Convert turn to milliradian

Enter the value to convert from turn to milliradian.

From: tr
To: mrad
Result: 1 turn (tr) = 3141.5927 milliradians (mrad)

How to Convert Turn to Milliradian

Converting turn to milliradian is straightforward using our conversion calculator.

Conversion Formula

mrad = tr × 3141.5927

Reverse conversion: Convert milliradian to turn

Comparison: Turn vs Milliradian

When to Use Each Unit

Turn: Used for describing rotational speed, mechanical rotations, and complete angular motions in engineering.

Milliradian: Standard in military applications, ballistics, optical instruments, and precision angular measurements.

Common Conversion Values

  • 1 turn = 360°
  • 1 turn = 2π rad
  • 1 turn = 400 gon
  • 0.5 turn = 180°

About Turn

Definition: The turn (symbol: tr) represents one complete rotation or revolution, equal to 360 degrees or 2π radians.

History: Natural unit representing complete rotational motion, used in mechanical systems and rotational applications.

Current Use: Used for describing rotational speed, mechanical rotations, and complete angular motions in engineering.

Examples: Motor rotations: RPM (revolutions per minute), mechanical systems: gear ratios, astronomy: planetary rotations

About Milliradian

Definition: The milliradian (symbol: mrad) is one thousandth of a radian, approximately 0.0573 degrees, used in military and precision applications.

History: Developed for military rangefinding and ballistics where small angular measurements correspond to target distances.

Current Use: Standard in military applications, ballistics, optical instruments, and precision angular measurements.

Examples: Military scopes: target ranging, artillery: firing solutions, surveying: precise measurements, optics: angular resolution

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