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

STEP 0: Pre-Calculation Summary
Formula Used
Acceptance Angle for 2D = asin(1/Maximum Concentration Ratio)
θa 2d = asin(1/Cm)
This formula uses 2 Functions, 2 Variables
Functions Used
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., 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., asin(Number)
Variables Used
Acceptance Angle for 2D - (Measured in Radian) - Acceptance Angle for 2D 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
θa 2d = asin(1/Cm) --> asin(1/1.345633)
Evaluating ... ...
θa 2d = 0.83775781778907
STEP 3: Convert Result to Output's Unit
0.83775781778907 Radian -->47.9999872134126 Degree (Check conversion ​here)
FINAL ANSWER
47.9999872134126 47.99999 Degree <-- Acceptance Angle for 2D
(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
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Maximum possible concentration ratio of 2-D concentrator
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Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio Formula

​LaTeX ​Go
Acceptance Angle for 2D = asin(1/Maximum Concentration Ratio)
θa 2d = asin(1/Cm)

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 2-D Concentrator given Maximum Concentration Ratio?

Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio calculator uses Acceptance Angle for 2D = asin(1/Maximum Concentration Ratio) to calculate 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 θa 2d symbol.

How to calculate Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio using this online calculator? To use this online calculator for Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio, enter Maximum Concentration Ratio (Cm) and hit the calculate button. Here is how the Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio calculation can be explained with given input values -> 2750.197 = asin(1/1.345633).

FAQ

What is Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio?
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 and is represented as θa 2d = asin(1/Cm) or Acceptance Angle for 2D = asin(1/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.
How to calculate Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio?
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 is calculated using Acceptance Angle for 2D = asin(1/Maximum Concentration Ratio). To calculate Acceptance Angle of 2-D Concentrator given Maximum Concentration Ratio, you need Maximum Concentration Ratio (Cm). 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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