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

STEP 0: Pre-Calculation Summary
Formula Used
Acceptance Angle = asin(1/Maximum concentration ratio)
θa = 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 - (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
θa = asin(1/Cm) --> asin(1/1.5)
Evaluating ... ...
θa = 0.729727656226966
STEP 3: Convert Result to Output's Unit
0.729727656226966 Radian -->41.8103148957865 Degree (Check conversion ​here)
FINAL ANSWER
41.8103148957865 41.81031 Degree <-- Acceptance Angle
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by ADITYA RAWAT
DIT UNIVERSITY (DITU), Dehradun
ADITYA RAWAT has created this Calculator and 50+ more calculators!
Verifier Image
Verified by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
Ravi Khiyani has verified this Calculator and 300+ more calculators!

Concentrating Collectors Calculators

Inclination of reflectors
​ LaTeX ​ Go Inclination of Reflector = (pi-Tilt Angle-2*Latitude Angle+2*Declination Angle)/3
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))
Maximum possible concentration ratio of 2-D concentrator
​ LaTeX ​ Go Maximum concentration ratio = 1/sin(Acceptance Angle)

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

​LaTeX ​Go
Acceptance Angle = asin(1/Maximum concentration ratio)
θa = 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 = asin(1/Maximum concentration ratio) to calculate the Acceptance Angle, 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 is denoted by θa 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 -> 2395.555 = asin(1/1.5).

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 = asin(1/Cm) or Acceptance Angle = asin(1/Maximum concentration ratio). Maximum concentration ratio is the maximum value of the ratio of effective aperture area to absorber area.
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 = 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.
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 = (acos(1-2/Maximum concentration ratio))/2
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!