Milli-radians to Turns Converter

Enter Milli-radians


Turns





⇅ Switch toTurns to Milli-radians Converter

How to use this Milli-radians to Turns Converter 🤔

Follow these steps to convert given angle from the units of Milli-radians to the units of Turns.

  1. Enter the input Milli-radians value in the text field.
  2. The calculator converts the given Milli-radians into Turns in realtime ⌚ using the conversion formula, and displays under the Turns label. You do not need to click any button. If the input changes, Turns value is re-calculated, just like that.
  3. You may copy the resulting Turns value using the Copy button.
  4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
  5. You can also reset the input by clicking on Reset button present below the input field.

What is the Formula to convert Milli-radians to Turns?

The formula to convert given angle from Milli-radians to Turns is:

Angle(Turns) = Angle(Milli-radians) / (2000 × π)

Substitute the given value of angle in milli-radians, i.e., Angle(Milli-radians) in the above formula and simplify the right-hand side value. The resulting value is the angle in turns, i.e., Angle(Turns).

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a sniper adjusts their scope by 2 milliradians for long-distance accuracy.
Convert this angle from milliradians to Turns.

Answer:

Given:

The angle in milli-radians is:

Angle(Milli-radians) = 2

Formula:

The formula to convert angle from milli-radians to turns is:

Angle(Turns) = Angle(Milli-radians) / (2000 × π)

Substitution:

Substitute given weight Angle(Milli-radians) = 2 in the above formula.

Angle(Turns) = 2 / (2000 × 3.14159265359)

Angle(Turns) = 0.00031830989

Final Answer:

Therefore, 2 mrad is equal to 0.00031830989 turn.

The angle is 0.00031830989 turn, in turns.

2

Consider that a military rangefinder uses 5 milliradians for precise targeting.
Convert this angle from milliradians to Turns.

Answer:

Given:

The angle in milli-radians is:

Angle(Milli-radians) = 5

Formula:

The formula to convert angle from milli-radians to turns is:

Angle(Turns) = Angle(Milli-radians) / (2000 × π)

Substitution:

Substitute given weight Angle(Milli-radians) = 5 in the above formula.

Angle(Turns) = 5 / (2000 × 3.14159265359)

Angle(Turns) = 0.00079577472

Final Answer:

Therefore, 5 mrad is equal to 0.00079577472 turn.

The angle is 0.00079577472 turn, in turns.

Milli-radians to Turns Conversion Table

The following table gives some of the most used conversions from Milli-radians to Turns.

Milli-radians (mrad)Turns (turn)
0 mrad0 turn
1 mrad0.00015915494 turn
10 mrad0.00159154943 turn
45 mrad0.00716197244 turn
90 mrad0.01432394488 turn
180 mrad0.02864788976 turn
360 mrad0.05729577951 turn
1000 mrad0.1592 turn

Milli-radians

Milli-radians (mrad) are a unit of angular measurement equal to one-thousandth of a radian. This small unit is used in fields such as ballistics, gunnery, and optics, where precise angular measurements are critical. Milli-radians allow for the calculation of minute angular displacements, distances, and target adjustments.

Turns

A turn, also known as a revolution or full circle, represents a complete rotation around a central point and is equal to 360 degrees or 2π radians. Turns are used in various disciplines, including engineering, navigation, and geometry, to describe full rotations. The concept of turns is deeply rooted in both mathematical theory and practical applications, such as in the design of gears and wheels.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Milli-radians to Turns in Angle?

2. Is this tool free or paid?

3. How do I convert Angle from Milli-radians to Turns?