Revolution to Mil Converter
Angle · unit-converter
Convert Revolution to Mil 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 Revolution
One revolution (turn) is a full circle: 2π radians or 360°. Used in rotation rates, motors, and astronomy (e.g. revolutions per minute).
About Mil
NATO mils split a full circle into 6,400 parts for artillery and tactical optics; 1 mil = 2π/6400 rad.
How to convert revolutions to mils (nato, 6400)
1 revolution equals 6399.999999999999 mil in this tool (via radian):
1 turn = (6.283185307179586 rad ÷ 0.0009817477042468104 rad) mil = 6399.999999999999 mil
Each revolution carries 6.283185307179586 rad and each mil 0.0009817477042468104 rad, so one turn equals 6.283185307179586 ÷ 0.0009817477042468104 mil.
Let θ(turn) be the angle in Revolution (turn), and θ(mil) in Mil (mil). Then:
θ(mil) = θ(turn) × (6.283185307179586 / 0.0009817477042468104)
Equivalently, divide by how many turn fit into one mil (rad per mil divided by rad per turn):
θ(mil) = θ(turn) ÷ 0.00015625
Examples
Example #1: Convert 1 turn to mil
1 turn = 1 turn × (6.283185307179586/0.0009817477042468104) mil = 6400 mil
1 turn = 1 turn ÷ 0.00015625 = 6400 mil
1 turn × (6.283185307179586/0.0009817477042468104) = 6,400.000000 mil
Example #2: Convert 10 turn to mil
10 turn = 10 turn × (6.283185307179586/0.0009817477042468104) mil = 64000 mil
10 turn = 10 turn ÷ 0.00015625 = 64000 mil
10 turn × (6.283185307179586/0.0009817477042468104) = 64,000.000000 mil
Summary
To convert Revolution to Mil, multiply the value in turn by (6.283185307179586 rad per turn) / (0.0009817477042468104 rad per mil). Equivalently: value_mil = value_turn × (6.283185307179586 / 0.0009817477042468104). Numerically, 1 turn equals 6399.999999999999 mil.
Relationship context
Both Revolution and Mil are converted by fixed multiples of the radian. Multiplying by (rad per turn) ÷ (rad per mil) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Revolution (turn) | Mil (mil) |
|---|---|
| 0.1 | 640 |
| 1 | 6,400 |
| 2 | 12,800 |
| 3 | 19,200 |
| 4 | 25,600 |
| 5 | 32,000 |
| 6 | 38,400 |
| 7 | 44,800 |
| 8 | 51,200 |
| 9 | 57,600 |
| Revolution (turn) | Mil (mil) |
|---|---|
| 10 | 64,000 |
| 20 | 128,000 |
| 30 | 192,000 |
| 40 | 256,000 |
| 50 | 320,000 |
| 60 | 384,000 |
| 70 | 448,000 |
| 80 | 512,000 |
| 90 | 576,000 |
| 100 | 640,000 |