Convert Seconds Of Arc to Revolutions

Enter the angle in seconds of arc below to get the value converted to revolutions.

SWAP UNITS
Results in Revolutions:
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1 arcsec = 7.716E-7 r

How to Convert Seconds Of Arc to Revolutions

Protractors are often used to measure angle

To convert a second of arc measurement to a revolution measurement, multiply the angle by the conversion ratio. One second of arc is equal to 7.716E-7 revolutions, so use this simple formula to convert:

revolutions = seconds of arc × 7.716E-7

The angle in revolutions is equal to the seconds of arc multiplied by 7.716E-7.

For example, here's how to convert 5 seconds of arc to revolutions using the formula above.
5" = (5 × 7.716E-7) = 3.858E-6 r

Seconds of arc and revolutions are both units used to measure angle. Keep reading to learn more about each unit of measure.

Seconds Of Arc

The second of arc is a unit of angle equal to 1/60th of one minute of arc or 1/3,600 of one degree.

A second of arc is sometimes also referred to as an arc second or arcsecond. Seconds of arc can be abbreviated as arcsec, and are also sometimes abbreviated as asec. For example, 1 second of arc can be written as 1 arcsec or 1 asec.

The second of arc is most commonly expressed using a double prime (″), though a double quote is often used as well. For example, 1 second of arc is most often written as 1″.

Revolutions

A revolution, or turn, is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute (RPM) of a vehicle's engine.

A revolution is sometimes also referred to as a turn, cycle, or complete rotation. Revolutions can be abbreviated as r, and are also sometimes abbreviated as rev or cyc. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.

Second Of Arc Measurements and Equivalent Revolution Conversions

Common second of arc values converted to the equivalent revolution value
Seconds Of Arc Revolutions
1" 0.0000007716 r
2" 0.0000015432 r
3" 0.0000023148 r
4" 0.0000030864 r
5" 0.000003858 r
6" 0.0000046296 r
7" 0.0000054012 r
8" 0.0000061728 r
9" 0.0000069444 r
10" 0.000007716 r
11" 0.0000084877 r
12" 0.0000092593 r
13" 0.000010031 r
14" 0.000010802 r
15" 0.000011574 r
16" 0.000012346 r
17" 0.000013117 r
18" 0.000013889 r
19" 0.00001466 r
20" 0.000015432 r
21" 0.000016204 r
22" 0.000016975 r
23" 0.000017747 r
24" 0.000018519 r
25" 0.00001929 r
26" 0.000020062 r
27" 0.000020833 r
28" 0.000021605 r
29" 0.000022377 r
30" 0.000023148 r
31" 0.00002392 r
32" 0.000024691 r
33" 0.000025463 r
34" 0.000026235 r
35" 0.000027006 r
36" 0.000027778 r
37" 0.000028549 r
38" 0.000029321 r
39" 0.000030093 r
40" 0.000030864 r

More Second Of Arc Angle Conversions

Convert to Radians
1" is equal to 4.8481E-6 radians
Convert to Milliradians
1" is equal to 0.004848 milliradians
Convert to Degrees
1" is equal to 0.000278 degrees
Convert to Minutes Of Arc
1" is equal to 0.016667 minutes of arc
Convert to Gradians
1" is equal to 0.000309 gradians
Convert to Circles
1" is equal to 7.716E-7 circles
Convert to Mils (NATO)
1" is equal to 0.004938 mils (NATO)