Convert Arcminutes to Revolutions (′ to rev)
1 minute of arc (′) = 0.0000462962963 revolutions (rev). 1 rev = 21600 ′. Example: 15 ′ = 15 × 0.0000462962963 = 0.0006944444444 rev.
Also searched as minutes of arc to rev, minutes of arc in rev, minutes of arc into revolutions, ′ to rev, ′ in revolutions, ′ into revolution, minute of arc to revolution, ′ to revolutions converter and how many revolutions in a minute of arc.
1 ′ = 0.0000462962963 rev
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk minute of arc to revolution converter to paste a column from Excel.
How to Convert Arcminute to Revolution
- 1 ′ = 0.0000462962963 rev
- 1 rev = 21600 ′
- Example: convert 15 ′ to rev: 15 ′ = 15 × 0.0000462962963 rev = 0.0006944444444 rev
Formula
rev = ′ ÷ 21600
Derivation from SI units:
- 1′ = (1/60)° = π/10 800 rad.
- 1 revolution = 2π rad = 360°.
- 1 ′ = 0.0002908882086657 rad ÷ 6.28318530718 rad per rev = 0.0000462962962963 rev
Both units are defined exactly, so the factor is exact. Arcminute definition: minute of arc; Revolution definition: revolution.
Worked examples
- A reading of 15 ′ converts to 0.0006944444444 rev.
15 ′ × 0.0000462962963 = 0.0006944444444 rev - A value of 45 ′ is 0.002083333333 rev.
45 ′ × 0.0000462962963 = 0.002083333333 rev
Arcminute to Revolution conversion table
| Arcminutes (′) | Revolutions (rev) |
|---|---|
| 1 ′ | 0.0000462962963 rev |
| 5 ′ | 0.0002314814815 rev |
| 10 ′ | 0.000462962963 rev |
| 15 ′ | 0.0006944444444 rev |
| 20 ′ | 0.0009259259259 rev |
| 30 ′ | 0.001388888889 rev |
| 45 ′ | 0.002083333333 rev |
| 60 ′ | 0.002777777778 rev |
| 90 ′ | 0.004166666667 rev |
| 120 ′ | 0.005555555556 rev |
Where it's used
Arcminutes are used for latitude and longitude (degrees, minutes, seconds), while revolutions appear in rotating machinery (rpm). Both measure plane angle, so the conversion is a fixed factor.
Arcminute to other angle units
| Conversion | 1 ′ equals |
|---|---|
| minute of arc to revolution | 0.0000462962963 rev |
| minute of arc to radian | 0.0002908882087 rad |
| minute of arc to degree | 0.01666666667 ° |
| minute of arc to gradian | 0.01851851852 gon |
| minute of arc to second of arc | 60 ″ |
Frequently asked questions
How many revolutions are in 1 minute of arc?
1 ′ = 0.0000462962963 rev.
How do I convert minutes of arc to revolutions?
Multiply the value in ′ by 0.0000462962963, or divide it by 21600. For example, 15 ′ × 0.0000462962963 = 0.0006944444444 rev.
Is the ′ to rev conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4 (radian) and Table 8 (non-SI units accepted for use with the SI).
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Arcminutes to Revolutions (′ to rev). Retrieved October 25, 2026, from https://scientificconverters.com/angle/arcminutes-to-revolutions/
IEEE
Scientific Converters, "Convert Arcminutes to Revolutions (′ to rev)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/angle/arcminutes-to-revolutions/