rad to turn | Radians to Turns Converter

How to use this Radians to Turns Converter 🤔

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

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

Formula

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

Turns = Radians / (2 * π)

Calculation

Calculation will be done after you enter a valid input.

Radians to Turns Conversion Table

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

Radians (rad)	Turns (turn)
0 rad	0 turn
1 rad	0.1592 turn
10 rad	1.5915 turn
45 rad	7.162 turn
90 rad	14.3239 turn
180 rad	28.6479 turn
360 rad	57.2958 turn
1000 rad	159.1549 turn

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.

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.

{ "conversion": "radians-turns", "x_slug": "radians", "y_slug": "turns", "x": "rad", "y": "turn", "x_desc": "Radians", "y_desc": "Turns", "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 robotic arm rotates by 1.5 radians to position an object accurately. Convert this angle from radians to Turns.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in radians is:\n Angle(Radians) = 1.5\n Formula:\n The formula to convert angle from radians to turns is:\n Angle(Turns) = Angle(Radians) / (2 × π)\n Substitution:\n Substitute given weight Angle(Radians) = 1.5 in the above formula.\n Angle(Turns) = 1.5 / (2 × 3.14159265359)\n Angle(Turns) = 0.2387\n Final Answer:\n Therefore, 1.5 rad is equal to 0.2387 turn.\n The angle is 0.2387 turn, in turns.\n </div>\n <div class=\"example\">\n <div class=\"example_head\">2\n <h3 class=\"question\">Consider that a satellite dish adjusts by 0.75 radians to align with a signal. Convert this angle from radians to Turns.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in radians is:\n Angle(Radians) = 0.75\n Formula:\n The formula to convert angle from radians to turns is:\n Angle(Turns) = Angle(Radians) / (2 × π)\n Substitution:\n Substitute given weight Angle(Radians) = 0.75 in the above formula.\n Angle(Turns) = 0.75 / (2 × 3.14159265359)\n Angle(Turns) = 0.1194\n Final Answer:\n Therefore, 0.75 rad is equal to 0.1194 turn.\n The angle is 0.1194 turn, in turns.\n </div>\n ", "table1n": "<h2>Radians to Turns Conversion Table</h2>The following table gives some of the most used conversions from Radians to Turns.<table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (rad)</th><th scope=\"column\" role=\"columnheader\">Turns (turn)</th><tr></thead><tbody><tr><td>0 rad</td><td>0 turn</td></tr><tr><td>1 rad</td><td>0.1592 turn</td></tr><tr><td>10 rad</td><td>1.5915 turn</td></tr><tr><td>45 rad</td><td>7.162 turn</td></tr><tr><td>90 rad</td><td>14.3239 turn</td></tr><tr><td>180 rad</td><td>28.6479 turn</td></tr><tr><td>360 rad</td><td>57.2958 turn</td></tr><tr><td>1000 rad</td><td>159.1549 turn</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" ] ], "x_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.", "y_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 Radians to Turns