Diameter Parts to Radians Converter

Diameter Parts



Radians





⇅ Switch toRadians to Diameter Parts Converter

How to use this Diameter Parts to Radians Converter 🤔

Follow these steps to convert given angle from the units of Diameter Parts to the units of Radians.

  1. Enter the input Diameter Parts value in the text field.
  2. The calculator converts the given Diameter Parts into Radians in realtime ⌚ using the conversion formula, and displays under the Radians label. You do not need to click any button. If the input changes, Radians value is re-calculated, just like that.
  3. You may copy the resulting Radians value using the Copy button.
  4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
  5. You can also reset the input by clicking on Reset button present below the input field.

What is the Formula to convert Diameter Parts to Radians?

The formula to convert given angle from Diameter Parts to Radians is:

Angle(Radians) = Angle(Diameter Parts) × 2 × π / 376.991

To convert any given angle from diameter parts to radians, substitute the given value of Angle(Diameter Parts) in the above formula, simplify the right-hand side value.

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a mechanical watch's gear rotates by 12 diameter parts.
Convert this rotation from diameter parts to Radians.

Answer:

Given:

The angle in diameter parts is:

Angle(Diameter Parts) = 12

Formula:

The formula to convert angle from diameter parts to radians is:

Angle(Radians) = Angle(Diameter Parts) × 2 × π / 376.991

Substitution:

Substitute given weight Angle(Diameter Parts) = 12 in the above formula.

Angle(Radians) = 12 × 2 × 3.14159265359 / 376.991

Angle(Radians) = 0.2

Final Answer:

Therefore, 12 diameter part is equal to 0.2 rad.

The angle is 0.2 rad, in radians.

2

Consider that a precision tool rotates by 16 diameter parts for accurate measurements.
Convert this rotation from diameter parts to Radians.

Answer:

Given:

The angle in diameter parts is:

Angle(Diameter Parts) = 16

Formula:

The formula to convert angle from diameter parts to radians is:

Angle(Radians) = Angle(Diameter Parts) × 2 × π / 376.991

Substitution:

Substitute given weight Angle(Diameter Parts) = 16 in the above formula.

Angle(Radians) = 16 × 2 × 3.14159265359 / 376.991

Angle(Radians) = 0.2667

Final Answer:

Therefore, 16 diameter part is equal to 0.2667 rad.

The angle is 0.2667 rad, in radians.

Diameter Parts to Radians Conversion Table

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

Diameter Parts (diameter part)Radians (rad)
0 diameter part0 rad
1 diameter part0.0166666719 rad
10 diameter part0.1667 rad
45 diameter part0.75 rad
90 diameter part1.5 rad
180 diameter part3 rad
360 diameter part6 rad
1000 diameter part16.6667 rad

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.

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.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Diameter Parts to Radians in Angle?

2. Is this tool free or paid?

3. How do I convert Angle from Diameter Parts to Radians?