How to use this Turns to Milli-radians Converter 🤔
Follow these steps to convert given Turns value from Turns units to Milli-radians units.
Enter the input Turns value in the text field.
The given Turns is converted to Milli-radians in realtime ⌚ using the formula, and displayed under the Milli-radians label.
You may copy the resulting Milli-radians value using the Copy button.
Formula
To convert given angle from Turns to Milli-radians, use the following formula.
Milli-radians = Turns * 2000 * π
Calculation
Calculation will be done after you enter a valid input.
Turns to Milli-radians Conversion Table
The following table gives some of the most used conversions from Turns to Milli-radians.
Turns (turn)
Milli-radians (mrad)
0 turn
0 mrad
1 turn
6283.1853mrad
10 turn
62831.8531mrad
45 turn
282743.3388mrad
90 turn
565486.6776mrad
180 turn
1130973.3553mrad
360 turn
2261946.7106mrad
1000 turn
6283185.3072mrad
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.
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.
{
"conversion": "turns-milliradians",
"x_slug": "turns",
"y_slug": "milliradians",
"x": "turn",
"y": "mrad",
"x_desc": "Turns",
"y_desc": "Milli-radians",
"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 turntable rotates by 0.25 turns to play a vinyl record.<br>Convert this rotation from turns to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in turns is:</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 0.25</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from turns to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Turns)</sub></span> × 2000 × Ï€</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Turns)</sub> = 0.25</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>0.25</span> × 2000 × 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 1570.7963</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.25 turn</strong> is equal to <strong>1570.7963 mrad</strong>.</p>\n <p>The angle is <strong>1570.7963 mrad</strong>, in milli-radians.</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 wind turbine completes 2 turns in a light breeze.<br>Convert this rotation from turns to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in turns is:</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 2</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from turns to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Turns)</sub></span> × 2000 × Ï€</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Turns)</sub> = 2</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>2</span> × 2000 × 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 12566.3706</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 turn</strong> is equal to <strong>12566.3706 mrad</strong>.</p>\n <p>The angle is <strong>12566.3706 mrad</strong>, in milli-radians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Turns</span> to <span class=\"y\">Milli-radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Turns to Milli-radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Turns (<span class=\"unit\">turn</span>)</th><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">turn</span></td><td>0 <span class=\"unit\">mrad</span></td></tr><tr><td>1 <span class=\"unit\">turn</span></td><td>6283<span>.1853</span> <span class=\"unit\">mrad</span></td></tr><tr><td>10 <span class=\"unit\">turn</span></td><td>62831<span>.8531</span> <span class=\"unit\">mrad</span></td></tr><tr><td>45 <span class=\"unit\">turn</span></td><td>282743<span>.3388</span> <span class=\"unit\">mrad</span></td></tr><tr><td>90 <span class=\"unit\">turn</span></td><td>565486<span>.6776</span> <span class=\"unit\">mrad</span></td></tr><tr><td>180 <span class=\"unit\">turn</span></td><td>1130973<span>.3553</span> <span class=\"unit\">mrad</span></td></tr><tr><td>360 <span class=\"unit\">turn</span></td><td>2261946<span>.7106</span> <span class=\"unit\">mrad</span></td></tr><tr><td>1000 <span class=\"unit\">turn</span></td><td>6283185<span>.3072</span> <span class=\"unit\">mrad</span></td></tr></table>",
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"Hour Angles",
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[
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[
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"x_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.",
"y_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."
}
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