Arc Minute to Revolution Converter
Angle · unit-converter
Convert Arc Minute 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 Arc Minute
An arc minute is 1/60 of a degree (π/10,800 rad). Used in astronomy, navigation, and precision optics (MOA).
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 arc minutes to revolutions
1 arc minute equals 0.000046296296296296294 revolution in this tool (via radian):
1 arcmin = (0.0002908882086657216 rad ÷ 6.283185307179586 rad) turn = 0.000046296296296296294 turn
Each arc minute carries 0.0002908882086657216 rad and each revolution 6.283185307179586 rad, so one arcmin equals 0.0002908882086657216 ÷ 6.283185307179586 turn.
Let θ(arcmin) be the angle in Arc Minute (arcmin), and θ(turn) in Revolution (turn). Then:
θ(turn) = θ(arcmin) × (0.0002908882086657216 / 6.283185307179586)
Equivalently, divide by how many arcmin fit into one turn (rad per turn divided by rad per arcmin):
θ(turn) = θ(arcmin) ÷ 21600
Examples
Example #1: Convert 1 arcmin to revolution
1 arcmin = 1 arcmin × (0.0002908882086657216/6.283185307179586) turn = 0.0000462963 turn
1 arcmin = 1 arcmin ÷ 21600 = 0.0000462963 turn
1 arcmin × (0.0002908882086657216/6.283185307179586) = 0.000046 turn
Example #2: Convert 10 arcmin to revolution
10 arcmin = 10 arcmin × (0.0002908882086657216/6.283185307179586) turn = 0.000462963 turn
10 arcmin = 10 arcmin ÷ 21600 = 0.000462963 turn
10 arcmin × (0.0002908882086657216/6.283185307179586) = 0.000463 turn
Summary
To convert Arc Minute to Revolution, multiply the value in arcmin by (0.0002908882086657216 rad per arcmin) / (6.283185307179586 rad per turn). Equivalently: value_turn = value_arcmin × (0.0002908882086657216 / 6.283185307179586). Numerically, 1 arcmin equals 0.000046296296296296294 turn.
Relationship context
Both Arc Minute and Revolution are converted by fixed multiples of the radian. Multiplying by (rad per arcmin) ÷ (rad per turn) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Arc Minute (arcmin) | Revolution (turn) |
|---|---|
| 0.1 | 0.0000046296 |
| 1 | 0.0000462963 |
| 2 | 0.0000925926 |
| 3 | 0.0001388889 |
| 4 | 0.0001851852 |
| 5 | 0.0002314815 |
| 6 | 0.0002777778 |
| 7 | 0.0003240741 |
| 8 | 0.0003703704 |
| 9 | 0.0004166667 |
| Arc Minute (arcmin) | Revolution (turn) |
|---|---|
| 10 | 0.000462963 |
| 20 | 0.0009259259 |
| 30 | 0.0013888889 |
| 40 | 0.0018518519 |
| 50 | 0.0023148148 |
| 60 | 0.0027777778 |
| 70 | 0.0032407407 |
| 80 | 0.0037037037 |
| 90 | 0.0041666667 |
| 100 | 0.0046296296 |