How to use this Radians to Diameter Parts Converter 🤔
Follow these steps to convert given angle from the units of Radians to the units of Diameter Parts.
Enter the input Radians value in the text field.
The calculator converts the given Radians into Diameter Parts in realtime ⌚ using the conversion formula, and displays under the Diameter Parts label. You do not need to click any button. If the input changes, Diameter Parts value is re-calculated, just like that.
You may copy the resulting Diameter Parts 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 Radians to Diameter Parts?
The formula to convert given angle from Radians to Diameter Parts is:
Substitute the given value of angle in radians, i.e., Angle(Radians) in the above formula and simplify the right-hand side value. The resulting value is the angle in diameter parts, i.e., Angle(Diameter Parts).
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 Diameter Parts.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 1.5
Formula:
The formula to convert angle from radians to diameter parts is:
The following table gives some of the most used conversions from Radians to Diameter Parts.
Radians (rad)
Diameter Parts (diameter part)
0 rad
0 diameter part
1 rad
60 diameter part
10 rad
599.9998diameter part
45 rad
2699.9992diameter part
90 rad
5399.9983diameter part
180 rad
10799.9966diameter part
360 rad
21599.9932diameter part
1000 rad
59999.9812diameter part
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.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Radians to Diameter Parts in Angle?
The formula to convert Radians to Diameter Parts in Angle is:
Radians * 376.991 / (2 * π)
2. Is this tool free or paid?
This Angle conversion tool, which converts Radians to Diameter Parts, is completely free to use.
3. How do I convert Angle from Radians to Diameter Parts?
To convert Angle from Radians to Diameter Parts, you can use the following formula:
Radians * 376.991 / (2 * 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 Diameter Parts.
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"y": "diameter part",
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"y_desc": "Diameter Parts",
"category": "Angle",
"symbol": "m",
"formula": "x * 376.991 / (2 * 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 Diameter Parts.</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 diameter parts is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Diameter Parts)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 376.991 / (2 × 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>(Diameter Parts)</sub></span> = <span>1.5</span> × 376.991 / (2 × 3.14159265359)</p>\n <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span> = 90</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>1.5 rad</strong> is equal to <strong>90 diameter part</strong>.</p>\n <p>The angle is <strong>90 diameter part</strong>, in diameter parts.</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 Diameter Parts.</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 diameter parts is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Diameter Parts)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 376.991 / (2 × 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>(Diameter Parts)</sub></span> = <span>0.75</span> × 376.991 / (2 × 3.14159265359)</p>\n <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span> = 45</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.75 rad</strong> is equal to <strong>45 diameter part</strong>.</p>\n <p>The angle is <strong>45 diameter part</strong>, in diameter parts.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Radians</span> to <span class=\"y\">Diameter Parts</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Radians to Diameter Parts.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><th scope=\"column\" role=\"columnheader\">Diameter Parts (<span class=\"unit\">diameter part</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">rad</span></td><td>0 <span class=\"unit\">diameter part</span></td></tr><tr><td>1 <span class=\"unit\">rad</span></td><td>60 <span class=\"unit\">diameter part</span></td></tr><tr><td>10 <span class=\"unit\">rad</span></td><td>599<span>.9998</span> <span class=\"unit\">diameter part</span></td></tr><tr><td>45 <span class=\"unit\">rad</span></td><td>2699<span>.9992</span> <span class=\"unit\">diameter part</span></td></tr><tr><td>90 <span class=\"unit\">rad</span></td><td>5399<span>.9983</span> <span class=\"unit\">diameter part</span></td></tr><tr><td>180 <span class=\"unit\">rad</span></td><td>10799<span>.9966</span> <span class=\"unit\">diameter part</span></td></tr><tr><td>360 <span class=\"unit\">rad</span></td><td>21599<span>.9932</span> <span class=\"unit\">diameter part</span></td></tr><tr><td>1000 <span class=\"unit\">rad</span></td><td>59999<span>.9812</span> <span class=\"unit\">diameter part</span></td></tr></table>",
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