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Model
XG-C50XE
Pages
56
Size
1.09 MB
Type
PDF
Document
Handy Guide
Brand
Device
Projector / Version 1.5
File
xg-c50xe.pdf
Date

Sharp XG-C50XE Handy Guide ▷ View online

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Version 1.5
Issue 04/2006
21
SHARP ELECTRONICS (UK) LTD
PROJECTOR TECHNICAL SUPPORT
TECHNICAL SERVICES GROUP
AN-C12MZ
Throw ratio
1:1.18 to 1.48
NORMAL Mode (4:3)
Picture (Screen) size
Projection distance (L)
Diag. (X)
Width
Height
Maximum (L1)
Minimum (L2)
Distance from the
lens centre to the
bottom of the image
(H)
300" (762 cm)
240" (609.6cm)
180"(457.2 cm)
30' 5" (9.26 m)
24' 3" (7.38 m)
17 3 / 4" (45.1 cm)
250" (635 cm)
200" (508 cm)
150" (381 cm)
25' 4" (7.71 m)
20' 2" (6.14 m)
14 13 / 16" (37.6 cm)
200" (508 cm)
160" (406.4 cm)
120" (304.8 cm)
20' 3" (6.15 m)
16' 1" (4.89 m)
11 13 / 16" (30.0 cm)
150" (381 cm)
120" (304.8 cm)
90" (228.6 cm)
15' 2" (4.60 m)
12' (3.65 m)
8 7 / 8" (22.5 cm)
100" (254 cm)
80" (203.2 cm)
60" (152.4 cm)
10' (3.04 m)
7' 11" (2.41 m)
5 7 / 8" (15.0 cm)
84" (213.3 cm)
67" (170.1 cm)
50" (127 cm)
8' 4" (2.54 m)
6' 8" (2.02 m)
4 15 / 16" (12.6 cm)
72" (182.8 cm)
58" (147.3 cm)
43" (109.2 cm)
7' 2" (2.17 m)
5' 8" (1.72 m)
4 1 / 4" (10.8 cm)
60" (152.4 cm)
48" (121.9 cm)
36" (91.4 cm)
5'11" (1.80 m)
4' 8" (1.42 m)
3 9 / 16" (9.0 cm)
40" (101.6 cm)
32" (81.2 cm)
24" (60.9 cm)
3'11" (1.18 m)
3' 1" (0.92 m)
2 3 / 8" (6.0 cm)
The formula for picture size and projection distance
L1 (ft) = (0.0311X – 0.0676) / 0.3048
L2 (ft) = (0.0248X – 0.0693) / 0.3048
H (in) = (0.1504X – 0.0328) / 2.54
X: Picture size (diag.) (in)
L: Projection distance (ft)
L1: Maximum projection distance (ft)
L2: Minimum projection distance (ft)
H: Distance from the lens centre to the bottom of the image (in)
STRETCH Mode (16:9)
Picture (Screen) size
Projection distance (L)
Diag. (X)
Width
Height
Maximum (L1)
Minimum (L2)
Distance from the
lens centre to the
bottom of the image
(H)
300" (762 cm)
261" (662.9 cm)
147" (373.4 cm)
33' 2" (10.10 m)
26' 5" (8.04 m)
–5" (–12.7 cm)
250" (635 cm)
218" (553.7 cm)
123" (312.4 cm)
27' 7" (8.40 m)
22' (6.69 m)
–4 3 / 16"(–10.6 cm)
225" (571.5 cm)
196" (497.8 cm)
110" (279.4 cm)
24'10" (7.55 m)
19' 9" (6.01 m)
–3 3 / 4" (–9.5 cm)
200" (508 cm)
174" (441.9 cm)
98" (248.9 cm)
22' 1" (6.71 m)
17' 7" (5.34 m)
–3 3 / 8" (–8.5 cm)
150" (381 cm)
131" (332.7 cm)
74" (188 cm)
16' 6" (5.01 m)
13' 2" (3.99 m)
–2 1 / 2" (–6.4 cm)
133" (337.8 cm)
116" (294.6 cm)
65" (165.1 cm)
14' 7" (4.44 m)
11' 7" (3.53 m)
–2 3 / 16"(–5.6 cm)
106" (269.2 cm)
92" (233.6 cm)
52" (132 cm)
11' 7" (3.52 m)
9' 3" (2.80 m)
–1 3 / 4" (–4.5 cm)
100" (254 cm)
87" (220.9 cm)
49" (124.4 cm)
10'11" (3.32 m)
8' 8" (2.63 m)
–1 5 / 8" (–4.2 cm)
92" (233.6 cm)
80" (203.2 cm)
45" (114.3 cm)
10' 1" (3.05 m)
8' (2.42 m)
–1 9 / 16"(–3.9 cm)
84" (213.3 cm)
73" (185.4 cm)
41" (104.1 cm)
9' 2" (2.78 m)
7' 3" (2.20 m)
–1 7 / 16"(–3.6 cm)
72" (182.8 cm)
63" (160 cm)
35" (88.9 cm)
7'10" (2.37 m)
6' 3" (1.88 m)
–1 3 / 16"(–3.0 cm)
60" (152.4 cm)
52" (132 cm)
29" (73.6 cm)
6' 6" (1.97 m)
5' 2" (1.55 m)
–31 / 32"(–2.5 cm)
40" (101.6 cm)
35" (88.9 cm)
20" (50.8 cm)
4' 3" (1.29 m)
3' 4" (1.01 m)
–11 / 16"(–1.7 cm)
The formula for picture size and projection distance
L1 (ft) = (0.0339X – 0.0669) / 0.3048
L2 (ft) = (0.027X – 0.0683) / 0.3048
H (in) = (– 0.0424X + 0.0079) / 2.54
Note
• 
There is an error of ± 3% in the formula above.
• 
Values with a minus (–) sign indicate the distance of the lens centre below the bottom of the image.
Image Measurements
Version 1.5
Issue 04/2006
22
SHARP ELECTRONICS (UK) LTD
PROJECTOR TECHNICAL SUPPORT
TECHNICAL SERVICES GROUP
Projector Image Measurements
Throw Ratio
Positioning a projector is not just a simple case of installing the correct bracket to the ceiling
and hoping for the best. The type of lens that the projector has will affect how big the image
can be. The two most important considerations, in selecting the type of lens your projector
should have, are the desired image size and desired or available throw distance. These two
measurements can be used to calculate the lens ‘Throw Ratio’ that is needed. This is the
throw distance to screen width ratio.
All three measurements are directly related so knowing the throw ratio and desired screen
size, it is easy to determine the throw distance.
The simple calculation triangle below can be used:
So 
D=W x R
W=÷ R
R=÷ W
Example  A projector has a lens whose throw ratio is 0.9:1, the required screen width is
2m what is the throw distance?
D=W x R 
D = 2 x 0.9 = 1.8m
The Throw Ratio is given as 1.5 to 1.9:1, what does this mean?
In order to give more flexibility, most projectors have a zoom control. This allows the image to
be adjusted for size without moving the projector. The figures given here indicate that by
using the zoom control, throw ratios of 1.5:1 through to 1.9:1 can be achieved. 
The amount of zoom available is specified as a multiplier.
A quoted zoom value of 1-1.3x means that the image can be enlarged by up to 30% with the
zoom control.
THROW
DISTANCE
SCREEN
WIDTH
THROW
RATIO
D
W
R
Screen sizes are usually measured diagonally. As the throw ratio is determined from the
throw distance and screen width, the diagonal measurement should not be used in the
calculation.
Image Measurements
Version 1.5
Issue 04/2006
23
SHARP ELECTRONICS (UK) LTD
PROJECTOR TECHNICAL SUPPORT
TECHNICAL SERVICES GROUP
I know the diagonal screen size, how do I calculate the screen width?
Consider the following triangle in relation to your screen
The most common image format for CTV, PC and projected images is 4:3 (4 by 3). This is
also known as the image aspect ratio. This means that the height measurement is ¾ that of
the width. Using the 3-4-5 triangle rule, the diagonal measurement can be used to calculated
width.
Examples 
Diagonal = 10m Width = (Diagonal ÷ 5) x 4  = 10 ÷ 5 x 4 = 8m
Height = 6m   Width = (Height ÷ 3) x 4  = 6 ÷ 3 x 4 = 8m
Although 4:3 is a popular aspect ratio there are others:
5:4
Some PCs are able to produce SXGA images, which offer a resolution of 1280 dots
horizontally by 1024 dots vertically. This aspect ratio is 5:4 
16:9 and 21:9
The majority of DVD format films are now mastered in Wide-Screen format, of which there are
two popular aspect ratios; 16:9 and 21:9. Sometimes these ratios are quantified with respect
to 1, so expect to see 1.85:1 and 2.35:1 respectively.
Knowing the diagonal measurement, calculating the screen width with these other ratios can
be done in a similar manner.
For 5:4 (1.25:1) Width = (Diagonal ÷ 6.403) x 5
For 16:9 (1.78:1)
Width = (Diagonal ÷ 18.358) x 16
For 21:9 (2.35:1)
Width = (Diagonal ÷ 22.847) x 21
 
Focal Length
This is the distance between the display panel and the focal point. The focal length is usually
printed on the lens ring and is usually preceded with a lower case f. If it is a zoom lens then
two figures will be present, one each for the maximum and minimum zoom. eg. f=32.5-44mm.
This figure can be used to calculate the image size and throw distance values if the size of
the display panel is known. 
SCREEN WIDTH
SCREEN
HEIGHT
DIAGONAL
HEIGHT-WIDTH-DIAGONAL RATIO=3:4:5
Image Measurements
Version 1.5
Issue 04/2006
24
SHARP ELECTRONICS (UK) LTD
PROJECTOR TECHNICAL SUPPORT
TECHNICAL SERVICES GROUP
Display Panel
This is the physical component within the projector that creates the image. It can be either an
LCD panel or DMD device.
Calculating Image Size and Throw Distance using Focal Length 
If the throw ratio of the lens is not available then the focal length can be used to calculate the
image size or throw distance, however the dimensions of the display panel are needed.
To calculate the throw distance for a pre-defined image size:
Example
Calculate the throw distance required to give a 2.5m diagonal image. The focal length of the
lens is 44mm and the DMD panel is 20.32mm (Diag)
To calculate the image size from a set distance:
Example
Calculate the image size (diag) at a throw distance of 3m. Focal length is 63.8mm and the
LCD panel is 63.8mm (Diag)
Sharp will not accept liability for any errors caused by using this document. Sharp
recommends a site survey is always undertaken
.
f
Focal Length
Display Device
Screen
Focus
Lens
Zoom
Lens
Focal Length    x 
Image Size
Panel Size
Throw Dist
    x 
Panel Size
Focal Length
       44mm 
             x 
2500mm (diag)  =  5413mm  (5.413m)
20.32mm (diag)
 
3000mm 
        x      33.25mm (diag)  =  1563mm  (diag)  (1.563m)
63.8mm (diag)
Image and Panel Size must be of the same dimension. i.e. Image and Panel
diagonal measurement OR width measurement.
Page of 56
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