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Hour angle Formula

GoHour Angle at Sunrise and Sunset Formula

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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. Check FAQs

ω = (\frac{ST}{3600} - 12) \cdot 15 \cdot 0.0175

ω - Hour angle?ST - Solar Time?

Hour angle Example

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Here is how the Hour angle equation looks like with Values.

Here is how the Hour angle equation looks like with Units.

Here is how the Hour angle equation looks like.

119.8616 = (\frac{71890}{3600} - 12) \cdot 15 \cdot 0.0175

119.8616° = (\frac{71890s}{3600} - 12) \cdot 15 \cdot 0.0175

119.8616 = (\frac{71890}{3600} - 12) \cdot 15 \cdot 0.0175

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Hour angle Solution

Follow our step by step solution on how to calculate Hour angle?

FIRST Step Consider the formula

ω = (\frac{ST}{3600} - 12) \cdot 15 \cdot 0.0175

Next Step Substitute values of Variables

∴

ω = (\frac{71890s}{3600} - 12) \cdot 15 \cdot 0.0175

Next Step Prepare to Evaluate

∴

ω = (\frac{71890}{3600} - 12) \cdot 15 \cdot 0.0175

Next Step Evaluate

∴

ω = 2.09197916666667rad

Next Step Convert to Output's Unit

∴

ω = 119.861577079318°

LAST Step Rounding Answer

∴

ω = 119.8616°

Hour angle Formula Elements

Variables

Hour angle

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.

Symbol: ω

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Hour angle

Solar Time

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.

Symbol: ST

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Solar Time

Other Formulas to find Hour angle

Go Hour Angle at Sunrise and Sunset

ω = a \cos (- \tan (Φ - β) \cdot \tan (δ))

Other formulas in Basics category

Go Tilt factor for reflected radiation

r r = \frac{ρ \cdot (1 - \cos (β))}{2}

Go Tilt factor for diffused radiation

r d = \frac{1 + \cos (β)}{2}

Go Energy Conversion Efficiency of Solar Chimney

η max = 9.81 \cdot \frac{H}{1005 \cdot T a}

Go Declination angle

δ = 23.45 \cdot \sin (0.9863 \cdot (284 + N))

How to Evaluate Hour angle?

Hour angle evaluator uses Hour angle = (Solar Time/3600-12)*15*0.0175 to evaluate 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 evaluate Hour angle using this online evaluator? To use this online evaluator for Hour angle, enter Solar Time (ST) and hit the calculate button.

FAQs on Hour angle

What is the formula to find Hour angle?

The formula of Hour angle is expressed as Hour angle = (Solar Time/3600-12)*15*0.0175. Here is an example- 6869.956 = (71890/3600-12)*15*0.0175.

How to calculate Hour angle?

With Solar Time (ST) we can find Hour angle using the formula - Hour angle = (Solar Time/3600-12)*15*0.0175.

What are the other ways to Calculate Hour angle?

Here are the different ways to Calculate Hour angle-

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

Can the Hour angle be negative?

Yes, the Hour angle, measured in Angle can be negative.

Which unit is used to measure Hour angle?

Hour angle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Hour angle can be measured.

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