Skip to content
trustedonlinetools

Milliradians to Revolutions Converter

Convert milliradians to revolutions instantly. 1 mrad = 0.000159154943 rev. Enter any value and get an accurate result with a reference table for common conversions.

Milliradians to Revolutions conversion table

Milliradians (mrad)Revolutions (rev)
1 mrad0.000159154943 rev
2 mrad0.000318309886 rev
3 mrad0.000477464829 rev
5 mrad0.000795774715 rev
10 mrad0.001591549431 rev
15 mrad0.002387324146 rev
20 mrad0.003183098862 rev
25 mrad0.003978873577 rev
50 mrad0.007957747155 rev
100 mrad0.015915494309 rev
500 mrad0.079577471546 rev
1,000 mrad0.159154943092 rev

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.