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Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio Formula

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Acceptance Angle for 2D is the range of angles at which a solar collector can effectively capture sunlight, maximizing energy absorption for optimal performance. Check FAQs

θ a 2d = a \sin (\frac{1}{C m})

θ_{a 2d} - Acceptance Angle for 2D?C_m - Maximum Concentration Ratio?

Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio Example

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Here is how the Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio equation looks like with Values.

Here is how the Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio equation looks like with Units.

Here is how the Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio equation looks like.

48 = a \sin (\frac{1}{1.3456})

48° = a \sin (\frac{1}{1.3456})

48 = a \sin (\frac{1}{1.3456})

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Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio Solution

Follow our step by step solution on how to calculate Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio?

FIRST Step Consider the formula

θ a 2d = a \sin (\frac{1}{C m})

Next Step Substitute values of Variables

∴

θ a 2d = a \sin (\frac{1}{1.3456})

Next Step Prepare to Evaluate

∴

θ a 2d = a \sin (\frac{1}{1.3456})

Next Step Evaluate

∴

θ a 2d = 0.83775781778907rad

Next Step Convert to Output's Unit

∴

θ a 2d = 47.9999872134126°

LAST Step Rounding Answer

∴

θ a 2d = 48°

Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio Formula Elements

Variables

Functions

Acceptance Angle for 2D

Acceptance Angle for 2D is the range of angles at which a solar collector can effectively capture sunlight, maximizing energy absorption for optimal performance.

Symbol: θ_{a 2d}

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Acceptance Angle for 2D

Maximum Concentration Ratio

The Maximum Concentration Ratio is the highest ratio of concentrated solar energy to the incident solar energy, indicating the efficiency of solar collectors in harnessing sunlight.

Symbol: C_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Maximum Concentration Ratio

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other formulas in Concentrating Collectors category

Go Maximum possible concentration ratio of 2-D concentrator

C m = \frac{1}{\sin (θ a 2d)}

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 Inclination of reflectors

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

How to Evaluate Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio?

Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio evaluator uses Acceptance Angle for 2D = asin(1/Maximum Concentration Ratio) to evaluate the Acceptance Angle for 2D, The Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio formula is defined as the angle over which beam radiation may deviate from normal to the aperture plane and yet reach the observer. Acceptance Angle for 2D is denoted by θ_{a 2d} symbol.

How to evaluate Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio using this online evaluator? To use this online evaluator for Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio, enter Maximum Concentration Ratio (C_m) and hit the calculate button.

FAQs on Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio

What is the formula to find Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio?

The formula of Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio is expressed as Acceptance Angle for 2D = asin(1/Maximum Concentration Ratio). Here is an example- 2750.197 = asin(1/1.345633).

How to calculate Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio?

With Maximum Concentration Ratio (C_m) we can find Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio using the formula - Acceptance Angle for 2D = asin(1/Maximum Concentration Ratio). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

Can the Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio be negative?

Yes, the Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio, measured in Angle can be negative.

Which unit is used to measure Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio?

Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio can be measured.

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