Mil to Revolution Converter
Angle · unit-converter
Convert Mil to Revolution with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations bridge through radians with fixed definitions (360° per turn, 400 grad per turn, 60′ per degree, 60″ per minute, plus practical units like MOA, urad, and NATO 6400 mils per turn).
About Mil
NATO mils split a full circle into 6,400 parts for artillery and tactical optics; 1 mil = 2π/6400 rad.
About Revolution
One revolution (turn) is a full circle: 2π radians or 360°. Used in rotation rates, motors, and astronomy (e.g. revolutions per minute).
How to convert mils (nato, 6400) to revolutions
1 mil equals 0.00015625 revolution in this tool (via radian):
1 mil = (0.0009817477042468104 rad ÷ 6.283185307179586 rad) turn = 0.00015625 turn
Each mil carries 0.0009817477042468104 rad and each revolution 6.283185307179586 rad, so one mil equals 0.0009817477042468104 ÷ 6.283185307179586 turn.
Let θ(mil) be the angle in Mil (mil), and θ(turn) in Revolution (turn). Then:
θ(turn) = θ(mil) × (0.0009817477042468104 / 6.283185307179586)
Equivalently, divide by how many mil fit into one turn (rad per turn divided by rad per mil):
θ(turn) = θ(mil) ÷ 6399.999999999999
Examples
Example #1: Convert 1 mil to revolution
1 mil = 1 mil × (0.0009817477042468104/6.283185307179586) turn = 0.00015625 turn
1 mil = 1 mil ÷ 6399.999999999999 = 0.00015625 turn
1 mil × (0.0009817477042468104/6.283185307179586) = 0.000156 turn
Example #2: Convert 10 mil to revolution
10 mil = 10 mil × (0.0009817477042468104/6.283185307179586) turn = 0.0015625 turn
10 mil = 10 mil ÷ 6399.999999999999 = 0.0015625 turn
10 mil × (0.0009817477042468104/6.283185307179586) = 0.001563 turn
Summary
To convert Mil to Revolution, multiply the value in mil by (0.0009817477042468104 rad per mil) / (6.283185307179586 rad per turn). Equivalently: value_turn = value_mil × (0.0009817477042468104 / 6.283185307179586). Numerically, 1 mil equals 0.00015625 turn.
Relationship context
Both Mil and Revolution are converted by fixed multiples of the radian. Multiplying by (rad per mil) ÷ (rad per turn) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Mil (mil) | Revolution (turn) |
|---|---|
| 0.1 | 0.000015625 |
| 1 | 0.00015625 |
| 2 | 0.0003125 |
| 3 | 0.00046875 |
| 4 | 0.000625 |
| 5 | 0.00078125 |
| 6 | 0.0009375 |
| 7 | 0.00109375 |
| 8 | 0.00125 |
| 9 | 0.00140625 |
| Mil (mil) | Revolution (turn) |
|---|---|
| 10 | 0.0015625 |
| 20 | 0.003125 |
| 30 | 0.0046875 |
| 40 | 0.00625 |
| 50 | 0.0078125 |
| 60 | 0.009375 |
| 70 | 0.0109375 |
| 80 | 0.0125 |
| 90 | 0.0140625 |
| 100 | 0.015625 |