Convert NATO Angular Mils to Turns
Convert NATO Angular Mils (mil (NATO)) to Turns (rev) instantly and accurately.
Conversion Formula
rev = mil (NATO) × 0.00015625
About NATO Angular Mils
The NATO angular mil equals 1/6,400 of a full circle - π/3,200 rad ≈ 0.9817 mrad. Artillery and mortar crews rely on its practical small-angle equivalence: 1 mil at 1,000 m subtends ~1 m (exact: 0.9817 m), enabling rapid range correction calculations. The 6,400-mil circle divides cleanly: 1,600 mils = 90°, 3,200 mils = 180°. Note: 1 NATO mil ≈ 0.9817 mrad - not the same as a milliradian; the 1.8% difference equals ~18 mm at 1,000 m. 1° ≈ 17.778 NATO mils.
About Turns
A turn (revolution, cycle) equals one complete rotation - 2π rad = 360° = 400 grad. Rotational speed is naturally measured in turns per minute (rpm): a car engine idles at ~750 rpm; a hard disk spins at 7,200 rpm. The factor 2π in physics formulas (ω = 2πf, E = hf = ħω) arises from converting turns to radians. The turn is the natural unit for gear ratios, transformer winding counts, and thread pitch (turns per inch). The tau convention (τ = 2π ≈ 6.2832) proposes 1τ = 1 full turn. 1 rpm = 1/60 Hz = 2π/60 rad/s ≈ 0.10472 rad/s.
Quick Reference Table
| NATO Angular Mils (mil (NATO)) | Turns (rev) |
|---|---|
| 1 mil (NATO) | 0.00015625 rev |
| 2 mil (NATO) | 0.0003125 rev |
| 5 mil (NATO) | 0.00078125 rev |
| 10 mil (NATO) | 0.0015625 rev |
| 25 mil (NATO) | 0.00390625 rev |
| 50 mil (NATO) | 0.0078125 rev |
| 100 mil (NATO) | 0.015625 rev |