Radians to Seconds Converter
⇅ Switch toSeconds to Radians ConverterHow to use this Radians to Seconds Converter 🤔
Follow these steps to convert given angle from the units of Radians to the units of Seconds.
- Enter the input Radians value in the text field.
- The calculator converts the given Radians into Seconds in realtime ⌚ using the conversion formula, and displays under the Seconds label. You do not need to click any button. If the input changes, Seconds value is re-calculated, just like that.
- You may copy the resulting Seconds 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.
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a robotic arm rotates by 1.5 radians to position an object accurately.
Convert this angle from radians to Seconds.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 1.5
Formula:
The formula to convert angle from radians to seconds is:
Angle(Seconds) = Angle(Radians) × 648000 / π
Substitution:
Substitute given weight Angle(Radians) = 1.5 in the above formula.
Angle(Seconds) = 1.5 × 648000 / 3.14159265359
Angle(Seconds) = 309397.2094
Final Answer:
Therefore, 1.5 rad is equal to 309397.2094 ".
The angle is 309397.2094 ", in seconds.
2
Consider that a satellite dish adjusts by 0.75 radians to align with a signal.
Convert this angle from radians to Seconds.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 0.75
Formula:
The formula to convert angle from radians to seconds is:
Angle(Seconds) = Angle(Radians) × 648000 / π
Substitution:
Substitute given weight Angle(Radians) = 0.75 in the above formula.
Angle(Seconds) = 0.75 × 648000 / 3.14159265359
Angle(Seconds) = 154698.6047
Final Answer:
Therefore, 0.75 rad is equal to 154698.6047 ".
The angle is 154698.6047 ", in seconds.
Radians to Seconds Conversion Table
The following table gives some of the most used conversions from Radians to Seconds.
| Radians (rad) | Seconds (") |
|---|
|
| 0 rad | 0 " |
| 1 rad | 206264.8062 " |
| 10 rad | 2062648.0625 " |
| 45 rad | 9281916.2811 " |
| 90 rad | 18563832.5622 " |
| 180 rad | 37127665.1245 " |
| 360 rad | 74255330.249 " |
| 1000 rad | 206264806.2471 " |
Radians
Radians are a fundamental unit of angular measurement in the International System of Units (SI). One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians are essential in mathematics and physics, particularly in calculus and trigonometry, where they simplify equations and allow for the natural expression of rotational and periodic phenomena.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Radians to Seconds in Angle?
The formula to convert Radians to Seconds in Angle is:
Radians * 648000 / π
2. Is this tool free or paid?
This Angle conversion tool, which converts Radians to Seconds, is completely free to use.
3. How do I convert Angle from Radians to Seconds?
To convert Angle from Radians to Seconds, you can use the following formula:
Radians * 648000 / π
For example, if you have a value in Radians, you substitute that value in place of Radians in the above formula, and solve the mathematical expression to get the equivalent value in Seconds.
{
"conversion": "radians-seconds",
"x_slug": "radians",
"y_slug": "seconds",
"x": "rad",
"y": "\"",
"x_desc": "Radians",
"y_desc": "Seconds",
"category": "Angle",
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"formula": "x * 648000 / π",
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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 robotic arm rotates by 1.5 radians to position an object accurately.<br>Convert this angle from radians to Seconds.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in radians is:</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 1.5</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from radians to seconds is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Seconds)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 648000 / π</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Radians)</sub> = 1.5</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Seconds)</sub></span> = <span>1.5</span> × 648000 / 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Seconds)</sub></span> = 309397.2094</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>1.5 rad</strong> is equal to <strong>309397.2094 \"</strong>.</p>\n <p>The angle is <strong>309397.2094 \"</strong>, in seconds.</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 satellite dish adjusts by 0.75 radians to align with a signal.<br>Convert this angle from radians to Seconds.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in radians is:</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 0.75</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from radians to seconds is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Seconds)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 648000 / π</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Radians)</sub> = 0.75</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Seconds)</sub></span> = <span>0.75</span> × 648000 / 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Seconds)</sub></span> = 154698.6047</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.75 rad</strong> is equal to <strong>154698.6047 \"</strong>.</p>\n <p>The angle is <strong>154698.6047 \"</strong>, in seconds.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Radians</span> to <span class=\"y\">Seconds</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Radians to Seconds.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><th scope=\"column\" role=\"columnheader\">Seconds (<span class=\"unit\">\"</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">rad</span></td><td>0 <span class=\"unit\">\"</span></td></tr><tr><td>1 <span class=\"unit\">rad</span></td><td>206264<span>.8062</span> <span class=\"unit\">\"</span></td></tr><tr><td>10 <span class=\"unit\">rad</span></td><td>2062648<span>.0625</span> <span class=\"unit\">\"</span></td></tr><tr><td>45 <span class=\"unit\">rad</span></td><td>9281916<span>.2811</span> <span class=\"unit\">\"</span></td></tr><tr><td>90 <span class=\"unit\">rad</span></td><td>18563832<span>.5622</span> <span class=\"unit\">\"</span></td></tr><tr><td>180 <span class=\"unit\">rad</span></td><td>37127665<span>.1245</span> <span class=\"unit\">\"</span></td></tr><tr><td>360 <span class=\"unit\">rad</span></td><td>74255330<span>.249</span> <span class=\"unit\">\"</span></td></tr><tr><td>1000 <span class=\"unit\">rad</span></td><td>206264806<span>.2471</span> <span class=\"unit\">\"</span></td></tr></table>",
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