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

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✖Maximum concentration ratio is the maximum value of the ratio of effective aperture area to absorber area.ⓘ Maximum Concentration Ratio [C_m]

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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.ⓘ Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio [θ_a]

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

STEP 0: Pre-Calculation Summary

Formula Used

Acceptance Angle = (acos(1-2/Maximum Concentration Ratio))/2
θ_a = (acos(1-2/C_m))/2
This formula uses 2 Functions, 2 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., acos(Number)

Variables Used

Acceptance Angle - (Measured in Radian) - Acceptance angle is defined as the angle over which beam radiation may deviate from normal to the aperture plane and yet reach the observer.
Maximum Concentration Ratio - Maximum concentration ratio is the maximum value of the ratio of effective aperture area to absorber area.

STEP 1: Convert Input(s) to Base Unit

Maximum Concentration Ratio: 1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_a = (acos(1-2/C_m))/2 --> (acos(1-2/1.5))/2

Evaluating ... ...

θ_a = 0.955316618124509

STEP 3: Convert Result to Output's Unit

0.955316618124509 Radian -->54.7356103172556 Degree (Check conversion here)

FINAL ANSWER

54.7356103172556 ≈ 54.73561 Degree <-- Acceptance Angle

(Calculation completed in 00.020 seconds)

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Maximum possible concentration ratio of 3-D concentrator

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Maximum possible concentration ratio of 2-D concentrator

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

LaTeX Go

Acceptance Angle = (acos(1-2/Maximum Concentration Ratio))/2
θ_a = (acos(1-2/C_m))/2

What is concentration ratio?

The concentration ratio is defined as the ratio of the effective area of aperture to the surface area of the absorber.

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

Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio calculator uses Acceptance Angle = (acos(1-2/Maximum Concentration Ratio))/2 to calculate 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 calculate Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio using this online calculator? To use this online calculator for Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio, enter Maximum Concentration Ratio (C_m) and hit the calculate button. Here is how the Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio calculation can be explained with given input values -> 3136.119 = (acos(1-2/1.5))/2.

FAQ

What is Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio?

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 and is represented as θ_a = (acos(1-2/C_m))/2 or Acceptance Angle = (acos(1-2/Maximum Concentration Ratio))/2. Maximum concentration ratio is the maximum value of the ratio of effective aperture area to absorber area.

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

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 is calculated using Acceptance Angle = (acos(1-2/Maximum Concentration Ratio))/2. To calculate Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio, you need Maximum Concentration Ratio (C_m). With our tool, you need to enter the respective value for Maximum Concentration Ratio 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 Acceptance Angle?

In this formula, Acceptance Angle uses Maximum Concentration Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

Acceptance Angle = asin(1/Maximum Concentration Ratio)

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