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The following excel file will calculate estimated V belt tension based on operator inp
This is Method 1 as described in the instructions for setting proper belt tensionThe governing equation is Ts = ((HP * K) / Q * (S/1000)) + Tc
User inputs the necessary information in column C
USER
INPUT VARIABLES INPUT
Driven Horsepower HP 10.00 HP
RPM of Driving Pulley RPM 1760.00 RPM
Pitch Diameter Driving Pulley d 9.25 in
Pitch Diameter of Driven Pulley D 19.50 in
Center Distance Between Pulleys C 19.50 in
Number of Belts Q 2.00
Select Appropriate Belt Type Note: See the procedfor a complete
Also see image
CALCULATIONS
(D-d)/C 0.53
K Factor K 28.27
Belt Span Length L 18.81 in
Belt Speed (ft/min) / 1000 S/1000 4.26536 (ft/min)/1000
Centrifugal Tension Add-On Value Tc 9.10 lbs
V Belt Tension per Belt Ts 42.2 lbs
Notes
The value of K is obtained by calculating the value of (D-d)/C and inputting into the curve fit function of the tabl
The value of Tc is obtained by calculating the value of S/1000 and inputting into the appropriate V belt curve fit
B or BX
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Standard V belts
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(C) Banded V belt
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t of specific data -
ure (Guidelines for Belt Tension - Vee Belts.doc)
isting/identification of various types of belts and their sizes.
s below
shown on Sheet 2
function of the applicable table shown on Sheet 3
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Table 29 Factors Table
Arc of Contact (D-d)/C K
180 0.000 24.750
179 0.017 24.843
178 0.035 24.937
177 0.052 25.032
176 0.070 25.129
175 0.087 25.227
174 0.105 25.326173 0.122 25.427
172 0.140 25.529
171 0.157 25.632
170 0.174 25.737
169 0.192 25.844
168 0.209 25.952
167 0.226 26.061
166 0.244 26.172
165 0.261 26.285
164 0.278 26.399
163 0.296 26.515
162 0.313 26.633161 0.330 26.752
160 0.340 26.873
159 0.364 26.996
158 0.382 27.120
157 0.399 27.247
156 0.416 27.375
155 0.433 27.505
154 0.450 27.638
153 0.467 27.772
152 0.484 27.908
151 0.501 28.046
150 0.518 28.187
149 0.534 28.329
148 0.551 28.474
147 0.568 28.621
146 0.585 28.771
145 0.601 28.992
144 0.618 29.076
143 0.635 29.233
142 0.651 29.39234.000
36.000
38.000
40.000
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141 0.668 29.553
140 0.684 29.718
139 0.700 29.884
138 0.717 30.054
137 0.733 30.226
136 0.749 30.402
135 0.765 30.580134 0.781 30.761
133 0.797 30.945
132 0.813 31.132
131 0.829 31.323
130 0.845 31.516
129 0.861 31.713
128 0.877 31.914
127 0.892 32.118
126 0.908 32.325
125 0.939 32.752
123 0.954 32.970
122 0.970 33.193121 0.985 33.420
120 1.000 33.651
119 1.015 33.886
118 1.030 34.126
117 1.045 34.370
116 1.060 34.618
115 1.075 34.871
114 1.089 35.130
113 1.104 35.393
112 1.118 35.661
111 1.133 35.934
110 1.147 36.213
109 1.161 36.497108 1.176 36.787
107 1.190 37.083
106 1.204 37.385
105 1.218 37.693
104 1.231 38.008
103 1.245 38.328
102 1.259 38.656
101 1.272 38.991
24.000
26.000
28.000
30.000
32.000
0.000
K
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v
K factor as function of (D-d)/C
K Poly. (K)
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K = 2.9348x4 - 3.2965x3 + 4.4327x2 + 4.8082x + 24.77
where x is the value of (D-d)/C
.200 0.400 0.600 0.800 1.000 1.200
(D-d)/C
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1.400
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Table 31 Tc Add-On Value
Table 31 - Value of Tc as function of belt speed/1000 and type of belt
Power Wedge Cog Belt Super Power Wedge Super Blue Ri
S (ft/min)/1000 3VX 5VX 8VX 5V 8V AP or AK
0.5 0.05 0.13 0.44 0.15 0.41 0.08
0.75 0.11 0.30 0.98 0.34 0.92 0.19
1 0.19 0.54 1.74 0.61 1.64 0.33
1.25 0.30 0.84 2.72 0.96 2.56 0.52
1.5 0.44 1.21 3.92 1.38 3.69 0.75
1.75 0.59 1.65 5.34 1.88 5.02 1.02
2 0.78 2.16 6.97 2.45 6.56 1.33
2.25 0.98 2.73 8.82 3.10 8.30 1.68
2.5 1.21 3.37 10.89 3.83 10.24 2.08
2.75 1.47 4.08 13.18 4.63 12.40 2.513 1.75 4.85 15.68 5.51 14.75 2.99
3.25 2.05 5.70 18.41 6.47 17.31 3.51
3.5 2.38 6.61 21.35 7.50 20.08 4.07
3.75 2.73 7.58 24.51 8.61 23.05 4.67
4 3.11 8.63 27.88 9.80 26.23 5.31
4.25 3.51 9.74 31.48 11.06 29.61 6.00
4.5 3.93 10.92 35.29 12.40 33.19 6.73
4.75 4.38 12.17 39.32 13.82 36.98 7.49
5 4.85 13.48 43.57 15.31 40.98 8.30
5.25 5.35 14.86 48.03 16.88 45.18 9.15
5.5 5.87 16.31 52.72 18.53 49.58 10.05
5.75 6.42 17.83 57.62 20.25 54.19 10.986 6.99 19.41 62.74 22.05 59.01 11.96
6.25 7.58 21.06 68.07 23.93 64.03 12.97
6.5 8.20 22.78 73.63 25.88 69.25 14.03
6.75 8.84 24.57 79.40 27.91 74.68 15.13
7 9.51 26.42 85.39 30.01 80.32 16.27
y = 7E-05x4 - 0.0011x3 + 0.1996x2 - 0.0099x + 0.0044y = 7E-05x4 - 0.0011x3 + 0.1996x2 - 0.0099x + 0.0044
1.00
2.00
3.00
4.00
5.00
6.00
7.008.00
9.00
10.00
Tc
3VX
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Tc = 7E-05x4 - 0.0011x3 + 0.1996x2 - 0.0099x + 0.0044
Tc = -0.0002x4 + 0.0024x3 + 0.5997x2 + 0.0252x - 0.0149
.0 1 2 3 4 5 6 7 8
S (fpm)/1000
y = -0.0002x4 + 0.0024x3 + 0.5997x2 + 0.0252x - 0.0149
0.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
0 1 2 3 4 5 6 7
Tc
S (fpm)/1000
5V
y = -8E-05x4 + 0.0012x3 + 0.3258x2 + 0.0129x - 0.0069
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
16.00
18.00
0 1 2 3 4 5 6 7
T
c
AP or AK
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Tc = -8E-05x4 + 0.0012x3 + 0.3258x2 + 0.0129x - 0.0069
y = -2E-05x4 + 0.0004x3 + 0.3045x2 + 0.0025x + 0.0007
The Following Listing are the Curve Functions From All The Curves On This Page
The Formulas are shown in column C and the values (depending on the belt speed S) are shown in column
V or Banded Belt Designator Curve Fit (Trend) Function From Tables/Curves
Single V Belt 3VX 7E-05x4 - 0.0011x3 + 0.1996x2 - 0.0099x + 0.0044
Single V Belt 5VX 3E-05x4 - 0.0003x3 + 0.5398x2 + 0.0024x - 0.0052
Single V Belt 8VX 4E-05x4 - 0.0007x3 + 1.7472x2 - 0.0102x + 0.0062
Single V Belt 5V -0.0002x4 + 0.0024x3 + 0.5997x2 + 0.0252x - 0.0149
Single V Belt 8V 2E-05x4 - 0.0002x3 + 1.6399x2 - 0.0003x - 0.0003
Single V Belt AP or AK -8E-05x4 + 0.0012x3 + 0.3258x2 + 0.0129x - 0.0069
Single V Belt BP or BK 3E-05x4 - 0.0003x3 + 0.5398x2 + 0.0024x - 0.0052
Single V Belt CP or CK -3E-05x4 + 0.0003x3 + 0.9872x2 - 0.0025x + 0.0045
Single V Belt DP 4E-05x4 - 0.0007x3 + 1.8715x2 - 0.0081x + 0.0057Single V Belt A or AX -2E-05x4 + 0.0004x3 + 0.3045x2 + 0.0025x + 0.0007
Single V Belt B or BX 0.0001x4 - 0.0017x3 + 0.5092x2 - 0.0175x + 0.0102
Single V Belt C or CX 6E-05x4 - 0.0008x3 + 0.8921x2 - 0.0048x + 0.0014
Single V Belt D or DX 0.0001x4 - 0.0017x3 + 1.9923x2 - 0.0138x + 0.0079
Banded Belt R3V 2E-05x4 - 6E-05x3 + 0.2534x2 + 0.1327x + 0.0103
Banded Belt R5V 1E-05x4 - 0.0001x3 + 0.66x2 + 0.3321x + 0.0358
Banded Belt R8V -2E-07x4 + 1E-05x3 + 0.1184x2 + 0.2386x + 0.1165
Banded Belt RBP -0.0002x4 + 0.0031x3 + 0.677x2 + 0.0201x - 0.0113
S (fpm)/1000
y = -2E-05x4 + 0.0004x3 + 0.3045x2 + 0.0025x + 0.0007
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
16.00
0 1 2 3 4 5 6 7
Tc
S (fpm)/1000
A or AX
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Banded Belt RCP -0.0042x4 + 0.0616x3 + 0.8755x2 + 0.4936x - 0.2378
Banded Belt RDP 9E-05x4 - 0.0013x3 + 2.1499x2 - 0.0089x - 0.0016
Banded Belt RBX -0.0003x4 + 0.0043x3 + 0.6208x2 + 0.0255x - 0.0108
Banded Belt RCX -0.0012x4 + 0.0184x3 + 0.959x2 + 0.1478x - 0.0663
Banded Belt RDX 0.0001x4 - 0.0018x3 + 2.2864x2 - 0.0139x + 0.0006
Table 31 - Value of Tc as function of belt speed/1000 and type of belt (these are banded belts)
Wedge Band Super Vee-Band
R3V R5V R8V RBP RCP RDP
0.5 0.06 0.16 0.47 0.17 0.29 0.540.75 0.14 0.37 1.07 0.39 0.66 1.21
1 0.25 0.65 1.90 0.68 1.15 2.10
1.25 0.40 1.03 2.97 1.08 1.82 3.35
1.5 0.57 1.48 4.27 1.55 2.62 4.82
1.75 0.78 2.02 5.81 2.11 3.57 6.57
2 1.02 2.64 7.59 2.76 4.66 8.58
2.25 1.29 3.34 9.61 3.49 5.90 10.85
2.5 1.59 4.12 11.86 4.31 7.28 13.40
2.75 1.92 4.99 14.35 5.22 8.81 16.21
3 2.29 5.94 17.08 6.21 10.48 19.29
3.25 2.69 6.97 20.05 7.29 12.30 22.64
3.5 3.12 8.08 23.25 8.45 14.27 26.26
3.75 3.58 9.28 26.69 9.71 16.38 30.154 4.07 10.56 30.37 11.04 18.63 34.30
4.25 4.60 11.92 34.28 12.47 21.04 38.72
4.5 5.15 13.36 38.43 13.98 23.58 43.41
4.75 5.74 14.89 42.82 15.57 26.28 48.37
5 6.36 16.50 47.45 17.25 29.12 53.60
5.25 7.01 18.19 52.31 19.02 32.10 59.09
5.5 7.70 19.96 57.41 20.88 35.23 64.85
5.75 8.41 21.82 62.75 22.88 38.51 70.88
6 9.16 23.76 68.33 24.85 41.93 77.18
6.25 9.94 25.78 74.14 26.96 46.49 83.74
6.5 10.75 27.88 80.19 29.16 49.21 90.58
6.75 11.60 30.07 86.47 31.45 53.06 97.687 12.47 32.34 93.00 33.82 57.07 105.05
R3V
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-0.0003x4 + 0.0043x3 + 0.6208x2 + 0.0255x - 0.0108
Below are the Sheet 1 backup calculations in case it gets inadvertantly deleted
CALCULATIONS
(D-d)/C #DIV/0!
K Factor K 24.77
Belt Span Len L 0.00 in
Belt Speed (ft/ S/1000 0 (ft/min)/1000
Centrifugal Te Tc 11.63 lbs
V Belt Tension Ts #VALUE! lbs
y = -0.0003x4 + 0.0043x3 + 0.6208x2 + 0.0255x - 0.0108
0.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
0 1 2 3 4 5 6 7
Tc
S (fpm/1000)
RBX
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bon & Aramax Gold Label Cog & Super II
BP or BK CP or CK DP AX or A BX or B CX or C DX or D
0.13 0.25 0.47 0.08 0.13 0.22 0.50
0.30 0.56 1.05 0.17 0.28 0.50 1.12
0.54 0.99 1.87 0.31 0.50 0.89 1.98
0.84 1.54 2.92 0.48 0.78 1.39 3.10
1.21 2.22 4.20 0.69 1.13 2.00 4.46
1.65 3.03 5.72 0.94 1.53 2.72 6.08
2.16 3.95 7.47 1.23 2.00 3.55 7.94
2.73 5.00 9.46 1.55 2.53 4.50 10.05
3.37 6.17 11.67 1.91 3.13 5.55 12.40
4.08 7.47 14.12 2.32 3.78 6.72 15.014.85 8.89 16.81 2.76 4.50 8.00 17.86
5.70 10.43 19.73 3.23 5.29 9.39 20.96
6.61 12.10 22.88 3.75 6.13 10.89 24.31
7.58 13.89 26.27 4.31 7.04 12.50 27.90
8.63 15.80 29.88 4.90 8.01 14.22 31.75
9.74 17.84 33.74 5.53 9.04 16.05 35.84
10.92 20.00 37.82 6.20 10.13 17.99 40.18
12.17 22.29 42.14 6.91 11.29 20.05 44.77
13.48 24.69 46.69 7.66 12.51 22.21 49.61
14.86 27.23 51.48 8.44 13.79 24.49 54.69
16.31 29.88 56.50 9.26 15.14 26.88 60.02
17.83 32.66 61.75 10.13 16.54 29.38 65.6019.41 35.56 67.24 11.03 18.01 31.99 71.43
21.06 38.59 72.96 11.96 19.55 34.71 77.51
22.78 41.73 78.91 12.94 21.14 37.54 83.83
24.57 45.01 85.10 13.95 22.80 40.49 90.41
26.42 48.40 91.52 15.01 24.52 43.54 97.23
y = 3E-05x4 - 0.0003x3 + 0.5398x2 + 0.0024x - 0.
5.00
10.00
15.00
20.00
25.00
30.00
Tc
5VX
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Tc = 3E-05x4 - 0.0003x3 + 0.5398x2 + 0.0024x - 0.0052
Tc =2E-05x4 - 0.0002x3 + 1.6399x2 - 0.0003x - 0.0003
.0 1 2 3 4 5 6
S (fpm)/1000
8
y = 2E-05x4 - 0.0002x3 + 1.6399x2 - 0.0003x -
0.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
90.00
0 1 2 3 4 5 6
Tc
S (fpm)/1000
8V
8
y = 3E-05x4 - 0.0003x3 + 0.5398x2 + 0.0024x - 0.0
0.00
5.00
10.00
15.00
20.00
25.00
30.00
T
c
BP or BK
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Tc = 3E-05x4 - 0.0003x3 + 0.5398x2 + 0.0024x - 0.0052
y = 0.0001x4 - 0.0017x3 + 0.5092x2 - 0.0175x + 0.0102
H
Curve Fit Value (Based on Belt Speed/1000)
3.531363472
9.791953872
31.70893915
11.12314973
29.82470612
6.042140425
9.8124276
17.96760875
33.952343415.575642473
9.100760463
16.16894457
36.09671949
5.188458323
13.45545123
3.292114983
12.56565884
S (fpm)/1000
8
y = 0.0001x4 - 0.0017x3 + 0.5092x2 - 0.0175x + 0.0102
0.00
5.00
10.00
15.00
20.00
25.00
30.00
0 1 2 3 4 5 6 7
Tc
S (fpm)/1000
B or BX
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21.18584795
39.00311361
11.6267501
19.04215339
41.43188119
Gold Label Cog-Band
RBX RCX RDX
0.16 0.26 0.570.36 0.59 1.28
0.63 1.05 2.25
1.00 1.64 3.56
1.44 2.36 5.12
1.96 3.21 6.97
2.55 4.19 9.11
3.23 5.31 11.53
3.99 6.56 14.23
4.83 7.93 17.22
5.75 9.43 20.50
6.74 11.07 24.06
7.82 12.84 27.90
8.96 14.47 32.0310.21 16.77 36.44
11.53 18.93 41.14
12.93 21.23 46.12
14.40 23.65 51.39
15.96 26.20 56.94
17.69 28.89 62.77
19.31 31.71 68.90
21.11 34.66 75.30
22.98 37.73 81.99
24.94 40.94 88.97
26.97 44.29 96.23
29.09 47.76 103.7731.28 51.36 111.60
R5V
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1E-05x4 - 0.0001x3 + 0.66x2 + 0.3321x + 0.0358
-0.0042x4 + 0.0616x3 + 0.8755x2 + 0.4936x - 0.2378
y = 1E-05x4 - 0.0001x3 + 0.66x2 + 0.3321x + 0.0358
0.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.00
0 1 2 3 4 5 6
Tc
S (fpm/1000)
8
8
y = -0.0042x4 + 0.0616x3 + 0.8755x2 + 0.4936x - 0.23
0.00
10.00
20.00
30.00
40.00
50.00
60.00
0 1 2 3 4 5 6
Tc
S (fpm/1000)
RCP
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-0.0012x4 + 0.0184x3 + 0.959x2 + 0.1478x - 0.0663
8
y = -0.0012x4 + 0.0184x3 + 0.959x2 + 0.1478x - 0.06
0.00
10.00
20.00
30.00
40.00
50.00
60.00
0 1 2 3 4 5 6
Tc
S (fpm/1000)
RCX
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Wedge Band Super Vee-Band Gold Label Cog-Band
R3V R5V R8V RBP RCP RDP RBX RCX RDX
0.06 0.16 0.47 0.17 0.29 0.54 0.16 0.26 0.57
0.14 0.37 1.07 0.39 0.66 1.21 0.36 0.59 1.28
0.25 0.65 1.90 0.68 1.15 2.10 0.63 1.05 2.25
0.40 1.03 2.97 1.08 1.82 3.35 1.00 1.64 3.56
0.57 1.48 4.27 1.55 2.62 4.82 1.44 2.36 5.12
0.78 2.02 5.81 2.11 3.57 6.57 1.96 3.21 6.97
1.02 2.64 7.59 2.76 4.66 8.58 2.55 4.19 9.11
1.29 3.34 9.61 3.49 5.90 10.85 3.23 5.31 11.53
1.59 4.12 11.86 4.31 7.28 13.40 3.99 6.56 14.23
1.92 4.99 14.35 5.22 8.81 16.21 4.83 7.93 17.222.29 5.94 17.08 6.21 10.48 19.29 5.75 9.43 20.50
2.69 6.97 20.05 7.29 12.30 22.64 6.74 11.07 24.06
3.12 8.08 23.25 8.45 14.27 26.26 7.82 12.84 27.90
3.58 9.28 26.69 9.71 16.38 30.15 8.96 14.47 32.03
4.07 10.56 30.37 11.04 18.63 34.30 10.21 16.77 36.44
4.60 11.92 34.28 12.47 21.04 38.72 11.53 18.93 41.14
5.15 13.36 38.43 13.98 23.58 43.41 12.93 21.23 16.12
5.74 14.89 42.82 15.57 26.28 48.37 14.40 23.65 51.39
6.36 16.50 47.45 17.25 29.12 53.60 15.96 26.20 56.94
7.01 18.19 52.31 19.02 32.10 59.09 17.69 28.89 62.77
7.70 19.96 57.41 20.88 35.23 64.85 19.31 31.71 68.90
8.41 21.82 62.75 22.88 38.51 70.88 21.11 34.66 75.309.16 23.76 68.33 24.85 41.93 77.18 22.98 37.73 81.99
9.94 25.78 74.14 26.96 46.49 83.74 24.94 40.94 88.97
10.75 27.88 80.19 29.16 49.21 90.58 26.97 44.29 96.23
11.60 30.07 86.47 31.45 53.06 97.68 29.09 47.76 103.77
12.47 32.34 93.00 33.82 57.07 105.05 31.28 51.36 111.60
0052 y = 4E-05x4 - 0.0007x3 + 1.7472x2
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
90.00
Tc
8VX
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Tc = 4E-05x4 - 0.0007x3 + 1.7472x2 - 0.0102x + 0.0062
7 80.00
0 1 2 3 4 5
S (fpm)/1000
0.0003
7 8
052
y = -3E-05x4 + 0.0003x3 + 0.9872xy = -3E-05x4 + 0.0003x3 + 0.9872x
0.00
10.00
20.00
30.00
40.00
50.00
60.00
Tc
CP or CK
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Tc = -3E-05x4 + 0.0003x3 + 0.9872x2 - 0.0025x + 0.004
Tc =6E-05x4 - 0.0008x3 + 0.8921x2 - 0.0048x + 0.0014
S (fpm)/1000
8
y = 6E-05x4 - 0.0008x3 + 0.89
0.00
5.00
10.0015.00
20.00
25.00
30.00
35.00
40.00
45.00
50.00
0 1 2 3 4 5
Tc
S (fpm)/1000
C or CX
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R8V
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-2E-07x4 + 1E-05x3 + 0.1184x2 + 0.2386x + 0.1165
9E-05x4 - 0.0013x3 + 2.1499x2 - 0.0089x - 0.0016
7 8
y = -2E-07x4 + 1E-05x3 + 0.1184x2 + 0.23
0.00
20.00
40.00
60.00
80.00
100.00
120.00
0 5 10 15 20
Tc
S (fpm/1000)
8
7 8
y = 9E-05x4 - 0.0013x3 + 2.1499x2 - 0.
0.00
20.00
40.00
60.00
80.00
100.00
120.00
0 1 2 3 4 5
Tc
S (fpm/1000)
RDP
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0.0001x4 - 0.0018x3 + 2.2864x2 - 0.0139x + 0.0006
63
7 8
y = 0.0001x4 - 0.0018x3 + 2.2864x2 - 0.
0.00
20.00
40.00
60.00
80.00
100.00
120.00
0 1 2 3 4 5
Tc
S (fpm/1000)
RDX
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6 7 8
2 - 0.0025x + 0.00452 - 0.0025x + 0.0045
y = 4E-05x4 - 0.0
0.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
90.00
100.00
0 1 2 3
T
c
DP
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Tc =4E-05x4 - 0.0007x3 + 1.8715x2 - 0.0081
Tc 0.0001x4 - 0.0017x3 + 1.9923x2 -
S (
1x2 - 0.0048x + 0.0014
6 7 8
y = 0.0001x4
0.00
20.00
40.00
60.00
80.00
100.00
120.00
0 1 2 3
Tc
S
D or
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6x + 0.1165
25 30
.0089x - 0.0016
6 7 8
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139x + 0.0006
6 7 8
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07x3 + 1.8715x2 - 0.0081x + 0.0057
4 5 6 7 8
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+ 0.0057
0.0138x + 0.0079
(fpm)/1000
- 0.0017x3 + 1.9923x2 - 0.0138x + 0.0079
4 5 6 7 8
(fpm)/1000
X
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