Revolution to Arc Minute Converter
Angle · unit-converter
Convert Revolution to Arc Minute 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 Arc Minute
An arc minute is 1/60 of a degree (π/10,800 rad). Used in astronomy, navigation, and precision optics (MOA).
How to convert revolutions to arc minutes
1 revolution equals 21600 arc minute in this tool (via radian):
1 turn = (6.283185307179586 rad ÷ 0.0002908882086657216 rad) arcmin = 21600 arcmin
Each revolution carries 6.283185307179586 rad and each arc minute 0.0002908882086657216 rad, so one turn equals 6.283185307179586 ÷ 0.0002908882086657216 arcmin.
Let θ(turn) be the angle in Revolution (turn), and θ(arcmin) in Arc Minute (arcmin). Then:
θ(arcmin) = θ(turn) × (6.283185307179586 / 0.0002908882086657216)
Equivalently, divide by how many turn fit into one arcmin (rad per arcmin divided by rad per turn):
θ(arcmin) = θ(turn) ÷ 0.000046296296296296294
Examples
Example #1: Convert 1 turn to arc minute
1 turn = 1 turn × (6.283185307179586/0.0002908882086657216) arcmin = 21600 arcmin
1 turn = 1 turn ÷ 0.000046296296296296294 = 21600 arcmin
1 turn × (6.283185307179586/0.0002908882086657216) = 21,600.000000 arcmin
Example #2: Convert 10 turn to arc minute
10 turn = 10 turn × (6.283185307179586/0.0002908882086657216) arcmin = 216000 arcmin
10 turn = 10 turn ÷ 0.000046296296296296294 = 216000 arcmin
10 turn × (6.283185307179586/0.0002908882086657216) = 216,000.000000 arcmin
Summary
To convert Revolution to Arc Minute, multiply the value in turn by (6.283185307179586 rad per turn) / (0.0002908882086657216 rad per arcmin). Equivalently: value_arcmin = value_turn × (6.283185307179586 / 0.0002908882086657216). Numerically, 1 turn equals 21600 arcmin.
Relationship context
Both Revolution and Arc Minute are converted by fixed multiples of the radian. Multiplying by (rad per turn) ÷ (rad per arcmin) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Revolution (turn) | Arc Minute (arcmin) |
|---|---|
| 0.1 | 2,160 |
| 1 | 21,600 |
| 2 | 43,200 |
| 3 | 64,800 |
| 4 | 86,400 |
| 5 | 108,000 |
| 6 | 129,600 |
| 7 | 151,200 |
| 8 | 172,800 |
| 9 | 194,400 |
| Revolution (turn) | Arc Minute (arcmin) |
|---|---|
| 10 | 216,000 |
| 20 | 432,000 |
| 30 | 648,000 |
| 40 | 864,000 |
| 50 | 1,080,000 |
| 60 | 1,296,000 |
| 70 | 1,512,000 |
| 80 | 1,728,000 |
| 90 | 1,944,000 |
| 100 | 2,160,000 |