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

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✖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.ⓘ Maximum Concentration Ratio [C_m]

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✖Acceptance Angle for 3D is the range of angles at which a solar collector can effectively capture sunlight, maximizing energy absorption for optimal performance.ⓘ Acceptance Angle of 3-D Concentrator given Maximum Concentration Ratio [θ_{a 3d}]

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

STEP 0: Pre-Calculation Summary

Formula Used

Acceptance Angle for 3D = (acos(1-2/Maximum Concentration Ratio))/2
θ_{a 3d} = (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 for 3D - (Measured in Radian) - Acceptance Angle for 3D is the range of angles at which a solar collector can effectively capture sunlight, maximizing energy absorption for optimal performance.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Concentration Ratio: 1.345633 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_{a 3d} = (acos(1-2/C_m))/2 --> (acos(1-2/1.345633))/2

Evaluating ... ...

θ_{a 3d} = 1.03931723120455

STEP 3: Convert Result to Output's Unit

1.03931723120455 Radian -->59.5484909232544 Degree (Check conversion here)

FINAL ANSWER

59.5484909232544 ≈ 59.54849 Degree <-- Acceptance Angle for 3D

(Calculation completed in 00.004 seconds)

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Useful heat gain in concentrating collector

LaTeX Go Useful Heat Gain = Effective Area of Aperture*Solar Beam Radiation-Heat Loss from Collector

Maximum possible concentration ratio of 3-D concentrator

LaTeX Go Maximum Concentration Ratio = 2/(1-cos(2*Acceptance Angle for 3D))

Maximum possible concentration ratio of 2-D concentrator

LaTeX Go Maximum Concentration Ratio = 1/sin(Acceptance Angle for 2D)

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

LaTeX Go

Acceptance Angle for 3D = (acos(1-2/Maximum Concentration Ratio))/2
θ_{a 3d} = (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 for 3D = (acos(1-2/Maximum Concentration Ratio))/2 to calculate the Acceptance Angle for 3D, 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 for 3D is denoted by θ_{a 3d} 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 -> 3411.877 = (acos(1-2/1.345633))/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 3d} = (acos(1-2/C_m))/2 or Acceptance Angle for 3D = (acos(1-2/Maximum Concentration Ratio))/2. 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.

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 for 3D = (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.

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