turn to rad | Turns to Radians Converter

How to use this Turns to Radians Converter 🤔

Follow these steps to convert given Turns value from Turns units to Radians units.

Enter the input Turns value in the text field.
The given Turns is converted to Radians in realtime ⌚ using the formula, and displayed under the Radians label.
You may copy the resulting Radians value using the Copy button.

Formula

To convert given angle from Turns to Radians, use the following formula.

Radians = Turns * 2 * π

Calculation

Calculation will be done after you enter a valid input.

Turns to Radians Conversion Table

The following table gives some of the most used conversions from Turns to Radians.

Turns (turn)	Radians (rad)
0 turn	0 rad
1 turn	6.2832 rad
10 turn	62.8319 rad
45 turn	282.7433 rad
90 turn	565.4867 rad
180 turn	1130.9734 rad
360 turn	2261.9467 rad
1000 turn	6283.1853 rad

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.

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.

{ "conversion": "turns-radians", "x_slug": "turns", "y_slug": "radians", "x": "turn", "y": "rad", "x_desc": "Turns", "y_desc": "Radians", "category": "Angle", "symbol": "m", "formula": "x * 2 * π", "precision": 11, "examples": "<div class=\"example\">\n <div class=\"example_head\">1\n <h3 class=\"question\">Consider that a turntable rotates by 0.25 turns to play a vinyl record. Convert this rotation from turns to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in turns is:\n Angle(Turns) = 0.25\n Formula:\n The formula to convert angle from turns to radians is:\n Angle(Radians) = Angle(Turns) × 2 × π\n Substitution:\n Substitute given weight Angle(Turns) = 0.25 in the above formula.\n Angle(Radians) = 0.25 × 2 × 3.14159265359\n Angle(Radians) = 1.5708\n Final Answer:\n Therefore, 0.25 turn is equal to 1.5708 rad.\n The angle is 1.5708 rad, in radians.\n </div>\n <div class=\"example\">\n <div class=\"example_head\">2\n <h3 class=\"question\">Consider that a wind turbine completes 2 turns in a light breeze. Convert this rotation from turns to Radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in turns is:\n Angle(Turns) = 2\n Formula:\n The formula to convert angle from turns to radians is:\n Angle(Radians) = Angle(Turns) × 2 × π\n Substitution:\n Substitute given weight Angle(Turns) = 2 in the above formula.\n Angle(Radians) = 2 × 2 × 3.14159265359\n Angle(Radians) = 12.5664\n Final Answer:\n Therefore, 2 turn is equal to 12.5664 rad.\n The angle is 12.5664 rad, in radians.\n </div>\n ", "table1n": "<h2>Turns to Radians Conversion Table</h2>The following table gives some of the most used conversions from Turns to Radians.<table><thead><tr><th scope=\"column\" role=\"columnheader\">Turns (turn)</th><th scope=\"column\" role=\"columnheader\">Radians (rad)</th><tr></thead><tbody><tr><td>0 turn</td><td>0 rad</td></tr><tr><td>1 turn</td><td>6.2832 rad</td></tr><tr><td>10 turn</td><td>62.8319 rad</td></tr><tr><td>45 turn</td><td>282.7433 rad</td></tr><tr><td>90 turn</td><td>565.4867 rad</td></tr><tr><td>180 turn</td><td>1130.9734 rad</td></tr><tr><td>360 turn</td><td>2261.9467 rad</td></tr><tr><td>1000 turn</td><td>6283.1853 rad</td></tr></table>", "units": [ [ "degrees", "Degrees", "°" ], [ "radians", "Radians", "rad" ], [ "gradians", "Gradians", "gon" ], [ "minutes", "Minutes", "'" ], [ "seconds", "Seconds", "\"" ], [ "turns", "Turns", "turn" ], [ "circles", "Circles", "circle" ], [ "binary_degrees", "Binary Degrees", "°" ], [ "compass_points", "Compass Points", "compass point" ], [ "diameter_part", "Diameter Parts", "diameter part" ], [ "hexacontades", "Hexa-Contades", "hexacontade" ], [ "hour_angles", "Hour Angles", "hour angle" ], [ "right_angles", "Right Angles", "right angle" ], [ "milliradians", "Milli-radians", "mrad" ], [ "quadrants", "Quadrants", "quadrant" ], [ "sextants", "Sextants", "sextant" ], [ "pi_radians", "π Radians", "π radians" ], [ "zam", "Zam", "zam" ] ], "y_long_desc": "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.", "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." }

Convert Turns to Radians