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.
Enter the input Milli-radians value in the text field.
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.
You may copy the resulting Turns value using the Copy button.
To view a detailed step by step calculation of the conversion, click on the View Calculation button.
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 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 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?
The formula to convert Milli-radians to Turns in Angle is:
Milli-radians / (2000 * π)
2. Is this tool free or paid?
This Angle conversion tool, which converts Milli-radians to Turns, is completely free to use.
3. How do I convert Angle from Milli-radians to Turns?
To convert Angle from Milli-radians to Turns, you can use the following formula:
Milli-radians / (2000 * π)
For example, if you have a value in Milli-radians, you substitute that value in place of Milli-radians in the above formula, and solve the mathematical expression to get the equivalent value in Turns.
{
"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 × π)</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 × π)</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 ",
"structured_data_1": "\n<script type=\"application/ld+json\">\n{\n \"@context\": \"https://schema.org\",\n \"@type\": \"WebApplication\",\n \"name\": \"Milli-radians to Turns Unit Converter\",\n \"url\": \"https://convertonline.org/unit/?convert=kg-gram\",\n \"applicationCategory\": \"Utility\",\n \"operatingSystem\": \"All\",\n \"description\": \"Convert Milli-radians (mrad) to Turns (turn) using this online Angle unit converter. Conversion formula, real life examples, conversion tables, etc.\",\n \"softwareVersion\": \"1.0\",\n \"offers\": {\n \"@type\": \"Offer\",\n \"price\": \"0.00\",\n \"priceCurrency\": \"USD\"\n },\n \"creator\": {\n \"@type\": \"Organization\",\n \"name\": \"ConvertOnline\",\n \"url\": \"https://convertonline.org\"\n },\n \"featureList\": [\n \"Convert Milli-radians to Turns\",\n \"Instant conversion results\",\n \"Free to use\"\n ],\n \"keywords\": \"mrad to turn, Milli-radians to Turns converter, unit conversion, Angle conversion\"\n}\n</script>\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>",
"units": [
[
"degrees",
"Degrees",
"°"
],
[
"radians",
"Radians",
"rad"
],
[
"gradians",
"Gradians",
"gon"
],
[
"minutes",
"Minutes",
"'"
],
[
"seconds",
"Seconds",
"\""
],
[
"turns",
"Turns",
"turn"
],
[
"circles",
"Circles",
"circle"
],
[
"binary_degrees",
"Binary Degrees",
"°"
],
[
"compass_points",
"Compass Points",
"compass point"
],
[
"diameter_part",
"Diameter Parts",
"diameter part"
],
[
"hexacontades",
"Hexa-Contades",
"hexacontade"
],
[
"hour_angles",
"Hour Angles",
"hour angle"
],
[
"right_angles",
"Right Angles",
"right angle"
],
[
"milliradians",
"Milli-radians",
"mrad"
],
[
"quadrants",
"Quadrants",
"quadrant"
],
[
"sextants",
"Sextants",
"sextant"
],
[
"pi_radians",
"π Radians",
"π radians"
],
[
"zam",
"Zam",
"zam"
]
],
"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 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.",
"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."
}
ConvertOnline