Convert Degrees per minute to Milliradians per second
Convert Degrees per minute (°/min) to Milliradians per second (mrad/s) instantly and accurately.
Conversion Formula
mrad/s = °/min × 0.2908882087
About Degrees per minute
The degree per minute (°/min) equals π/10800 rad/s ≈ 2.909 × 10⁻⁴ rad/s. The sidereal tracking rate for astronomical telescopes is 0.25 °/min (15 °/h); modern robotic observatories slew at 100-400 °/min between targets. A clock's hour hand turns at 0.5 °/min; the minute hand at 6 °/min. Industrial drum conveyors for cement kilns rotate at 0.5-5 °/min; automotive power-steering columns during parking manoeuvres rotate at 30-180 °/min. 1 °/min ≈ 2.909 × 10⁻⁴ rad/s = 1/60 rpm.
About Milliradians per second
The milliradian per second (mrad/s) is 10⁻³ rad/s, used in precision guidance and antenna pointing. Phased-array radar beam steering rates for track-while-scan modes are typically 10-1000 mrad/s. LEO Earth-observation satellites (Sentinel-2, WorldView-3) manoeuvre between imaging targets at 5-20 mrad/s and slew at 50-200 mrad/s. Industrial robot wrist joints (KUKA, Fanuc) operate at 17-175 mrad/s. Optical encoders (Heidenhain RON 905) can measure angular velocity to 0.1 mrad/s accuracy. 1 mrad/s = 10⁻³ rad/s ≈ 0.0573 °/s ≈ 9.549 × 10⁻³ rpm.
Quick Reference Table
| Degrees per minute (°/min) | Milliradians per second (mrad/s) |
|---|---|
| 1 °/min | 0.290888 mrad/s |
| 2 °/min | 0.581776 mrad/s |
| 5 °/min | 1.45444 mrad/s |
| 10 °/min | 2.90888 mrad/s |
| 25 °/min | 7.27221 mrad/s |
| 50 °/min | 14.5444 mrad/s |
| 100 °/min | 29.0888 mrad/s |