Revolutions to Milliradians Converter

To convert a measurement in revolutions to milliradians, multiply the value by 6,283.1853. The conversion factor comes from the relationship between both units and the radian.

For example, to convert 5 rev to milliradians: 5 × 6,283.1853 = 31,415.9265 mrad.

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.

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.

Here are some common values converted:

1 rev = 6,283.1853 mrad 5 rev = 31,415.9265 mrad 10 rev = 62,831.8531 mrad 50 rev = 314,159.2654 mrad 100 rev = 628,318.5307 mrad