Milli-radians to Hour Angles Converter

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Hour Angles





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How to use this Milli-radians to Hour Angles Converter 🤔

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

  1. Enter the input Milli-radians value in the text field.
  2. The calculator converts the given Milli-radians into Hour Angles in realtime ⌚ using the conversion formula, and displays under the Hour Angles label. You do not need to click any button. If the input changes, Hour Angles value is re-calculated, just like that.
  3. You may copy the resulting Hour Angles 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 Milli-radians to Hour Angles?

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

Angle(Hour Angles) = Angle(Milli-radians) × 24 / (2000 × π)

Substitute the given value of angle in milli-radians, i.e., Angle(Milli-radians) in the above formula and simplify the right-hand side value. The resulting value is the angle in hour angles, i.e., Angle(Hour Angles).

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a sniper adjusts their scope by 2 milliradians for long-distance accuracy.
Convert this angle from milliradians to Hour Angles.

Answer:

Given:

The angle in milli-radians is:

Angle(Milli-radians) = 2

Formula:

The formula to convert angle from milli-radians to hour angles is:

Angle(Hour Angles) = Angle(Milli-radians) × 24 / (2000 × π)

Substitution:

Substitute given weight Angle(Milli-radians) = 2 in the above formula.

Angle(Hour Angles) = 2 × 24 / (2000 × 3.14159265359)

Angle(Hour Angles) = 0.00763943727

Final Answer:

Therefore, 2 mrad is equal to 0.00763943727 hour angle.

The angle is 0.00763943727 hour angle, in hour angles.

2

Consider that a military rangefinder uses 5 milliradians for precise targeting.
Convert this angle from milliradians to Hour Angles.

Answer:

Given:

The angle in milli-radians is:

Angle(Milli-radians) = 5

Formula:

The formula to convert angle from milli-radians to hour angles is:

Angle(Hour Angles) = Angle(Milli-radians) × 24 / (2000 × π)

Substitution:

Substitute given weight Angle(Milli-radians) = 5 in the above formula.

Angle(Hour Angles) = 5 × 24 / (2000 × 3.14159265359)

Angle(Hour Angles) = 0.01909859317

Final Answer:

Therefore, 5 mrad is equal to 0.01909859317 hour angle.

The angle is 0.01909859317 hour angle, in hour angles.

Milli-radians to Hour Angles Conversion Table

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

Milli-radians (mrad)Hour Angles (hour angle)
0 mrad0 hour angle
1 mrad0.00381971863 hour angle
10 mrad0.03819718634 hour angle
45 mrad0.1719 hour angle
90 mrad0.3438 hour angle
180 mrad0.6875 hour angle
360 mrad1.3751 hour angle
1000 mrad3.8197 hour angle

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.

Hour Angles

Hour angles are a unit of angular measurement used in astronomy to describe the position of celestial objects relative to an observer's local meridian. One hour angle corresponds to 15 degrees, reflecting the Earth's rotation rate of 15 degrees per hour. Hour angles are crucial in celestial navigation and the tracking of astronomical objects.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Milli-radians to Hour Angles in Angle?

2. Is this tool free or paid?

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