Seconds to Milli-radians Converter

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Milli-radians





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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.

  1. Enter the input Seconds value in the text field.
  2. 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.
  3. You may copy the resulting Milli-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 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

Calculation will be done after you enter a valid input.

Examples

1

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.

2

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?

2. Is this tool free or paid?

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