Convert Radians per second to Microradians per second
Convert Radians per second (rad/s) to Microradians per second (µrad/s) instantly and accurately.
Conversion Formula
µrad/s = rad/s × 1000000
About Radians per second
The radian per second (rad/s) is the SI coherent derived unit of angular velocity. It appears naturally in all analytical mechanics: angular frequency ω = 2πf; torque-power relation P = τω; pendulum natural frequency ωₙ = √(g/L); Bode plot frequency axis. All SI engineering software (FEM solvers, robotics middleware ROS, control system toolboxes) uses rad/s natively. Earth's rotation rate Ω⊕ = 7.292 × 10⁻⁵ rad/s. Power electronics PWM carriers at 2-20 kHz correspond to 12566-125664 rad/s. 1 rad/s ≈ 9.5493 rpm = 57.296 °/s.
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.
Quick Reference Table
| Radians per second (rad/s) | Microradians per second (µrad/s) |
|---|---|
| 1 rad/s | 1000000 µrad/s |
| 2 rad/s | 2000000 µrad/s |
| 5 rad/s | 5000000 µrad/s |
| 10 rad/s | 10000000 µrad/s |
| 25 rad/s | 25000000 µrad/s |
| 50 rad/s | 50000000 µrad/s |
| 100 rad/s | 100000000 µrad/s |