Milliradians to Revolutions Converter
Enter the angle in milliradians below to convert it to revolutions.
Result in Revolutions:
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How to Convert Milliradians to Revolutions
To convert a measurement in milliradians to a measurement in revolutions, multiply the angle by the following conversion ratio: 0.000159 revolutions/milliradian.
Since one milliradian is equal to 0.000159 revolutions, you can use this simple formula to convert:
revolutions = milliradians × 0.000159
The angle in revolutions is equal to the angle in milliradians multiplied by 0.000159.
For example, here's how to convert 5,000 milliradians to revolutions using the formula above.
revolutions = (5,000 mrad × 0.000159) = 0.795775 r
Milliradians and revolutions are both units used to measure angle. Keep reading to learn more about each unit of measure.
What Is a Milliradian?
A milliradian is equal to 1/1,000 of a radian. One milliradian is equal to 0.0573 degrees and there are 6,283 milliradians in a full revolution/circle. The milliradian is also a commonly used unit in mathematics.
The milliradian is a multiple of the radian, which is the SI derived unit for angle. In the metric system, "milli" is the prefix for thousandths, or 10-3. A milliradian is sometimes also referred to as a mil. Milliradians can be abbreviated as mrad; for example, 1 milliradian can be written as 1 mrad.
Learn more about milliradians.
What Is a Revolution?
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.
Learn more about revolutions.
Milliradian to Revolution Conversion Table
| Milliradians | Revolutions |
|---|---|
| 1 mrad | 0.000159 r |
| 2 mrad | 0.000318 r |
| 3 mrad | 0.000477 r |
| 4 mrad | 0.000637 r |
| 5 mrad | 0.000796 r |
| 6 mrad | 0.000955 r |
| 7 mrad | 0.001114 r |
| 8 mrad | 0.001273 r |
| 9 mrad | 0.001432 r |
| 10 mrad | 0.001592 r |
| 20 mrad | 0.003183 r |
| 30 mrad | 0.004775 r |
| 40 mrad | 0.006366 r |
| 50 mrad | 0.007958 r |
| 60 mrad | 0.009549 r |
| 70 mrad | 0.011141 r |
| 80 mrad | 0.012732 r |
| 90 mrad | 0.014324 r |
| 100 mrad | 0.015915 r |
| 200 mrad | 0.031831 r |
| 300 mrad | 0.047746 r |
| 400 mrad | 0.063662 r |
| 500 mrad | 0.079577 r |
| 600 mrad | 0.095493 r |
| 700 mrad | 0.111408 r |
| 800 mrad | 0.127324 r |
| 900 mrad | 0.143239 r |
| 1,000 mrad | 0.159155 r |
| 2,000 mrad | 0.31831 r |
| 3,000 mrad | 0.477465 r |
| 4,000 mrad | 0.63662 r |
| 5,000 mrad | 0.795775 r |
| 6,000 mrad | 0.95493 r |
| 7,000 mrad | 1.1141 r |
| 8,000 mrad | 1.2732 r |
| 9,000 mrad | 1.4324 r |
| 10,000 mrad | 1.5915 r |