Arcseconds to Revolutions Converter
Enter the angle in arcseconds below to convert it to revolutions.
Convert Arcseconds to Revolutions
Enter a value in arcseconds (″) to convert to revolutions (rev).
Second of Arc to Revolution Conversion Table
Table showing various second of arc measurements converted to revolutions. Click any preset value or arrow to load it into the converter.
| Arcseconds (″) | Revolutions (rev) |
|---|---|
| 1 ″ | 0.000000772 rev |
| 10 ″ | 0.000007716 rev |
| 100 ″ | 0.00007716 rev |
| 1,000 ″ | 0.000771605 rev |
| 10,000 ″ | 0.007716 rev |
| 100,000 ″ | 0.0771605 rev |
| 1,000,000 ″ | 0.7716049 rev |
| 5,000,000 ″ | 3.8580247 rev |
| 10,000,000 ″ | 7.7160494 rev |
| 25,400,000 ″ | 19.5987654 rev |
How to Convert Arcseconds to Revolutions
To convert arcseconds to revolutions, multiply the angle by the following conversion ratio: 0.000000772 revolutions/second of arc.
Since one second of arc is equal to 0.000000772 revolutions, you can use this simple formula to convert:
The angle in revolutions is equal to the angle in arcseconds multiplied by 0.000000772.
For example, here's how to convert 5 arcseconds to revolutions using the formula above.
How Many Revolutions Are in a Second of Arc?
There are 0.000000772 revolutions in a second of arc, which is why we use this value in the formula above.
Our second of arc to revolution calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Arcseconds and revolutions are both units used to measure angle. Keep reading to learn more about each unit.
What Is a Second of Arc?
A second of arc is a unit of angle equal to 1/3,600 of a degree (0.000277778 °). 1/3600 of a degree. [1]
The second of arc is classified as a standard unit of angle. Arcseconds can be abbreviated as ″; for example, 1 second of arc can be written as 1 ″.
When working with arcseconds (″) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, arcseconds (″) are widely used across fine-tolerance laboratory, analytical, and micro-scale angle measurements within international standard workflows, engineering documentation, and technical data sheets.
What Is a Revolution?
A revolution is a unit of angle equal to 360 degrees (°), the base unit for angle. Complete 360° circle (2π radians). [2]
The revolution is classified as a standard unit of angle. Revolutions can be abbreviated as rev; for example, 1 revolution can be written as 1 rev.
When working with revolutions (rev) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, revolutions (rev) are widely used across standard angle applications within international standard workflows, engineering documentation, and technical data sheets.
When converting angle between arcseconds (″) and revolutions (rev), keep full floating-point precision (1 ″ = 0.000000772 rev; 1 rev = 1,296,000 ″) during intermediate calculations and round only the final revolution figure to match your instrument tolerance.
More Second of Arc & Revolution Conversions
Need to calculate in the opposite direction? Use our revolutions to arcseconds calculator to switch your starting unit immediately. You can also explore related tools such as converting revolutions to arcseconds, converting radians to revolutions, or converting degrees to radians.
Frequently Asked Questions
References
- [1]NIST CUU StandardNIST CUU (Non-SI Units Accepted for Use (deg, arcmin, arcsec))·Angle Metrology Standard — Arcseconds (″) to Revolutions (rev)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Second of Arc (″) & Revolution (Turn) (rev)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (″ to rev)