Milliradians to Turns (mrad → tr)
Formula
1 mrad = 0.00015915494309189535 trConversion Table
| mrad | tr |
|---|---|
| 0 | 0 |
| 1.0000 | 0.00015915 |
| 2.0000 | 0.00031831 |
| 3.0000 | 0.00047746 |
| 4.0000 | 0.00063662 |
| 5.0000 | 0.00079577 |
| 6.0000 | 0.00095493 |
| 7.0000 | 0.0011141 |
| 8.0000 | 0.0012732 |
| 9.0000 | 0.0014324 |
| 10.000 | 0.0015915 |
| 11.000 | 0.0017507 |
| 12.000 | 0.0019099 |
| 13.000 | 0.0020690 |
| 14.000 | 0.0022282 |
| 15.000 | 0.0023873 |
| 16.000 | 0.0025465 |
| 17.000 | 0.0027056 |
| 18.000 | 0.0028648 |
| 19.000 | 0.0030239 |
| mrad | tr |
|---|---|
| 20.000 | 0.0031831 |
| 21.000 | 0.0033423 |
| 22.000 | 0.0035014 |
| 23.000 | 0.0036606 |
| 24.000 | 0.0038197 |
| 25.000 | 0.0039789 |
| 26.000 | 0.0041380 |
| 27.000 | 0.0042972 |
| 28.000 | 0.0044563 |
| 29.000 | 0.0046155 |
| 30.000 | 0.0047746 |
| 31.000 | 0.0049338 |
| 32.000 | 0.0050930 |
| 33.000 | 0.0052521 |
| 34.000 | 0.0054113 |
| 35.000 | 0.0055704 |
| 36.000 | 0.0057296 |
| 37.000 | 0.0058887 |
| 38.000 | 0.0060479 |
| 39.000 | 0.0062070 |
| mrad | tr |
|---|---|
| 40.000 | 0.0063662 |
| 41.000 | 0.0065254 |
| 42.000 | 0.0066845 |
| 43.000 | 0.0068437 |
| 44.000 | 0.0070028 |
| 45.000 | 0.0071620 |
| 46.000 | 0.0073211 |
| 47.000 | 0.0074803 |
| 48.000 | 0.0076394 |
| 49.000 | 0.0077986 |
| 50.000 | 0.0079577 |
| 51.000 | 0.0081169 |
| 52.000 | 0.0082761 |
| 53.000 | 0.0084352 |
| 54.000 | 0.0085944 |
| 55.000 | 0.0087535 |
| 56.000 | 0.0089127 |
| 57.000 | 0.0090718 |
| 58.000 | 0.0092310 |
| 59.000 | 0.0093901 |
| mrad | tr |
|---|---|
| 60.000 | 0.0095493 |
| 61.000 | 0.0097085 |
| 62.000 | 0.0098676 |
| 63.000 | 0.010027 |
| 64.000 | 0.010186 |
| 65.000 | 0.010345 |
| 66.000 | 0.010504 |
| 67.000 | 0.010663 |
| 68.000 | 0.010823 |
| 69.000 | 0.010982 |
| 70.000 | 0.011141 |
| 71.000 | 0.011300 |
| 72.000 | 0.011459 |
| 73.000 | 0.011618 |
| 74.000 | 0.011777 |
| 75.000 | 0.011937 |
| 76.000 | 0.012096 |
| 77.000 | 0.012255 |
| 78.000 | 0.012414 |
| 79.000 | 0.012573 |
Milliradians to Turns Conversion
Converting Milliradians (mrad) to Turns (tr) is a common angle conversion. 1 mrad equals 0.000159 tr. For example, 100 mrad is equal to 0.015915 tr.
Quick Mental Math: Milliradians to Turns
100 milliradians is about 0.01592 turns, so use that as a quick check.
Why is converting Milliradians to Turns tricky?
milliradians to turns hides a pi-based factor, so treating the step as a clean base-10 shift gives the wrong size.
Quick Reference Values
1 mrad = 0.000159 tr. 5 mrad = 0.000796 tr. 10 mrad = 0.001592 tr. 25 mrad = 0.003979 tr. 50 mrad = 0.007958 tr. 100 mrad = 0.015915 tr.
What is Milliradians?
Milliradians (mrad) is a unit of angle. The milliradian (mrad) is an angular measurement unit equal to one-thousandth of a radian. Since 1 radian equals approximately 57.2958 degrees, 1 mrad equals 0.0573 degrees. It is primarily used in ballistics, optics, and surveying for angular precision [bipm-si-brochure]. The radian was formally defined in the early 20th century as a standard SI unit of angle. The milliradian emerged as a practical subdivision for fine angular measurements, adopted by military and scientific communities for targeting and measurement accuracy [nist-si-guide]. Milliradians are standard in NATO countries' military aiming devices, European surveying, and optical instrumentation globally. The unit is recognized by BIPM as a derived SI unit for plane angle [bipm-si-brochure].
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: milli radian, millirad, miliradian, mradn, milirads, turnes, tourn, torn, turns. All of these refer to the Milliradians to Turns conversion.