Milliradians to Revolutions Converter

Convert angle measurements from milliradians (mrad) to revolutions (rev). 1 milliradian equals approximately 0.000159155 revolutions.

milliradians (mrad)
Result
0 rev

Common Milliradians to Revolutions Conversions

Milliradians (mrad)Revolutions (rev)
100 mrad0.0159155 rev
500 mrad0.0795775 rev
1,000 mrad0.159155 rev
3,141.59 mrad (pi rad)0.5 rev
6,283.19 mrad (2pi rad)1 rev
10,000 mrad1.59155 rev

How to Convert Milliradians to Revolutions

A revolution is a full 360-degree rotation (2pi radians). To convert milliradians to revolutions, divide by 2000pi, which equals approximately 6283.19.

The Conversion Formula

revolutions = milliradians / (2000 x pi) = milliradians x 0.000159155

Example: Converting 6283.19 Milliradians to Revolutions

revolutions = 6283.19 mrad / 6283.19 = 1 rev

Understanding the Relationship

Since 1 revolution = 2pi radians = 2000pi milliradians, we divide milliradians by 2000pi to get revolutions. This conversion is commonly used in rotational mechanics and motor control applications.