Radians to Hour Angles Converter

Enter Radians


Hour Angles





⇅ Switch toHour Angles to Radians Converter

How to use this Radians to Hour Angles Converter 🤔

Follow these steps to convert given angle from the units of Radians to the units of Hour Angles.

  1. Enter the input Radians value in the text field.
  2. The calculator converts the given 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 Radians to Hour Angles?

The formula to convert given angle from Radians to Hour Angles is:

Angle(Hour Angles) = Angle(Radians) × 12 / π

Substitute the given value of angle in radians, i.e., Angle(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 robotic arm rotates by 1.5 radians to position an object accurately.
Convert this angle from radians to Hour Angles.

Answer:

Given:

The angle in radians is:

Angle(Radians) = 1.5

Formula:

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

Angle(Hour Angles) = Angle(Radians) × 12 / π

Substitution:

Substitute given weight Angle(Radians) = 1.5 in the above formula.

Angle(Hour Angles) = 1.5 × 12 / 3.14159265359

Angle(Hour Angles) = 5.7296

Final Answer:

Therefore, 1.5 rad is equal to 5.7296 hour angle.

The angle is 5.7296 hour angle, in hour angles.

2

Consider that a satellite dish adjusts by 0.75 radians to align with a signal.
Convert this angle from radians to Hour Angles.

Answer:

Given:

The angle in radians is:

Angle(Radians) = 0.75

Formula:

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

Angle(Hour Angles) = Angle(Radians) × 12 / π

Substitution:

Substitute given weight Angle(Radians) = 0.75 in the above formula.

Angle(Hour Angles) = 0.75 × 12 / 3.14159265359

Angle(Hour Angles) = 2.8648

Final Answer:

Therefore, 0.75 rad is equal to 2.8648 hour angle.

The angle is 2.8648 hour angle, in hour angles.

Radians to Hour Angles Conversion Table

The following table gives some of the most used conversions from Radians to Hour Angles.

Radians (rad)Hour Angles (hour angle)
0 rad0 hour angle
1 rad3.8197 hour angle
10 rad38.1972 hour angle
45 rad171.8873 hour angle
90 rad343.7747 hour angle
180 rad687.5494 hour angle
360 rad1375.0987 hour angle
1000 rad3819.7186 hour angle

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.

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 Radians to Hour Angles in Angle?

2. Is this tool free or paid?

3. How do I convert Angle from Radians to Hour Angles?