Arcseconds to Turns (″ → tr)
Formula
1 ″ = 7.716049382716049e-7 trConversion Table
| ″ | tr |
|---|---|
| 0 | 0 |
| 1.0000 | 0.00000077160 |
| 2.0000 | 0.0000015432 |
| 3.0000 | 0.0000023148 |
| 4.0000 | 0.0000030864 |
| 5.0000 | 0.0000038580 |
| 6.0000 | 0.0000046296 |
| 7.0000 | 0.0000054012 |
| 8.0000 | 0.0000061728 |
| 9.0000 | 0.0000069444 |
| 10.000 | 0.0000077160 |
| 11.000 | 0.0000084877 |
| 12.000 | 0.0000092593 |
| 13.000 | 0.000010031 |
| 14.000 | 0.000010802 |
| 15.000 | 0.000011574 |
| 16.000 | 0.000012346 |
| 17.000 | 0.000013117 |
| 18.000 | 0.000013889 |
| 19.000 | 0.000014660 |
| ″ | tr |
|---|---|
| 20.000 | 0.000015432 |
| 21.000 | 0.000016204 |
| 22.000 | 0.000016975 |
| 23.000 | 0.000017747 |
| 24.000 | 0.000018519 |
| 25.000 | 0.000019290 |
| 26.000 | 0.000020062 |
| 27.000 | 0.000020833 |
| 28.000 | 0.000021605 |
| 29.000 | 0.000022377 |
| 30.000 | 0.000023148 |
| 31.000 | 0.000023920 |
| 32.000 | 0.000024691 |
| 33.000 | 0.000025463 |
| 34.000 | 0.000026235 |
| 35.000 | 0.000027006 |
| 36.000 | 0.000027778 |
| 37.000 | 0.000028549 |
| 38.000 | 0.000029321 |
| 39.000 | 0.000030093 |
| ″ | tr |
|---|---|
| 40.000 | 0.000030864 |
| 41.000 | 0.000031636 |
| 42.000 | 0.000032407 |
| 43.000 | 0.000033179 |
| 44.000 | 0.000033951 |
| 45.000 | 0.000034722 |
| 46.000 | 0.000035494 |
| 47.000 | 0.000036265 |
| 48.000 | 0.000037037 |
| 49.000 | 0.000037809 |
| 50.000 | 0.000038580 |
| 51.000 | 0.000039352 |
| 52.000 | 0.000040123 |
| 53.000 | 0.000040895 |
| 54.000 | 0.000041667 |
| 55.000 | 0.000042438 |
| 56.000 | 0.000043210 |
| 57.000 | 0.000043981 |
| 58.000 | 0.000044753 |
| 59.000 | 0.000045525 |
| ″ | tr |
|---|---|
| 60.000 | 0.000046296 |
| 61.000 | 0.000047068 |
| 62.000 | 0.000047840 |
| 63.000 | 0.000048611 |
| 64.000 | 0.000049383 |
| 65.000 | 0.000050154 |
| 66.000 | 0.000050926 |
| 67.000 | 0.000051698 |
| 68.000 | 0.000052469 |
| 69.000 | 0.000053241 |
| 70.000 | 0.000054012 |
| 71.000 | 0.000054784 |
| 72.000 | 0.000055556 |
| 73.000 | 0.000056327 |
| 74.000 | 0.000057099 |
| 75.000 | 0.000057870 |
| 76.000 | 0.000058642 |
| 77.000 | 0.000059414 |
| 78.000 | 0.000060185 |
| 79.000 | 0.000060957 |
Arcseconds to Turns Conversion
Converting Arcseconds (″) to Turns (tr) is a common angle conversion. 1 ″ equals 0.000001 tr. For example, 100 ″ is equal to 0.000077 tr.
Quick Mental Math: Arcseconds to Turns
1296000 arcseconds is 1 turn, so scale from that anchor.
Why is converting Arcseconds to Turns tricky?
arcseconds and turns split one full turn into different counts, so people often flip the ratio and divide when they should multiply.
Quick Reference Values
1 ″ = 0.000001 tr. 5 ″ = 0.000004 tr. 10 ″ = 0.000008 tr. 25 ″ = 0.000019 tr. 50 ″ = 0.000039 tr. 100 ″ = 0.000077 tr.
What is Arcseconds?
Arcseconds (″) is a unit of angle. An arcsecond is 1/60 of an arcminute or 1/3600 of one degree. This unit represents 1/1,296,000 of a full circle and is used for very precise angular measurements in astronomy and optics [iso-80000]. One arcsecond equals exactly 1/60 of an arcminute. Divisions of degrees into arcseconds originated from the sexagesimal system used by ancient astronomers and were standardized by international bodies for use in precise angular measurements [iso-80000]. Arcseconds are critical in astronomical observations for locating stars and planets with precision. Surveying and satellite navigation systems also rely on arcseconds globally [nist-si-guide].
What is Turns?
Turns (tr) is a unit of angle. A turn represents one complete rotation or revolution around a circle, equivalent to 360 degrees or 2π radians. It defines an angle of exactly 1 turn = 2π radians, or about 6.28318 radians, aligning with ISO 80000 standards. This unit is used in fields requiring angular measurement, such as engineering and physics [iso-80000]. The concept of a turn as a full circle has existed since ancient mathematics, but formal standardization as a unit of angle was recognized in the 20th century through ISO standards to unify angular measurement [iso-80000]. Turns are used internationally in engineering, robotics, and navigation for expressing rotational movement. It is recognized by ISO and adopted in scientific contexts worldwide [iso-80000].
Common Misspellings
People often search for this conversion using these alternate spellings: arc second, arc sec, arcsec, arseconds, turnes, tourn, torn, turns. All of these refer to the Arcseconds to Turns conversion.