Follow these steps to convert given Turns value from Turns units to π Radians units.
Enter the input Turns value in the text field.
The given Turns is converted to π Radians in realtime ⌚ using the formula, and displayed under the π Radians label.
You may copy the resulting π Radians value using the Copy button.
Formula
To convert given angle from Turns to π Radians, use the following formula.
π Radians = Turns * 2
Calculation
Calculation will be done after you enter a valid input.
Turns to π Radians Conversion Table
The following table gives some of the most used conversions from Turns to π Radians.
Turns (turn)
π Radians (π radians)
0 turn
0 π radians
1 turn
2 π radians
10 turn
20 π radians
45 turn
90 π radians
90 turn
180 π radians
180 turn
360 π radians
360 turn
720 π radians
1000 turn
2000 π radians
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 2π 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.
π Radians
π radians represent a half-circle or 180 degrees. This unit is fundamental in mathematics, particularly in trigonometry and calculus, where the relationship between angles and the properties of circles is central to many concepts. The use of π radians simplifies the representation of angles and the formulation of trigonometric functions.
{
"conversion": "turns-pi_radians",
"x_slug": "turns",
"y_slug": "pi_radians",
"x": "turn",
"y": "π radians",
"x_desc": "Turns",
"y_desc": "π Radians",
"category": "Angle",
"symbol": "m",
"formula": "x * 2",
"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 π 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 π radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(π Radians)</sub></span> = <span>Angle<sub>(Turns)</sub></span> × 2</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>(π Radians)</sub></span> = <span>0.25</span> × 2</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 0.5</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.25 turn</strong> is equal to <strong>0.5 π radians</strong>.</p>\n <p>The angle is <strong>0.5 π radians</strong>, in π 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 π 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 π radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(π Radians)</sub></span> = <span>Angle<sub>(Turns)</sub></span> × 2</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>(π Radians)</sub></span> = <span>2</span> × 2</p>\n <p class=\"step\"><span>Angle<sub>(π Radians)</sub></span> = 4</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 turn</strong> is equal to <strong>4 π radians</strong>.</p>\n <p>The angle is <strong>4 π radians</strong>, in π radians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Turns</span> to <span class=\"y\">π Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Turns to π Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Turns (<span class=\"unit\">turn</span>)</th><th scope=\"column\" role=\"columnheader\">π Radians (<span class=\"unit\">π radians</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">turn</span></td><td>0 <span class=\"unit\">π radians</span></td></tr><tr><td>1 <span class=\"unit\">turn</span></td><td>2 <span class=\"unit\">π radians</span></td></tr><tr><td>10 <span class=\"unit\">turn</span></td><td>20 <span class=\"unit\">π radians</span></td></tr><tr><td>45 <span class=\"unit\">turn</span></td><td>90 <span class=\"unit\">π radians</span></td></tr><tr><td>90 <span class=\"unit\">turn</span></td><td>180 <span class=\"unit\">π radians</span></td></tr><tr><td>180 <span class=\"unit\">turn</span></td><td>360 <span class=\"unit\">π radians</span></td></tr><tr><td>360 <span class=\"unit\">turn</span></td><td>720 <span class=\"unit\">π radians</span></td></tr><tr><td>1000 <span class=\"unit\">turn</span></td><td>2000 <span class=\"unit\">π radians</span></td></tr></table>",
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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 2π 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": "π radians represent a half-circle or 180 degrees. This unit is fundamental in mathematics, particularly in trigonometry and calculus, where the relationship between angles and the properties of circles is central to many concepts. The use of π radians simplifies the representation of angles and the formulation of trigonometric functions."
}
ConvertOnline