How to use this Seconds to Milli-radians Converter 🤔
Follow these steps to convert given Seconds value from Seconds units to Milli-radians units.
Enter the input Seconds value in the text field.
The given Seconds 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 Seconds to Milli-radians, use the following formula.
Milli-radians = Seconds * π / 648
Calculation
Calculation will be done after you enter a valid input.
Seconds to Milli-radians Conversion Table
The following table gives some of the most used conversions from Seconds to Milli-radians.
Seconds (")
Milli-radians (mrad)
0 "
0 mrad
1 "
0.00484813681mrad
10 "
0.04848136811mrad
45 "
0.2182mrad
90 "
0.4363mrad
180 "
0.8727mrad
360 "
1.7453mrad
1000 "
4.8481mrad
Seconds
Seconds of arc, often simply called arcseconds, are a further subdivision of minutes of arc, with 60 seconds in one minute. This small unit is used for extremely precise angular measurements, such as those needed in astronomy, optics, and surveying, where even minute differences in angle can be significant.
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": "seconds-milliradians",
"x_slug": "seconds",
"y_slug": "milliradians",
"x": "\"",
"y": "mrad",
"x_desc": "Seconds",
"y_desc": "Milli-radians",
"category": "Angle",
"symbol": "m",
"formula": "x * π / 648",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a microscope's fine adjustment is set to 30 arc seconds for detailed observation.<br>Convert this angle from seconds to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in seconds is:</p>\n <p class=\"step\"><span>Angle<sub>(Seconds)</sub></span> = 30</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from seconds to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Seconds)</sub></span> × Ï€ / 648</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Seconds)</sub> = 30</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>30</span> × 3.14159265359 / 648</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 0.1454</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>30 \"</strong> is equal to <strong>0.1454 mrad</strong>.</p>\n <p>The angle is <strong>0.1454 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 telescope's alignment needs to be within 20 arc seconds for accurate tracking.<br>Convert this angle from seconds to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in seconds is:</p>\n <p class=\"step\"><span>Angle<sub>(Seconds)</sub></span> = 20</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from seconds to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Seconds)</sub></span> × Ï€ / 648</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Seconds)</sub> = 20</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>20</span> × 3.14159265359 / 648</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 0.09696273622</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>20 \"</strong> is equal to <strong>0.09696273622 mrad</strong>.</p>\n <p>The angle is <strong>0.09696273622 mrad</strong>, in milli-radians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Seconds</span> to <span class=\"y\">Milli-radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Seconds to Milli-radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Seconds (<span class=\"unit\">\"</span>)</th><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">\"</span></td><td>0 <span class=\"unit\">mrad</span></td></tr><tr><td>1 <span class=\"unit\">\"</span></td><td>0<span>.00484813681</span> <span class=\"unit\">mrad</span></td></tr><tr><td>10 <span class=\"unit\">\"</span></td><td>0<span>.04848136811</span> <span class=\"unit\">mrad</span></td></tr><tr><td>45 <span class=\"unit\">\"</span></td><td>0<span>.2182</span> <span class=\"unit\">mrad</span></td></tr><tr><td>90 <span class=\"unit\">\"</span></td><td>0<span>.4363</span> <span class=\"unit\">mrad</span></td></tr><tr><td>180 <span class=\"unit\">\"</span></td><td>0<span>.8727</span> <span class=\"unit\">mrad</span></td></tr><tr><td>360 <span class=\"unit\">\"</span></td><td>1<span>.7453</span> <span class=\"unit\">mrad</span></td></tr><tr><td>1000 <span class=\"unit\">\"</span></td><td>4<span>.8481</span> <span class=\"unit\">mrad</span></td></tr></table>",
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"x_long_desc": "Seconds of arc, often simply called arcseconds, are a further subdivision of minutes of arc, with 60 seconds in one minute. This small unit is used for extremely precise angular measurements, such as those needed in astronomy, optics, and surveying, where even minute differences in angle can be significant.",
"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."
}