Convert Degrees per minute to Nanoradians per second

Convert Degrees per minute (°/min) to Nanoradians per second (nrad/s) instantly and accurately.

Degrees per minute (°/min)
Nanoradians per second (nrad/s)

Conversion Formula

nrad/s = °/min × 290888.2087

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 Nanoradians per second

The nanoradian per second (nrad/s) is 10⁻⁹ rad/s, accessible only to the most sensitive geodetic rotation sensors. The Wettzell G-ring laser gyroscope (4 m × 4 m Sagnac interferometer, Bavaria) measures Earth's rotation of ~72.92 µrad/s to a few nrad/s, resolving the Chandler wobble and polar motion. The proposed GINGER experiment targets the Lense-Thirring gravitomagnetic frame-dragging effect, predicted at ~39 nrad/s. State-of-the-art tactical-grade MEMS gyroscopes reach ~100 nrad/s/√Hz noise floors. 1 nrad/s = 10⁻⁹ rad/s ≈ 7.46 × 10⁻⁷ rpm.

Quick Reference Table

Degrees per minute (°/min)Nanoradians per second (nrad/s)
1 °/min290888 nrad/s
2 °/min581776 nrad/s
5 °/min1454440 nrad/s
10 °/min2908880 nrad/s
25 °/min7272210 nrad/s
50 °/min14544400 nrad/s
100 °/min29088800 nrad/s

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