Question: A 30 ft by 40 ft classroom with 8 ft high ceilings will have an ambient lighting target illuminance of 70 fc at a work

A 30 ft by 40 ft classroom with 8 ft high ceilings will have an ambient lighting target illuminance of 70 fc at a work plane that is 28 in. above the floor. It is anticipated that the ceiling reflectance is 0.5 and the average wall reflectance is about 0.3. The space will be illuminated with recessed lay-in 2 ft x 4 ft open troffer luminaires with four lamps. The initial output of the fluorescent lamps is 2850 lumen. The light loss factor will be assumed to be 0.7.

   

Use the zonal cavity method to determine the minimum number of luminaires required to provide uniform illumination in the space.

   

Recessed Lay-in 2 ft x 4 ft Open Parabolic Troffer Luminaire (Two Fluorescent Lamp) Reflectance Coefficient of Utilization (CU Spacing Ceiling Cavity (e 80 70 50 2 Linear Tube Criteria Wall Surfaces (pw) 70 50 30 705030 50 30 Fluorescent Lamps (CS) Cavity Ratio (CR) 10 9 41 32 2640 30 25 29 25 44 .34 28 42 34 28 33.28 .47 .36.30 46 36 30 35 29 51 40 34 .50 40343934 55 46 39 .54 45 39 42 38 50 44.4742 65 56.50 64.56.5054 48 .70 64 .57 69 63 .56 60.56 78 71 66 .76 70 6768 .65 79 82 80 78 77 75 1.41 1.21 59 . 44 .58 4 84 81 Recessed Lay-in 2 ft x 4 ft Open Parabolic Troffer Luminaire (Three Fluorescent Lamp) Reflectance Coefficient of Utilization (CU Spacing Ceiling Cavity (pec) 80 70 50 3 Linear Tube Fluorescent Criteria Wall Surfaces (p70 50 30 70 5030 50 30 Lamps (CS) Cavity Ratio (CR) 39 29 .25 38 28.2328 .23 40 32 27 40 32 27 30 26 44 .34 29 42 34 28 34 28 .47 39.33 46.38 33.36 .32 5142 36.5041 1.4L . 36 40.35 56 46 4154 46 40 45 40 59 .53 46 58.52465046 65 58.54 64.57 53 5652 .70 66 61 .68 65 .60 63.59 77 75.71 .75 .72.70 69 68 4 Recessed Lay-in 2 ft x 4 ft Open Parabolic Troffer Luminaire (Four Fluorescent Lamp Reflectance Coefficient of Utilization (CU Spacing Ceiling Cavity (p) 80 70 50 4 Linear Tube Fluorescent | Criteria | Wall Surfaces (p) | 70 | 50 | 30 | 70 50 30 50 30 Lam (CS) Cavity Ratio (CR 10 35 28 .23 34 28.2327 .23 38 29 26 36 29 .25 28 25 .40 .33 28 40 32 28 32 27 .44 .35.30 42 34 30 34 29 46 .39 .34 46.39.34.38 .34 51 42 .39 48 4238 4.38 55 47 42 .53 46 424641 .58 54 48 .57 53 485147 .58 56.56.54 68 67 65 .67 65.6463 .60 7 1.41 4 64 59.56 61 Recessed Lay-in 2 ft x 4 ft Lensed Troffer Luminaire (Four Fluorescent Lam Reflectance Coefficient of Utilization (CU Spacing Ceiling Cavity () 80 70 Linear Tube Fluorescent Criteria Wall Surfaces (p70 50 30 70 503050 30 Lam (CS)Cavity Ratio (CR) 46 35 294435 2934 .28 49 38 31 47 37 31 36 31 .52 41 34 51413440.34 .56 45 38.544438 43.37 60 49 42 58 494247 .41 65 .55 48 63 5447.52 46 54 68 60 53 5752 76 .68 61 74 .66 61 64.59 83 76.71 81 .75 .70 72 .68 .90 86 838885 82 81 .79 7 1.41 4 

Recessed Lay-in 2 ft x 4 ft Open Parabolic Troffer Luminaire (Two Fluorescent Lamp) Coefficient of Utilization (CU) 70 50 2 Linear Tube Fluorescent Lamps 3 Linear Tube Fluorescent Lamps Spacing Criteria (CS) 4 Linear Tube Fluorescent Lamps 1.4L 1.2|| 4 Linear Tube Fluorescent Lamps Spacing Criteria (CS) 1.4L 1.2|| Spacing Criteria (CS) 1.41 1.2|| Reflectance. Ceiling Cavity (poc) Wall Surfaces (P) Cavity Ratio (CR) 10 10 Spacing Criteria (CS) 2 9 1.4L 1.2|| 0 8 7 6 5 4 3 2 1 Recessed Lay-in 2 ft x 4 ft Open Parabolic Troffer Luminaire (Three Fluorescent Lamp) Coefficient of Utilization (CU) 70 30 70 50 Reflectance Ceiling Cavity (poc) Wall Surfaces (P) Cavity Ratio (CR) 10 19 9 = 8 = 7 = 6 7 5 = 4 3 2 1 Reflectance Ceiling Cavity (poc) Wall Surfaces (1) Cavity Ratio (CR) 10 9 8 = 7 2 6 = 5 4 3 2 1 Recessed Lay-in 2 ft x 4 ft Open Parabolic Troffer Luminaire (Four Fluorescent Lamp) Coefficient of Utilization (CU) 70 50 Ceiling Cavity (cc) Wall Surfaces (P) Cavity Ratio (CR) 10 9 9 8 7 = 70 6 = 5 .41 .44 .47 .51 .55 .59 .65 .70 .78 .84 4 3 2 1 70 80 50 70 80 50 .39 .25 .40 .27 .44 .34 .29 Recessed Lay-in 2 ft x 4 ft Lensed Troffer Luminaire (Four Fluorescent Lamp) Reflectance 30 29 .32 70 .32 .26 .40 .30 .25 .29 .25 .34 .28 .42 .34 .28 .33 .28 .36 .30 .46 .36 .30 .35 .29 .40 .34 .50 50 .40 .34 ,39 .34 .46 .39 .54 .45 .39 .51 .44 .58 .50 .44 .56 .50 .64 .56 .50 .64 .57 .69 .63 .56 .71 .66 .76 .70 .67 .81 .79 .82 .80 .38 28 .40 .32 .42 .34 .47 .38 100 .39 .33 .46 .36 .50 S .56 .46 .41 .54 .51 .42 .59 .53 .46 .65 .58 .54 .70 .66 .61 .68 .77 .75 70 80 50 80 50 .58 .64 30 30 70 78 30 30 70 .35 .37 50 50 Coefficient of Utilization (CU) 70 50 .23 .28 .27 .30 .28 .34 .28 .33 .36 .32 .41 .36 .40 .35 179 .46 .40 .45 .40 52 .46 .50 46 .57 .53 .56 .52 .65 .60 .63 59 .71 .75 .72 .70 .69 .68 .42 .47 17 .54 .60 .68 .77 30 50 50 50 30 50 .35 28 .23 .34 28 .23 .27 .38 29 .26 .36 29 .25 .28 .40 .33 .28 .40 .32 .28 .32 .44 .35 .30 .42 34 .30 .34 .46 .39 .34 .46 .39 .34 .34 .38 OT .38 .41 .38 .51 .42 .39 .48 .41 42 .55 .47 .42 .53 .46 .42 .46 .58 .54 .48 .57 .53 .48 .51 .64 .59 .56 .61 .58 .56 .56 .68 .67 .65 .67 .65 .64 .63 .47 30 50 50 .29 .44 .29 .34 .31 .47 .31 .36 .34 .51 .41 .34 .40 .38 38 .42 .48 .56 .65 .75 30 23 26 30 .23 .25 .27 .29 .20 .54 .60 30 .46 35 .49 .38 .52 .41 .56 134 .44 .38 .43 39 .42 .58 .49 .42 .47 .54 .47 52 90 25 .45 .38 .54 .60 .49 .65 .55 .48 .63 .70 .61 .54 .68 .76 .68 .61 .74 .66 .83 .76 .71 .81 .75 .90 .86 .83 .88 .85 .60 .53 .57 .61 .64 .59 .70 .72 .68 .82 .81 .79 .28 .31 34 34 .37 or .41 KAL .46 52

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