How to convert milliradians to revolutions
To convert a measurement in milliradians to revolutions, multiply the value by 0.000159154943. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 mrad to revolutions: 5 × 0.000159154943 = 0.000795774715 rev.
What is a milliradian?
A milliradian is one thousandth of a radian. At a distance of 1,000 units it subtends almost exactly 1 unit, which makes it convenient for range and angle estimation. The milliradian became widely used in the military for artillery and rifle sighting because of its clean relationship between angle and distance. Riflescopes commonly use 'mil' adjustments and reticles based on it.
Common uses of milliradians include: Rifle and artillery sighting (mil-dot reticles); Range estimation from known target size; Laser divergence and beam-spread specifications; Precision optics and alignment.
What is a revolution?
A revolution (also called a turn or full circle) is one complete rotation, equal to 360 degrees or 2π radians. The revolution is the most intuitive angular unit — one full spin. It is the natural way to count rotations in machinery, and forms the basis of rotational-speed units such as revolutions per minute (RPM).
Common uses of revolutions include: Engine and motor speed (RPM); Counting rotations of wheels, gears, and turbines; Vinyl record and hard-drive spin rates; Describing full turns in everyday language.
Milliradians to revolutions worked examples
Here are some common values converted:
1 mrad = 0.000159154943 rev 5 mrad = 0.000795774715 rev 10 mrad = 0.001591549431 rev 50 mrad = 0.007957747155 rev 100 mrad = 0.015915494309 rev
Frequently asked questions
How many revolutions are in one milliradian?
One milliradian (mrad) equals 0.000159154943 revolutions (rev). Multiply any value in milliradians by 0.000159154943 to convert to revolutions.
How do I convert milliradians to revolutions?
Multiply the value in milliradians by 0.000159154943. For example, 5 mrad × 0.000159154943 = 0.000795774715 rev.
How do I convert revolutions to milliradians?
Multiply the value in revolutions by 6,283.1853, or divide by 0.000159154943. Use the swap button on the converter above to reverse the direction.
Is the milliradian to revolution conversion exact?
Angle conversions are exact. Degrees, gradians and revolutions are defined as exact fractions of a full turn (2π radians).
What is the formula for milliradians to revolutions?
The formula is: rev = mrad × 0.000159154943. This comes from the definition of both units relative to the radian.