces 100 Hz unbalance vibration, directly readable on an FFT spectrum. Gas turbine HP spools (GE GEnx) operate at 100-200 rps at cruise. Ultracentrifuges (Beckman Optima MAX-XP) reach 1333 rps (80000 rpm, 600000 × g). NMR magic-angle spinning probes rotate solid samples at 5-170 rps. Dental air turbines peak at 400-800 rps. 1 rps = 2π rad/s = 60 rpm = 360 °/s.
Quick Reference Table
| Microradians per second (µrad/s) | Revolutions per second (rps) |
|---|---|
| 1 µrad/s | 1.592 × 10-7 rps |
| 2 µrad/s | 3.183 × 10-7 rps |
| 5 µrad/s | 7.958 × 10-7 rps |
| 10 µrad/s | 1.592 × 10-6 rps |
| 25 µrad/s | 3.979 × 10-6 rps |
| 50 µrad/s | 7.958 × 10-6 rps |
| 100 µrad/s | 1.592 × 10-5 rps |