Final answer:
The recommended distance between recessed lights in living areas with 10 foot ceilings can be determined using the inverse square law of illuminance. According to OSHA, a recommended illuminance for desktop lighting is 500 lx. By applying the formula (I1/I2) = (h2^2/h1^2), the new height can be calculated.
Step-by-step explanation:
The recommended distance between recessed lights in living areas with 10 foot ceilings can be determined by the illuminance level and the inverse square law of illuminance. According to OSHA, a recommended illuminance for desktop lighting is 500 lx. If we consider a reference illuminance of 300 lx for recessed lights at a height of 2.50 m, we can calculate the new height for achieving 500 lx using the inverse square law of illuminance.
Using the inverse square law of illuminance:
- Initial illuminance (I1) = 300 lx
- Final illuminance (I2) = 500 lx
- Initial height (h1) = 2.50 m
- New height (h2) = ?
The formula can be written as: (I1/I2) = (h2^2/h1^2)
Substituting the given values, we get:
(300/500) = (h2^2/(2.50^2))
Simplifying the equation, we find that the new height for achieving 500 lx is approximately 1.22 m.