Sharp NP-PH3501QL Installation Guide - NEC - Page 3

Distance Chart for popular 16:9 Screens (UHD = 3840x2160), Desktop and Ceiling Mount

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Sharp NEC Display Solutions of America, Inc. PH3501QL Installation Guide Desktop and Ceiling Mount Rev 1.0 Formulas: 16:9 Aspect Ratio (UHD = 3840x2160) The Projection Formulas use the image width for calculation. Image width is the same for all aspect ratios, only vertical image size varies. For proper projector placement, determine the image width for a desired screen size. Use the Screen Formulas below to calculate all screen dimensions. Plug in the image width for "W" in the Projection Formulas. Refer to the diagrams and charts for popular screen sizes on page 2 and 3: Projection Formulas: L2K-10F1: C(Wide) = 0.999W - 3.988 L4K-11ZM: C(Wide) = 1.343W - 4.327 ------ C(Tele) = 1.854W - 3.937 L4K-15ZM: C(Wide) = 1.632W - 4.382 ------ C(Tele) = 2.257W - 3.488 L4K-20ZM: C(Wide) = 2.089W + 10.012 ------ C(Tele) = 3.550W + 10.488 L2K-30ZM: C(Wide) = 2.917W - 9.189 ------ C(Tele) = 4.219W - 12.358 L2K-43ZM1: C(Wide) = 4.201W - 11.906 ------ C(Tele) = 5.929W - 15.831 L2K-55ZM1: C(Wide) = 5.363W - 13.520 ------ C(Tele) = 8.393W - 17.862 Definitions: W = Image Width H = Image Height (size) C = Throw distance 16:9 Screen Formulas W = H x 16/9 H = W x 9/16 Screen Diagonal = W x 18.378/16 Distance Chart for popular 16:9 Screens (UHD = 3840x2160) Screen Size (16:9) Diagonal Width(W) Height (H) inches inches inches 110 96 54 131 114 64 161 140 79 192 167 94 226 197 111 259 225 127 292 254 143 324 282 159 400 348 196 500 435 245 1000 871 490 L2K-10F1 0.93:1 inches 91.7 - N/A 109.9 - N/A 136.0 - N/A 163.0 - N/A 192.6 - N/A 221.3 - N/A 250.0 - N/A 277.8 - N/A 343.9 - N/A 430.9 - N/A 865.7 - N/A L4K-11ZM 1.24-1.73-1 inches 124.3 - 173.6 148.8 - 207.5 183.9 - 255.9 220.2 - 306.0 259.9 - 360.9 298.5 - 414.1 337.1 - 467.4 374.5 - 519.0 463.4 - 641.7 580.3 - 803.1 1164.9 - 1610.2 L4K-15ZM 1.52-2.10:1 inches 151.9 - 212.7 181.7 - 253.9 224.4 - 312.9 268.4 - 373.8 316.7 - 440.6 363.6 - 505.4 410.5 - 570.3 456.0 - 633.2 563.9 - 782.5 706.0 - 979.0 1416.4 - 1961.5 Zoom Lenses L4K-20ZM 1.98-3.34:1 inches 210.1 - 350.5 248.3 - 415.4 302.8 - 508.1 359.2 - 603.9 421.0 - 709.0 481.1 - 811.0 541.1 - 913.0 599.3 - 1011.9 737.5 - 1246.7 919.4 - 1555.8 1828.7 - 3101.1 L2K-30ZM 2.71-3.92:1 inches 270.2 - 391.68 323.5 - 468.82 399.7 - 579.01 478.4 - 692.87 564.8 - 817.76 648.6 - 938.97 732.4 - 1060.2 813.6 - 1177.7 1006.6 - 1456.9 1260.6 - 1824.2 2530.4 - 3660.7 L2K-43ZM1 3.91-5.52:1 inches 390.4 - 551.97 467.2 - 660.37 576.9 - 815.22 690.3 - 975.24 814.7 - 1150.7 935.4 - 1321.1 1056.1 - 1491.4 1173.1 - 1656.6 1451.1 - 2048.9 1816.8 - 2565.1 3645.5 - 5146 L2K-55ZM1 4.99-7.82:1 inches 500.1 - 785.91 598.1 - 939.35 738.2 - 1158.6 882.9 - 1385.1 1041.7 - 1633.5 1195.8 - 1874.7 1349.8 - 2115.8 1499.3 - 2349.6 1854.1 - 2904.9 2321.0 - 3635.6 4655.5 - 7289.1 www.sharpnecdisplays.us PH3501QL Page 3 of 11

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Sharp NEC Display Solutions of America, Inc.
PH3501QL Installation Guide
Rev 1.0
Desktop and Ceiling Mount
www.sharpnecdisplays.us
PH3501QL
Page 3 of 11
Formulas: 16:9 Aspect Ratio
(UHD = 3840x2160)
The Projection Formulas use the image width for calculation. Image width is the same for all aspect ratios, only vertical image size
varies. For proper projector placement, determine the image width for a desired screen size. Use the Screen Formulas below to
calculate all screen dimensions. Plug in the image width for “W” in the Projection Formulas.
Refer to the diagrams and charts for popular screen sizes on page 2 and 3:
Projection Formulas:
Definitions:
16:9 Screen Formulas
L2K-10F1:
C
(Wide) = 0.999W – 3.988
W = Image Width
W = H x 16/9
L4K-11ZM:
C
(Wide) = 1.343W – 4.327
------
C
(Tele) = 1.854W – 3.937
H = Image Height (size)
H = W x 9/16
L4K-15ZM:
C
(Wide) = 1.632W – 4.382
------
C
(Tele) = 2.257W – 3.488
C = Throw distance
Screen Diagonal = W x 18.378/16
L4K-20ZM:
C
(Wide) = 2.089W + 10.012
------
C
(Tele) = 3.550W + 10.488
L2K-30ZM:
C
(Wide) = 2.917W - 9.189
------
C
(Tele) = 4.219W - 12.358
L2K-43ZM1:
C(Wide) = 4.201W - 11.906
------
C(Tele) = 5.929W – 15.831
L2K-55ZM1:
C(Wide) = 5.363W - 13.520
------
C(Tele) = 8.393W – 17.862
Distance Chart for popular 16:9 Screens (UHD = 3840x2160)
Diagonal
Width(W)
Height (H)
inches
inches
inches
110
96
54
91.7 -
N/A
124.3 - 173.6
151.9 - 212.7
210.1 - 350.5
270.2
-
391.68
390.4
-
551.97
500.1
-
785.91
131
114
64
109.9 -
N/A
148.8 - 207.5
181.7 - 253.9
248.3 - 415.4
323.5
-
468.82
467.2
-
660.37
598.1
-
939.35
161
140
79
136.0 -
N/A
183.9 - 255.9
224.4 - 312.9
302.8 - 508.1
399.7
-
579.01
576.9
-
815.22
738.2
-
1158.6
192
167
94
163.0 -
N/A
220.2 - 306.0
268.4 - 373.8
359.2 - 603.9
478.4
-
692.87
690.3
-
975.24
882.9
-
1385.1
226
197
111
192.6 -
N/A
259.9 - 360.9
316.7 - 440.6
421.0 - 709.0
564.8
-
817.76
814.7
-
1150.7
1041.7
-
1633.5
259
225
127
221.3 -
N/A
298.5 - 414.1
363.6 - 505.4
481.1 - 811.0
648.6
-
938.97
935.4
-
1321.1
1195.8
-
1874.7
292
254
143
250.0 -
N/A
337.1 - 467.4
410.5 - 570.3
541.1 - 913.0
732.4
-
1060.2
1056.1
-
1491.4
1349.8
-
2115.8
324
282
159
277.8 -
N/A
374.5 - 519.0
456.0 - 633.2
599.3 - 1011.9
813.6
-
1177.7
1173.1
-
1656.6
1499.3
-
2349.6
400
348
196
343.9 -
N/A
463.4 - 641.7
563.9 - 782.5
737.5 - 1246.7
1006.6
-
1456.9
1451.1
-
2048.9
1854.1
-
2904.9
500
435
245
430.9 -
N/A
580.3 - 803.1
706.0 - 979.0
919.4 - 1555.8
1260.6
-
1824.2
1816.8
-
2565.1
2321.0
-
3635.6
1000
871
490
865.7 -
N/A
1164.9 - 1610.2
1416.4 - 1961.5
1828.7 - 3101.1
2530.4
-
3660.7
3645.5
-
5146
4655.5
-
7289.1
Screen Size (16:9)
1.98-3.34:1
L2K-10F1
L4K-11ZM
L4K-15ZM
L4K-20ZM
2.71-3.92:1
inches
inches
inches
L2K-43ZM1
3.91-5.52:1
inches
L2K-55ZM1
4.99-7.82:1
inches
Zoom Lenses
0.93:1
1.24-1.73-1
inches
inches
1.52-2.10:1
L2K-30ZM