rad to hour angle | Radians to Hour Angles Converter

How to use this Radians to Hour Angles Converter 🤔

Follow these steps to convert given Radians value from Radians units to Hour Angles units.

Enter the input Radians value in the text field.
The given Radians is converted to Hour Angles in realtime ⌚ using the formula, and displayed under the Hour Angles label.
You may copy the resulting Hour Angles value using the Copy button.

Formula

To convert given angle from Radians to Hour Angles, use the following formula.

Hour Angles = Radians * 12 / π

Calculation

Calculation will be done after you enter a valid input.

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 rad	0 hour angle
1 rad	3.8197 hour angle
10 rad	38.1972 hour angle
45 rad	171.8873 hour angle
90 rad	343.7747 hour angle
180 rad	687.5494 hour angle
360 rad	1375.0987 hour angle
1000 rad	3819.7186 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.

{ "conversion": "radians-hour_angles", "x_slug": "radians", "y_slug": "hour_angles", "x": "rad", "y": "hour angle", "x_desc": "Radians", "y_desc": "Hour Angles", "category": "Angle", "symbol": "m", "formula": "x * 12 / π", "precision": 11, "examples": "<div class=\"example\">\n <div class=\"example_head\">1\n <h3 class=\"question\">Consider that a robotic arm rotates by 1.5 radians to position an object accurately. Convert this angle from radians to Hour Angles.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in radians is:\n Angle(Radians) = 1.5\n Formula:\n The formula to convert angle from radians to hour angles is:\n Angle(Hour Angles) = Angle(Radians) × 12 / π\n Substitution:\n Substitute given weight Angle(Radians) = 1.5 in the above formula.\n Angle(Hour Angles) = 1.5 × 12 / 3.14159265359\n Angle(Hour Angles) = 5.7296\n Final Answer:\n Therefore, 1.5 rad is equal to 5.7296 hour angle.\n The angle is 5.7296 hour angle, in hour angles.\n </div>\n <div class=\"example\">\n <div class=\"example_head\">2\n <h3 class=\"question\">Consider that a satellite dish adjusts by 0.75 radians to align with a signal. Convert this angle from radians to Hour Angles.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n Given:\n The angle in radians is:\n Angle(Radians) = 0.75\n Formula:\n The formula to convert angle from radians to hour angles is:\n Angle(Hour Angles) = Angle(Radians) × 12 / π\n Substitution:\n Substitute given weight Angle(Radians) = 0.75 in the above formula.\n Angle(Hour Angles) = 0.75 × 12 / 3.14159265359\n Angle(Hour Angles) = 2.8648\n Final Answer:\n Therefore, 0.75 rad is equal to 2.8648 hour angle.\n The angle is 2.8648 hour angle, in hour angles.\n </div>\n ", "table1n": "<h2>Radians to Hour Angles Conversion Table</h2>The following table gives some of the most used conversions from Radians to Hour Angles.<table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (rad)</th><th scope=\"column\" role=\"columnheader\">Hour Angles (hour angle)</th><tr></thead><tbody><tr><td>0 rad</td><td>0 hour angle</td></tr><tr><td>1 rad</td><td>3.8197 hour angle</td></tr><tr><td>10 rad</td><td>38.1972 hour angle</td></tr><tr><td>45 rad</td><td>171.8873 hour angle</td></tr><tr><td>90 rad</td><td>343.7747 hour angle</td></tr><tr><td>180 rad</td><td>687.5494 hour angle</td></tr><tr><td>360 rad</td><td>1375.0987 hour angle</td></tr><tr><td>1000 rad</td><td>3819.7186 hour angle</td></tr></table>", "units": [ [ "degrees", "Degrees", "°" ], [ "radians", "Radians", "rad" ], [ "gradians", "Gradians", "gon" ], [ "minutes", "Minutes", "'" ], [ "seconds", "Seconds", "\"" ], [ "turns", "Turns", "turn" ], [ "circles", "Circles", "circle" ], [ "binary_degrees", "Binary Degrees", "°" ], [ "compass_points", "Compass Points", "compass point" ], [ "diameter_part", "Diameter Parts", "diameter part" ], [ "hexacontades", "Hexa-Contades", "hexacontade" ], [ "hour_angles", "Hour Angles", "hour angle" ], [ "right_angles", "Right Angles", "right angle" ], [ "milliradians", "Milli-radians", "mrad" ], [ "quadrants", "Quadrants", "quadrant" ], [ "sextants", "Sextants", "sextant" ], [ "pi_radians", "π Radians", "π radians" ], [ "zam", "Zam", "zam" ] ], "x_long_desc": "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.", "y_long_desc": "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." }

Convert Radians to Hour Angles