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Inclination of reflectors Formula

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The Inclination of Reflector is the angle at which a reflector is positioned to optimize sunlight capture in solar concentrating systems. Check FAQs

Ψ = \frac{π - β - 2 \cdot Φ + 2 \cdot δ}{3}

Ψ - Inclination of Reflector?β - Tilt Angle?Φ - Latitude Angle?δ - Declination Angle?π - Archimedes' constant?

Inclination of reflectors Example

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Here is how the Inclination of reflectors equation looks like with Values.

Here is how the Inclination of reflectors equation looks like with Units.

Here is how the Inclination of reflectors equation looks like.

36.8333 = \frac{3.1416 - 5.5 - 2 \cdot 55 + 2 \cdot 23}{3}

36.8333° = \frac{3.1416 - 5.5° - 2 \cdot 55° + 2 \cdot 23°}{3}

36.8333 = \frac{3.1416 - 5.5 - 2 \cdot 55 + 2 \cdot 23}{3}

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Inclination of reflectors Solution

Follow our step by step solution on how to calculate Inclination of reflectors?

FIRST Step Consider the formula

Ψ = \frac{π - β - 2 \cdot Φ + 2 \cdot δ}{3}

Next Step Substitute values of Variables

∴

Ψ = \frac{π - 5.5° - 2 \cdot 55° + 2 \cdot 23°}{3}

Next Step Substitute values of Constants

∴

Ψ = \frac{3.1416 - 5.5° - 2 \cdot 55° + 2 \cdot 23°}{3}

Next Step Convert Units

∴

Ψ = \frac{3.1416 - 0.096rad - 2 \cdot 0.9599rad + 2 \cdot 0.4014rad}{3}

Next Step Prepare to Evaluate

∴

Ψ = \frac{3.1416 - 0.096 - 2 \cdot 0.9599 + 2 \cdot 0.4014}{3}

Next Step Evaluate

∴

Ψ = 0.64286294115132rad

Next Step Convert to Output's Unit

∴

Ψ = 36.8333333333446°

LAST Step Rounding Answer

∴

Ψ = 36.8333°

Inclination of reflectors Formula Elements

Variables

Constants

Inclination of Reflector

The Inclination of Reflector is the angle at which a reflector is positioned to optimize sunlight capture in solar concentrating systems.

Symbol: Ψ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Inclination of Reflector

Tilt Angle

The Tilt Angle is the angle at which a solar collector is positioned relative to the ground, optimizing sunlight exposure for efficient energy capture.

Symbol: β

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Tilt Angle

Latitude Angle

The Latitude Angle is the angle between the horizontal plane and the line connecting the center of the Earth to a specific location, influencing solar energy collection efficiency.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Latitude Angle

Declination Angle

The Declination Angle is the angle between the rays of the sun and the plane of the Earth's equator, affecting solar energy collection efficiency.

Symbol: δ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Declination Angle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Concentrating Collectors category

Go Maximum possible concentration ratio of 2-D concentrator

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Go Maximum possible concentration ratio of 3-D concentrator

C m = \frac{2}{1 - \cos (2 \cdot θ a 3d)}

Go Useful heat gain in concentrating collector

q u = A a \cdot S - q l

Go Concentration ratio of collector

C = \frac{W - D o}{π \cdot D o}

How to Evaluate Inclination of reflectors?

Inclination of reflectors evaluator uses Inclination of Reflector = (pi-Tilt Angle-2*Latitude Angle+2*Declination Angle)/3 to evaluate the Inclination of Reflector, The Inclination of reflectors formula is defined as the angle at which the reflectors are aligned to reflect incident sun rays onto the collector. Inclination of Reflector is denoted by Ψ symbol.

How to evaluate Inclination of reflectors using this online evaluator? To use this online evaluator for Inclination of reflectors, enter Tilt Angle (β), Latitude Angle (Φ) & Declination Angle (δ) and hit the calculate button.

FAQs on Inclination of reflectors

What is the formula to find Inclination of reflectors?

The formula of Inclination of reflectors is expressed as Inclination of Reflector = (pi-Tilt Angle-2*Latitude Angle+2*Declination Angle)/3. Here is an example- 2110.395 = (pi-0.0959931088596701-2*0.959931088596701+2*0.40142572795862)/3.

How to calculate Inclination of reflectors?

With Tilt Angle (β), Latitude Angle (Φ) & Declination Angle (δ) we can find Inclination of reflectors using the formula - Inclination of Reflector = (pi-Tilt Angle-2*Latitude Angle+2*Declination Angle)/3. This formula also uses Archimedes' constant .

Can the Inclination of reflectors be negative?

Yes, the Inclination of reflectors, measured in Angle can be negative.

Which unit is used to measure Inclination of reflectors?

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

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Inclination of reflectors Formula

Inclination of reflectors Example

Inclination of reflectors Solution

Inclination of reflectors Formula Elements

Other formulas in Concentrating Collectors category

How to Evaluate Inclination of reflectors?

FAQs on Inclination of reflectors

Variable Name