Solid Angle for Radiance Calculator

✖Surface Area for Radiance is a measure of the total area that the surface of the object occupies.ⓘ Surface Area for Radiance [dA]			+10% -10%
✖Angle for Radiance is the angle between the normal on the surface and the mean ray in the pencil being considered.ⓘ Angle for Radiance [φ]			+10% -10%
✖Distance for Radiance is a numerical or occasionally qualitative measurement of how far apart objects or points are.ⓘ Distance for Radiance [a]			+10% -10%

✖Solid Angle for Radiance is a measure of the amount of the field of view from some particular point that a given object covers.ⓘ Solid Angle for Radiance [dω]

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Formula

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Solid Angle for Radiance

Formula

`"dω" = ("dA"*cos("φ"))/("a"^2)`

Example

`"0.017674rad"=("25m²"*cos("30°"))/(("35m")^2)`

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Solid Angle for Radiance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Solid Angle for Radiance = (Surface Area for Radiance*cos(Angle for Radiance))/(Distance for Radiance^2)
dω = (dA*cos(φ))/(a^2)
This formula uses 1 Functions, 4 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)

Variables Used

Solid Angle for Radiance - (Measured in Radian) - Solid Angle for Radiance is a measure of the amount of the field of view from some particular point that a given object covers.
Surface Area for Radiance - (Measured in Square Meter) - Surface Area for Radiance is a measure of the total area that the surface of the object occupies.
Angle for Radiance - (Measured in Radian) - Angle for Radiance is the angle between the normal on the surface and the mean ray in the pencil being considered.
Distance for Radiance - (Measured in Meter) - Distance for Radiance is a numerical or occasionally qualitative measurement of how far apart objects or points are.

STEP 1: Convert Input(s) to Base Unit

Surface Area for Radiance: 25 Square Meter --> 25 Square Meter No Conversion Required
Angle for Radiance: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Distance for Radiance: 35 Meter --> 35 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dω = (dA*cos(φ))/(a^2) --> (25*cos(0.5235987755982))/(35^2)

Evaluating ... ...

dω = 0.0176739878323355

STEP 3: Convert Result to Output's Unit

0.0176739878323355 Radian --> No Conversion Required

FINAL ANSWER

0.0176739878323355 ≈ 0.017674 Radian <-- Solid Angle for Radiance

(Calculation completed in 00.004 seconds)

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Created by Sangita Kalita

National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur

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National University of Judicial Science (NUJS), Kolkata

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Go Solid Angle for Radiance = (Surface Area for Radiance*cos(Angle for Radiance))/(Distance for Radiance^2)

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Radiant Flux

Go Radiant Flux = Radiant Intensity*Solid Angle for Radiance

Solid Angle for Radiance Formula

Solid Angle for Radiance = (Surface Area for Radiance*cos(Angle for Radiance))/(Distance for Radiance^2)
dω = (dA*cos(φ))/(a^2)

What is radiant flux?

The primary concept is that of the radiant flux of a source, that is, the amount of radiant energy emitted into space in unit time. Usually, we consider only a fraction of the total flux, namely the flux within a relatively small solid angle in the direction of observation, for example, the flux that reaches the dispersing medium or the detecting system.

How to Calculate Solid Angle for Radiance?

Solid Angle for Radiance calculator uses Solid Angle for Radiance = (Surface Area for Radiance*cos(Angle for Radiance))/(Distance for Radiance^2) to calculate the Solid Angle for Radiance, Solid Angle for Radiance formula is defined as the flux flowing from a point source Q to a surface of area dA at the (mean) distance a from Q is proportional to the solid angle. Solid Angle for Radiance is denoted by dω symbol.

How to calculate Solid Angle for Radiance using this online calculator? To use this online calculator for Solid Angle for Radiance, enter Surface Area for Radiance (dA), Angle for Radiance (φ) & Distance for Radiance (a) and hit the calculate button. Here is how the Solid Angle for Radiance calculation can be explained with given input values -> 0.017674 = (25*cos(0.5235987755982))/(35^2).

FAQ

What is Solid Angle for Radiance?

Solid Angle for Radiance formula is defined as the flux flowing from a point source Q to a surface of area dA at the (mean) distance a from Q is proportional to the solid angle and is represented as dω = (dA*cos(φ))/(a^2) or Solid Angle for Radiance = (Surface Area for Radiance*cos(Angle for Radiance))/(Distance for Radiance^2). Surface Area for Radiance is a measure of the total area that the surface of the object occupies, Angle for Radiance is the angle between the normal on the surface and the mean ray in the pencil being considered & Distance for Radiance is a numerical or occasionally qualitative measurement of how far apart objects or points are.

How to calculate Solid Angle for Radiance?

Solid Angle for Radiance formula is defined as the flux flowing from a point source Q to a surface of area dA at the (mean) distance a from Q is proportional to the solid angle is calculated using Solid Angle for Radiance = (Surface Area for Radiance*cos(Angle for Radiance))/(Distance for Radiance^2). To calculate Solid Angle for Radiance, you need Surface Area for Radiance (dA), Angle for Radiance (φ) & Distance for Radiance (a). With our tool, you need to enter the respective value for Surface Area for Radiance, Angle for Radiance & Distance for Radiance 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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