Question

A radiation detector has an aperture of area $A_d = 10^{-6} m^2$ and is positioned at a distance of $r = 2 m$ from a surface of area $A_s = 10^{-4} m^2$. The angle formed by the normal to the detector and the surface normal is $\theta = 25^\circ$. The surface is at 470 K and is opaque, diffuse, and gray with an emissivity of 0.8. If the surface irradiation is 2500 W/m$^2$, what is the rate at which the detector intercepts radiation from the surface, in W? $q_{s-d} = $

          A radiation detector has an aperture of area $A_d = 10^{-6} m^2$ and is positioned at a distance of $r = 2 m$ from a surface of area $A_s = 10^{-4} m^2$. The angle formed by the normal to the detector and the surface normal is $\theta = 25^\circ$.
The surface is at 470 K and is opaque, diffuse, and gray with an emissivity of 0.8. If the surface irradiation is 2500 W/m$^2$, what is the rate at which the detector intercepts radiation from the surface, in W?
$q_{s-d} = $

A radiation detector has an aperture of area Ad = 10^-6 m^2 and is positioned at a distance of r = 2 m from a surface of area As = 10^-4 m^2. The angle formed by the normal to the detector and the surface normal is θ = 25^∘.
The surface is at 470 K and is opaque, diffuse, and gray with an emissivity of 0.8. If the surface irradiation is 2500 W/m^2, what is the rate at which the detector intercepts radiation from the surface, in W?
qs-d =

Added by Alejandra L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

04/18/2023

Step 1

The solid angle (Ω) subtended by the surface at the detector can be calculated using the formula: Ω = A / r² where A is the area of the surface and r is the distance between the surface and the detector. Given that A = 10⁻⁴ m² and r = 2 m, we can substitute Show more…

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Text: Heat Transfer A radiation detector has an aperture of area A = 10 m² and is positioned at a distance of r = 2 m from a surface of area A = 10⁻⁴ m². The angle formed by the normal to the detector and the surface normal is θ = 25°. The surface is at 470 K and is opaque, diffuse, and gray with an emissivity of 0.8. If the surface irradiation is 2500 W/m², what is the rate at which the detector intercepts radiation from the surface in W? 9s - d = ? W