Alferd Posted April 24, 2023 Share Posted April 24, 2023 There are a place installed eclipse shape of mirror to reflect the sunlight to the area that is not enough sunlight in the town. In this case, they installed 51 square meter mirror and provide the sunlight to the area of 600 square meter with the mirror located 450 meter above the town. Can I know what is the formula to calculate the area of sunlight reflection? https://www.visitnorway.com/listings/the-giant-sun-mirrors-in-rjukan/3632/ Link to comment Share on other sites More sharing options...
exchemist Posted April 24, 2023 Share Posted April 24, 2023 42 minutes ago, Alferd said: There are a place installed eclipse shape of mirror to reflect the sunlight to the area that is not enough sunlight in the town. In this case, they installed 51 square meter mirror and provide the sunlight to the area of 600 square meter with the mirror located 450 meter above the town. Can I know what is the formula to calculate the area of sunlight reflection? https://www.visitnorway.com/listings/the-giant-sun-mirrors-in-rjukan/3632/ I'm not quite sure what you want to know. Do you mean a formula for the rate of divergence of the beam? That's obvious, surely, if it grows from 51m² to 600m² , i.e. a factor of 11.6, over the course of 450m? Or do you want to know why it diverges at that rate? That would be more complicated - some function of the shape of the mirrors, I imagine. Link to comment Share on other sites More sharing options...
Genady Posted April 24, 2023 Share Posted April 24, 2023 1 hour ago, Alferd said: There are a place installed eclipse shape of mirror to reflect the sunlight to the area that is not enough sunlight in the town. In this case, they installed 51 square meter mirror and provide the sunlight to the area of 600 square meter with the mirror located 450 meter above the town. Can I know what is the formula to calculate the area of sunlight reflection? https://www.visitnorway.com/listings/the-giant-sun-mirrors-in-rjukan/3632/ What is "eclipse shape of mirror"? In the article, the mirrors appear to be flat. Link to comment Share on other sites More sharing options...
Alferd Posted April 24, 2023 Author Share Posted April 24, 2023 Thank you for your quick reply. I want to know the formula of the rate of divergence of the beam. Link to comment Share on other sites More sharing options...
Genady Posted April 24, 2023 Share Posted April 24, 2023 Some clarifications here: optics - Is light dispersed over distance by flat mirrors? - Physics Stack Exchange Link to comment Share on other sites More sharing options...
swansont Posted April 24, 2023 Share Posted April 24, 2023 Light doesn’t need to diverge for this implementation. A 1 m^2 non-diverging beam projected on to the ground will cover more than that area if the angle isn’t 90 degrees. Probably by 1/sin(theta) Link to comment Share on other sites More sharing options...
exchemist Posted April 24, 2023 Share Posted April 24, 2023 4 hours ago, Alferd said: Thank you for your quick reply. I want to know the formula of the rate of divergence of the beam. @swansont is quite right of course: I wasn’t thinking. We need more information. What is the shape of the mirrors, what is the shape and dimensions of the 600sq m illuminated area and what is the angle of the beam to the ground? Is a diagram available? Link to comment Share on other sites More sharing options...
Genady Posted April 24, 2023 Share Posted April 24, 2023 Perhaps, the pictures here, Giant Sun Mirrors of Rjukan – Rjukan, Norway - Atlas Obscura, give the idea. The mirrors are flat, and the light spot is not big. More story and pictures here: The dark town that built a giant mirror to deflect the Sun - BBC Future. Link to comment Share on other sites More sharing options...
Alferd Posted April 24, 2023 Author Share Posted April 24, 2023 I think this mirror should be convex mirror with the total area 51 square meters of three giant mirror Link to comment Share on other sites More sharing options...
Genady Posted April 25, 2023 Share Posted April 25, 2023 1 hour ago, Alferd said: I think this mirror should be convex mirror with the total area 51 square meters of three giant mirror If the mirrors were convex it would show in this picture: Link to comment Share on other sites More sharing options...
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