How to use this Milli-radians to Turns Converter 🤔
Follow these steps to convert given Milli-radians value from Milli-radians units to Turns units.
Enter the input Milli-radians value in the text field.
The given Milli-radians is converted to Turns in realtime ⌚ using the formula, and displayed under the Turns label.
You may copy the resulting Turns value using the Copy button.
Formula
To convert given angle from Milli-radians to Turns, use the following formula.
Turns = Milli-radians / (2000 * π)
Calculation
Calculation will be done after you enter a valid input.
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 mrad
0 turn
1 mrad
0.00015915494turn
10 mrad
0.00159154943turn
45 mrad
0.00716197244turn
90 mrad
0.01432394488turn
180 mrad
0.02864788976turn
360 mrad
0.05729577951turn
1000 mrad
0.1592turn
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 2Ï€ 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.
{
"conversion": "milliradians-turns",
"x_slug": "milliradians",
"y_slug": "turns",
"x": "mrad",
"y": "turn",
"x_desc": "Milli-radians",
"y_desc": "Turns",
"category": "Angle",
"symbol": "m",
"formula": "x / (2000 * π)",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a sniper adjusts their scope by 2 milliradians for long-distance accuracy.<br>Convert this angle from milliradians to Turns.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in milli-radians is:</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 2</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from milli-radians to turns is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Turns)</sub></span> = <span>Angle<sub>(Milli-radians)</sub></span> / (2000 × Ï€)</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Milli-radians)</sub> = 2</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = <span>2</span> / (2000 × 3.14159265359)</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 0.00031830989</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 mrad</strong> is equal to <strong>0.00031830989 turn</strong>.</p>\n <p>The angle is <strong>0.00031830989 turn</strong>, in turns.</p>\n </div>\n <div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">2</span>\n <h3 class=\"question\">Consider that a military rangefinder uses 5 milliradians for precise targeting.<br>Convert this angle from milliradians to Turns.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in milli-radians is:</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 5</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from milli-radians to turns is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Turns)</sub></span> = <span>Angle<sub>(Milli-radians)</sub></span> / (2000 × Ï€)</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Milli-radians)</sub> = 5</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = <span>5</span> / (2000 × 3.14159265359)</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 0.00079577472</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>5 mrad</strong> is equal to <strong>0.00079577472 turn</strong>.</p>\n <p>The angle is <strong>0.00079577472 turn</strong>, in turns.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Milli-radians</span> to <span class=\"y\">Turns</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Milli-radians to Turns.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><th scope=\"column\" role=\"columnheader\">Turns (<span class=\"unit\">turn</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">mrad</span></td><td>0 <span class=\"unit\">turn</span></td></tr><tr><td>1 <span class=\"unit\">mrad</span></td><td>0<span>.00015915494</span> <span class=\"unit\">turn</span></td></tr><tr><td>10 <span class=\"unit\">mrad</span></td><td>0<span>.00159154943</span> <span class=\"unit\">turn</span></td></tr><tr><td>45 <span class=\"unit\">mrad</span></td><td>0<span>.00716197244</span> <span class=\"unit\">turn</span></td></tr><tr><td>90 <span class=\"unit\">mrad</span></td><td>0<span>.01432394488</span> <span class=\"unit\">turn</span></td></tr><tr><td>180 <span class=\"unit\">mrad</span></td><td>0<span>.02864788976</span> <span class=\"unit\">turn</span></td></tr><tr><td>360 <span class=\"unit\">mrad</span></td><td>0<span>.05729577951</span> <span class=\"unit\">turn</span></td></tr><tr><td>1000 <span class=\"unit\">mrad</span></td><td>0<span>.1592</span> <span class=\"unit\">turn</span></td></tr></table>",
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[
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"y_long_desc": "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 2Ï€ 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.",
"x_long_desc": "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."
}