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Hour angle Calculator

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✖The Solar Time is the time based on the position of the sun in the sky, used to optimize solar energy collection and system performance.ⓘ Solar Time [ST]

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✖The Hour angle is the measure of time since solar noon, expressed in degrees, indicating the position of the sun in the sky relative to an observer.ⓘ Hour angle [ω]

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Hour angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hour angle = (Solar Time/3600-12)*15*0.0175
ω = (ST/3600-12)*15*0.0175
This formula uses 2 Variables

Variables Used

Hour angle - (Measured in Radian) - The Hour angle is the measure of time since solar noon, expressed in degrees, indicating the position of the sun in the sky relative to an observer.
Solar Time - (Measured in Second) - The Solar Time is the time based on the position of the sun in the sky, used to optimize solar energy collection and system performance.

STEP 1: Convert Input(s) to Base Unit

Solar Time: 71890 Second --> 71890 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = (ST/3600-12)*15*0.0175 --> (71890/3600-12)*15*0.0175

Evaluating ... ...

ω = 2.09197916666667

STEP 3: Convert Result to Output's Unit

2.09197916666667 Radian -->119.861577079318 Degree (Check conversion here)

FINAL ANSWER

119.861577079318 ≈ 119.8616 Degree <-- Hour angle

(Calculation completed in 00.004 seconds)

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Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

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Verified by Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

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< Basics Calculators

Hour Angle at Sunrise and Sunset

LaTeX Go Hour angle = acos(-tan(Latitude Angle-Tilt Angle)*tan(Declination Angle))

Tilt factor for reflected radiation

LaTeX Go Tilt factor for reflected radiation = (Reflectivity*(1-cos(Tilt Angle)))/2

Tilt factor for diffused radiation

LaTeX Go Tilt factor for diffused radiation = (1+cos(Tilt Angle))/2

Hour angle

LaTeX Go Hour angle = (Solar Time/3600-12)*15*0.0175

Hour angle Formula

LaTeX Go

Hour angle = (Solar Time/3600-12)*15*0.0175
ω = (ST/3600-12)*15*0.0175

What is Solar Hour Angle?

The solar hour angle is the measure of time, expressed as an angular distance, that indicates the position of the sun relative to the local solar noon. It represents the Earth's rotation, with 15 degrees corresponding to one hour. At solar noon, the hour angle is zero, and it becomes positive in the afternoon (westward) and negative in the morning (eastward). The solar hour angle is used in calculating solar positions for various applications, such as solar energy systems and sundials.

How to Calculate Hour angle?

Hour angle calculator uses Hour angle = (Solar Time/3600-12)*15*0.0175 to calculate the Hour angle, The Hour angle formula converts the local solar time (LST) into the number of degrees which the sun moves across the sky. Hour angle is denoted by ω symbol.

How to calculate Hour angle using this online calculator? To use this online calculator for Hour angle, enter Solar Time (ST) and hit the calculate button. Here is how the Hour angle calculation can be explained with given input values -> 6869.956 = (71890/3600-12)*15*0.0175.

FAQ

What is Hour angle?

The Hour angle formula converts the local solar time (LST) into the number of degrees which the sun moves across the sky and is represented as ω = (ST/3600-12)*15*0.0175 or Hour angle = (Solar Time/3600-12)*15*0.0175. The Solar Time is the time based on the position of the sun in the sky, used to optimize solar energy collection and system performance.

How to calculate Hour angle?

The Hour angle formula converts the local solar time (LST) into the number of degrees which the sun moves across the sky is calculated using Hour angle = (Solar Time/3600-12)*15*0.0175. To calculate Hour angle, you need Solar Time (ST). With our tool, you need to enter the respective value for Solar Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Hour angle?

In this formula, Hour angle uses Solar Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hour angle = acos(-tan(Latitude Angle-Tilt Angle)*tan(Declination Angle))

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