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Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio Formula

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

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Acceptance angle is defined as the angle over which beam radiation may deviate from normal to the aperture plane and yet reach the observer. Check FAQs

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

θ_a - Acceptance Angle?C_m - Maximum Concentration Ratio?

Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio Example

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Here is how the Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio equation looks like with Values.

Here is how the Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio equation looks like with Units.

Here is how the Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio equation looks like.

54.7356 = \frac{a \cos (1 - \frac{2}{1.5})}{2}

54.7356° = \frac{a \cos (1 - \frac{2}{1.5})}{2}

54.7356 = \frac{a \cos (1 - \frac{2}{1.5})}{2}

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Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio Solution

Follow our step by step solution on how to calculate Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

θ a = \frac{a \cos (1 - \frac{2}{1.5})}{2}

Next Step Prepare to Evaluate

∴

θ a = \frac{a \cos (1 - \frac{2}{1.5})}{2}

Next Step Evaluate

∴

θ a = 0.955316618124509rad

Next Step Convert to Output's Unit

∴

θ a = 54.7356103172556°

LAST Step Rounding Answer

∴

θ a = 54.7356°

Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio Formula Elements

Variables

Functions

Acceptance Angle

Acceptance angle is defined as the angle over which beam radiation may deviate from normal to the aperture plane and yet reach the observer.

Symbol: θ_a

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Acceptance Angle

Maximum Concentration Ratio

Maximum concentration ratio is the maximum value of the ratio of effective aperture area to absorber area.

Symbol: C_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Maximum Concentration Ratio

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

Other Formulas to find Acceptance Angle

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

θ a = a \sin (\frac{1}{C m})

Other formulas in Concentrating Collectors category

Go Maximum possible concentration ratio of 2-D concentrator

C m = \frac{1}{\sin (θ a)}

Go Maximum possible concentration ratio of 3-D concentrator

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

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 3-D Concentrator given Maximum Concentration Ratio?

Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio evaluator uses Acceptance Angle = (acos(1-2/Maximum Concentration Ratio))/2 to evaluate the Acceptance Angle, The Acceptance Angle of 3-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 is denoted by θ_a symbol.

How to evaluate Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio using this online evaluator? To use this online evaluator for Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio, enter Maximum Concentration Ratio (C_m) and hit the calculate button.

FAQs on Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio

What is the formula to find Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio?

The formula of Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio is expressed as Acceptance Angle = (acos(1-2/Maximum Concentration Ratio))/2. Here is an example- 3136.119 = (acos(1-2/1.5))/2.

How to calculate Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio?

With Maximum Concentration Ratio (C_m) we can find Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio using the formula - Acceptance Angle = (acos(1-2/Maximum Concentration Ratio))/2. This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

What are the other ways to Calculate Acceptance Angle?

Here are the different ways to Calculate Acceptance Angle-

Acceptance Angle=asin(1/Maximum Concentration Ratio)

Can the Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio be negative?

Yes, the Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio, measured in Angle can be negative.

Which unit is used to measure Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio?

Acceptance Angle of 3-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 3-D Concentrator given Maximum Concentration Ratio can be measured.

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