# Seconds to Milli-radians Converter

⇅ Switch toMilli-radians to Seconds Converter

## How to use this Seconds to Milli-radians Converter 🤔

Follow these steps to convert given angle from the units of Seconds to the units of Milli-radians.

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

## What is the Formula to convert Seconds to Milli-radians?

The formula to convert given angle from Seconds to Milli-radians is:

Angle_{(Milli-radians)} = Angle_{(Seconds)} × π / 648

Substitute the given value of angle in seconds, i.e., Angle_{(Seconds)} in the above formula and simplify the right-hand side value. The resulting value is the angle in milli-radians, i.e., Angle_{(Milli-radians)}.

## Calculation

## Examples

### Consider that a microscope's fine adjustment is set to 30 arc seconds for detailed observation.

Convert this angle from seconds to Milli-radians.

#### Answer:

**Given:**

The angle in seconds is:

Angle_{(Seconds)} = 30

**Formula:**

The formula to convert angle from seconds to milli-radians is:

Angle_{(Milli-radians)} = Angle_{(Seconds)} × π / 648

**Substitution:**

Substitute given weight **Angle _{(Seconds)} = 30** in the above formula.

Angle_{(Milli-radians)} = 30 × 3.14159265359 / 648

Angle_{(Milli-radians)} = 0.1454

**Final Answer:**

Therefore, **30 "** is equal to **0.1454 mrad**.

The angle is **0.1454 mrad**, in milli-radians.

### Consider that a telescope's alignment needs to be within 20 arc seconds for accurate tracking.

Convert this angle from seconds to Milli-radians.

#### Answer:

**Given:**

The angle in seconds is:

Angle_{(Seconds)} = 20

**Formula:**

The formula to convert angle from seconds to milli-radians is:

Angle_{(Milli-radians)} = Angle_{(Seconds)} × π / 648

**Substitution:**

Substitute given weight **Angle _{(Seconds)} = 20** in the above formula.

Angle_{(Milli-radians)} = 20 × 3.14159265359 / 648

Angle_{(Milli-radians)} = 0.09696273622

**Final Answer:**

Therefore, **20 "** is equal to **0.09696273622 mrad**.

The angle is **0.09696273622 mrad**, in milli-radians.

## Seconds to Milli-radians Conversion Table

The following table gives some of the most used conversions from Seconds to Milli-radians.

Seconds (") | Milli-radians (mrad) |
---|---|

0 " | 0 mrad |

1 " | 0.00484813681 mrad |

10 " | 0.04848136811 mrad |

45 " | 0.2182 mrad |

90 " | 0.4363 mrad |

180 " | 0.8727 mrad |

360 " | 1.7453 mrad |

1000 " | 4.8481 mrad |

## Seconds

Seconds of arc, often simply called arcseconds, are a further subdivision of minutes of arc, with 60 seconds in one minute. This small unit is used for extremely precise angular measurements, such as those needed in astronomy, optics, and surveying, where even minute differences in angle can be significant.

## Milli-radians

Milli-radians (mrad) are a unit of angular measurement equal to one-thousandth of a radian. This small unit is used in fields such as ballistics, gunnery, and optics, where precise angular measurements are critical. Milli-radians allow for the calculation of minute angular displacements, distances, and target adjustments.

## Frequently Asked Questions (FAQs)

### 1. What is the formula for converting Seconds to Milli-radians in Angle?

The formula to convert Seconds to Milli-radians in Angle is:

Seconds * π / 648

### 2. Is this tool free or paid?

This Angle conversion tool, which converts Seconds to Milli-radians, is completely free to use.

### 3. How do I convert Angle from Seconds to Milli-radians?

To convert Angle from Seconds to Milli-radians, you can use the following formula:

Seconds * π / 648

For example, if you have a value in Seconds, you substitute that value in place of Seconds in the above formula, and solve the mathematical expression to get the equivalent value in Milli-radians.