While planning lighting for a machine assembly area, an engineer calculates the required number of luminaires. If the area is 60 square meters and the recommended illumination level is 300 lux, what is the total luminous flux required for the area?
18000 lumens
To determine the total luminous flux required for an area, we need to understand the relationship between illuminance, area, and luminous flux. Illuminance (measured in lux) is defined as the amount of luminous flux (in lumens) falling on a surface per unit area. Therefore, the formula to use is:
\(E = \frac{\Phi}{A}\)
Where:
- \(E\) = Illuminance in lux
- \(\Phi\) = Luminous flux in lumens
- \(A\) = Area in square meters
We are given:
- Area, \(A = 60 \, \text{m}^2\)
- Illuminance, \(E = 300 \, \text{lux}\)
We can rearrange the formula to solve for the luminous flux:
\(\Phi = E \times A\)
Substituting the given values:
\(\Phi = 300 \, \text{lux} \times 60 \, \text{m}^2 = 18000 \, \text{lumens}\)
Therefore, the total luminous flux required for the area is 18000 lumens.
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