Lumen (lm) is the SI derived unit of luminous flux, which measures the total amount of light emitted by a source in all directions. Lux (lx) is the SI derived unit of illuminance, which measures the amount of light that falls on a surface area.

The formula for converting lumens to lux is:

\[E = \frac{\Phi}{A}\]Where:

- \(E\) = Illuminance (lux)
- \(\Phi\) = Luminous flux (lumens)
- \(A\) = Area (square meters)

- Identify the luminous flux in lumens (\(\Phi\)) and the area in square meters (\(A\)).
- If the area is given in square feet, convert it to square meters by multiplying by 0.092903.
- Apply the formula: \(E = \frac{\Phi}{A}\).
- The result is the illuminance in lux (\(E\)).

Let's calculate the illuminance for a light source with 1000 lumens over an area of 100 square feet:

- \(\Phi = 1000 \text{ lm}\), \(A = 100 \text{ ft}^2\)
- Convert area to square meters: \(100 \text{ ft}^2 \times 0.092903 = 9.2903 \text{ m}^2\)
- \[\begin{align} E &= \frac{\Phi}{A} \\ &= \frac{1000 \text{ lm}}{9.2903 \text{ m}^2} \\ &\approx 107.64 \text{ lux} \end{align}\]

This diagram illustrates how 1000 lumens of light spread over an area of 9.2903 square meters results in an illuminance of approximately 107.64 lux. The yellow circle represents the distribution of light, with the lumen value at the center and the resulting lux value at the bottom.

We can create a free, personalized calculator just for you!

Contact us and let's bring your idea to life.

Category
Loan
Tax
Interest
Investment
Profit & Loss
Credit and Debt Planning
Algebra
Statistics
Matrix
Number
Plane Geometry
Solid Geometry
Trigonometry
Construction
Analytic Geometry
Math graphing
Color Converter
Numeral system
Unit
Energy
Temperature
Power
Frequency
Charge
Voltage
Lighting
Classic Physic
Electronic
Engineering
Chemistry
Electrical
Date
Time
Commemorative days
Observance days
Health and medicine
Family and Fun
Weather
Webmaster tools