ConvertOnlineRadians to Turns calculator
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Radians to Turns formula
Use this formula to convert radians to turns:
Calculation
Enter a valid number above to see the formula with your value substituted step by step.
Radians to Turns Conversion Table
Reference values for converting 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 |
Worked example
Convert 1.5 Radians to Turns
Turns = 1.5 / (2 × π) = 0.2387 Turns
About these units
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.
{"formula":"x / (2 * π)","precision":11,"x_desc":"Radians","y_desc":"Turns"}