Question

A room 10x5 m is illuminated by 15 lamps and each rated on 100 watt. the m.s.c.p. of each lamp is 150. assuming a depreciation factor of 1.2 and utilization factor of 0,65, find the average illumination produced on the floor

Answer 1

The average illumination on the floor of a 10x5 m room, illuminated by 15 lamps with m.s.c.p. of 150 each, is calculated using luminous flux, utilization factor, and depreciation factor divided by the room's area.

Step-by-step explanation:

The average illumination produced on the floor of a 10x5 m room with 15 lamps, each rated at 100 watts and with an m.s.c.p. (mean spherical candle power) of 150, can be calculated by taking into account the depreciation and utilization factors. To calculate the illumination (lux), the luminous flux (lumens) of each lamp is multiplied by the number of lamps and then adjusted for both factors. The formula used for this calculation is Illumination (lux) = Total Luminous Flux (lumens) × Utilization Factor ÷ Depreciation Factor / Area (m²).

First, calculate the total luminous flux by multiplying the m.s.c.p. by the number of lamps:
• Total Luminous Flux = 150 lumen × 15 lamps = 2250 lumens

Now apply the depreciation factor (1.2) and the utilization factor (0.65):
• Adjusted Luminous Flux = 2250 lumens × 1.2 × 0.65

Finally, divide by the room's area to find the illumination:
• Average Illumination = Adjusted Luminous Flux / (10 m × 5 m) = (2250 × 1.2 × 0.65) / 50 m²

Calculating the above gives us the average illumination on the floor.