How to use this Diameter Parts to Milli-radians Converter 🤔
Follow these steps to convert given angle from the units of Diameter Parts to the units of Milli-radians.
Enter the input Diameter Parts value in the text field.
The calculator converts the given Diameter Parts into Milli-radians in realtime ⌚ using the conversion formula, and displays under the Milli-radians label. You do not need to click any button. If the input changes, Milli-radians value is re-calculated, just like that.
You may copy the resulting Milli-radians 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 Diameter Parts to Milli-radians?
The formula to convert given angle from Diameter Parts to Milli-radians is:
Substitute the given value of angle in diameter parts, i.e., Angle(Diameter Parts) in the above formula and simplify the right-hand side value. The resulting value is the angle in milli-radians, i.e., Angle(Milli-radians).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a mechanical watch's gear rotates by 12 diameter parts. Convert this rotation from diameter parts to Milli-radians.
Answer:
Given:
The angle in diameter parts is:
Angle(Diameter Parts) = 12
Formula:
The formula to convert angle from diameter parts to milli-radians is:
Therefore, 16 diameter part is equal to 266.6668 mrad.
The angle is 266.6668 mrad, in milli-radians.
Diameter Parts to Milli-radians Conversion Table
The following table gives some of the most used conversions from Diameter Parts to Milli-radians.
Diameter Parts (diameter part)
Milli-radians (mrad)
0 diameter part
0 mrad
1 diameter part
16.6667mrad
10 diameter part
166.6667mrad
45 diameter part
750.0002mrad
90 diameter part
1500.0005mrad
180 diameter part
3000.0009mrad
360 diameter part
6000.0019mrad
1000 diameter part
16666.6719mrad
Diameter Parts
Diameter parts are a less common unit of angular measurement, historically used to describe angles in terms of the fractional parts of a circle's diameter. This unit was more prevalent in classical geometry and certain types of mechanical design, where direct relationships between linear measurements and angles were essential.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Diameter Parts to Milli-radians in Angle?
The formula to convert Diameter Parts to Milli-radians in Angle is:
Diameter Parts * 2000 * π / 376.991
2. Is this tool free or paid?
This Angle conversion tool, which converts Diameter Parts to Milli-radians, is completely free to use.
3. How do I convert Angle from Diameter Parts to Milli-radians?
To convert Angle from Diameter Parts to Milli-radians, you can use the following formula:
Diameter Parts * 2000 * π / 376.991
For example, if you have a value in Diameter Parts, you substitute that value in place of Diameter Parts in the above formula, and solve the mathematical expression to get the equivalent value in Milli-radians.
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"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a mechanical watch's gear rotates by 12 diameter parts.<br>Convert this rotation from diameter parts to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in diameter parts is:</p>\n <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span> = 12</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from diameter parts to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Diameter Parts)</sub></span> × 2000 × π / 376.991</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Diameter Parts)</sub> = 12</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>12</span> × 2000 × 3.14159265359 / 376.991</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 200.0001</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>12 diameter part</strong> is equal to <strong>200.0001 mrad</strong>.</p>\n <p>The angle is <strong>200.0001 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 precision tool rotates by 16 diameter parts for accurate measurements.<br>Convert this rotation from diameter parts to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in diameter parts is:</p>\n <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span> = 16</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from diameter parts to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Diameter Parts)</sub></span> × 2000 × π / 376.991</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Diameter Parts)</sub> = 16</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>16</span> × 2000 × 3.14159265359 / 376.991</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 266.6668</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>16 diameter part</strong> is equal to <strong>266.6668 mrad</strong>.</p>\n <p>The angle is <strong>266.6668 mrad</strong>, in milli-radians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Diameter Parts</span> to <span class=\"y\">Milli-radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Diameter Parts to Milli-radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Diameter Parts (<span class=\"unit\">diameter part</span>)</th><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">diameter part</span></td><td>0 <span class=\"unit\">mrad</span></td></tr><tr><td>1 <span class=\"unit\">diameter part</span></td><td>16<span>.6667</span> <span class=\"unit\">mrad</span></td></tr><tr><td>10 <span class=\"unit\">diameter part</span></td><td>166<span>.6667</span> <span class=\"unit\">mrad</span></td></tr><tr><td>45 <span class=\"unit\">diameter part</span></td><td>750<span>.0002</span> <span class=\"unit\">mrad</span></td></tr><tr><td>90 <span class=\"unit\">diameter part</span></td><td>1500<span>.0005</span> <span class=\"unit\">mrad</span></td></tr><tr><td>180 <span class=\"unit\">diameter part</span></td><td>3000<span>.0009</span> <span class=\"unit\">mrad</span></td></tr><tr><td>360 <span class=\"unit\">diameter part</span></td><td>6000<span>.0019</span> <span class=\"unit\">mrad</span></td></tr><tr><td>1000 <span class=\"unit\">diameter part</span></td><td>16666<span>.6719</span> <span class=\"unit\">mrad</span></td></tr></table>",
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