Cálculo De F80 Y P80 3x6r3p
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CÁLCULO DE F80 Y P80 MALLA PESO TEYLE MICROMETR ALIMENTA PRODUCT C R OS O
%A
%P
ACUMULAD ACUMULAD RETENID O O RETENIDO O ALIMENTA ALIMENTA PRODUCT LOG(x LOG(Y1 LOG(Y2 PRODUCTO CI C O ) ) )
4
4760
62
0
12.4
12.4
87.6
100
3.6776
1.9425
2.0000
6
3360
85
0
17
29.4
70.6
100
3.5263
1.8488
2.0000
8
2380
103
0
20.6
0
50
0
50
100
3.3766
1.6990
2.0000
12
1410
126
8
25.2
1.6
75.2
1.6
24.8
98.4
3.1492
1.3945
1.9930
16
1000
54
25
10.8
5
86
6.6
14
93.4
3.0000
1.1461
1.9703
20
841
38
48
7.6
9.6
93.6
16.2
6.4
83.8
2.9248
0.8062
1.9232
28
595
20
75
4
15
97.6
31.2
2.4
68.8
2.7745
0.3802
1.8376
35
420
12
104
2.4
20.8
100
52
0
48
2.6232
-
1.6812
48
297
0
86
0
17.2
100
69.2
30.8
2.4728
1.4886
65
210
0
65
13
100
82.2
17.8
2.3222
1.2504
100
144
0
44
8.8
100
91
9
2.1584
0.9542
150
105
0
28
5.6
100
96.6
3.4
2.0212
0.5315
200
74
0
14
2.8
100
99.4
0.6
1.8692
-0.2218
-200
0
0
3
0.6
100
100
0
-
-
TOTAL
500
500
SEGÚN LA ECUACIÓN: 𝑌 = 𝑎𝑋 + 𝑏
PARA F80 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = −4.0273 𝑏 = 1.6678 𝐿𝑜𝑔 𝑓(𝑥) = 1.6678 + 𝑙𝑜𝑔
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o
10
−4.0273
log
= 10
100 𝑋𝑜1.6678
𝑋𝑜 = 4110.7638
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿 𝑋 1.6678 𝑓(𝑥) = 100 ∗ 1.6678 𝑋𝑜 𝑋 = 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 𝑋 1.6678 80 = 100 4110.76381.6678
𝑋 = 3595.9697
PARA P80 𝐿𝑜𝑔 𝑃(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = −1.3743 𝑏 = 1.0384 𝐿𝑜𝑔 𝑃(𝑥) = 1.0384 + 𝑙𝑜𝑔
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o
10
−1.3743
log
= 10
𝑋𝑜 = 1776.3088
100 𝑋𝑜1.0384
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿 𝑋 1.0384 𝑃(𝑥) = 100 ∗ 1.0.84 𝑋𝑜 𝑋 = 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 𝑋 1.0384 80 = 100 1776.30881.0384 𝑋 = 1432.8218
CÁLCULO DE F80 Y P80 MALLA PESO ACUMULADO RETENIDO PULGADA MICRA ALIMENTACIO PRODUCT ALIMENTACIO PRODUCT %A %P S S N O N O
LOG(X)
LOG(Y1)
LOG(Y2)
1 1/2
38100
0
0
0
0
100
100
4.5809
2.0000
2.0000
1
25400
3.45
0
3.45
0
96.55
100
4.4048
1.9848
2.0000
3/4
19000
5.73
0
9.18
0
90.82
100
4.2788
1.9582
2.0000
1/2
12700
10.87
0
20.05
0
79.95
100
4.1038
1.9028
2.0000
3/8
9500
5.27
1.66
25.32
1.66
74.68
98.34
3.9777
1.8732
1.9927
1/4
6350
8.9
1.82
34.22
3.48
65.78
96.52
3.8028
1.8181
1.9846
4
4760
3.02
1.26
37.24
4.74
62.76
95.26
3.6776
1.7977
1.9789
6
3360
4.15
2.2
41.39
6.94
58.61
93.06
3.5263
1.7680
1.9688
8
2380
3.38
1.8
44.77
8.74
55.23
91.26
3.3766
1.7422
1.9603
12
1410
3.14
2.02
47.91
10.76
52.09
89.24
3.1492
1.7168
1.9506
16
1000
3.87
2.81
51.78
13.57
48.22
86.43
3.0000
1.6832
1.9367
20
841
4.6
3.84
56.38
17.41
43.62
82.59
2.9248
1.6397
1.9169
28
595
6.13
5.35
62.51
22.76
37.49
77.24
2.7745
1.5739
1.8878
35
420
7.11
7.29
69.62
30.05
30.38
69.95
2.6232
1.4826
1.8448
48
297
4.39
4.89
74.01
34.94
25.99
65.06
2.4728
1.4148
1.8133
65
210
7.02
9.36
81.03
44.3
18.97
55.7
2.3222
1.2781
1.7459
100
149
6.4
12.06
87.43
56.36
12.57
43.64
2.1732
1.0993
1.6399
150
105
2.4
6.5
89.83
62.86
10.17
37.14
2.0212
1.0073
1.5698
200
74
1.72
6.09
91.55
68.95
8.45
31.05
1.8692
0.9269
1.4921
270
53
1.31
4.63
92.86
73.58
7.14
26.42
1.7243
0.8537
1.4219
325
44
0.35
1.34
93.21
74.92
6.79
25.08
1.6435
0.8319
1.3993
400
37
0.29
1.05
93.5
75.97
6.5
24.03
1.5682
0.8129
1.3808
-400
0
6.5
24.03
100
100
0
0
-
-
-
TOTAL
100
100
SEGÚN LA ECUACIÓN: 𝑌 = 𝑎𝑋 + 𝑏
PARA F80 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = 0.2671 𝑏 = 0.4135 𝐿𝑜𝑔 𝑓(𝑥) = 0.4135 + 𝑙𝑜𝑔
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o
10
0.2671
log
= 10
100 𝑋𝑜0.4135
𝑋𝑜 = 15517.1856
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿 𝑋 0.4135 𝑓(𝑥) = 100 ∗ 0.4135 𝑋𝑜 𝑋 = 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 𝑋 0.4135 80 = 100 15517.18560.4135 𝑋 = 9045.7576
PARA P80 𝐿𝑜𝑔 𝑃(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = 1.0753 𝑏 = 0.2551 𝐿𝑜𝑔 𝑃(𝑥) = 0.2551 + 𝑙𝑜𝑔
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o 1.0753
10
log
= 10
100 𝑋𝑜0.2551
𝑋𝑜 = 4215.5379
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿
𝑃(𝑥) = 100 ∗
𝑋 0.2551 𝑋𝑜 0.2551
𝑋 = 𝐿𝑜𝑔 𝑓 (𝑥 ) = 𝑎 log(𝑥 ) + 𝑏 𝑋 0.2551 80 = 100 4215.53790.2551 𝑋 = 1757.7727
CÁLCULO DE F80 Y P80 (Laboratorio) PULGADA S
MICRAS
ALIMENTACIO N
%PESO
%A
%P
LOG(X)
LOG(Y1)
3/8 3
9525 6724
4 10
0.5000 1.2500
0.5000 1.7500
99.5000 98.2500
3.9789 3.8276
1.9978 1.9923
4
4756
18
2.2500
4.0000
96.0000
3.6772
1.9823
6
3362
30
3.7500
7.7500
92.2500
3.5266
1.9650
8
2378
52
6.5000
14.2500
85.7500
3.3762
1.9332
10
1682
74
9.2500
23.5000
76.5000
3.2258
1.8837
14
1189
90
11.2500
34.7500
65.2500
3.0752
1.8146
20
841
105
13.1250
47.8750
52.1250
2.9248
1.7170
28
596
120
15.0000
62.8750
37.1250
2.7752
1.5697
35
420
92
11.5000
74.3750
25.6250
2.6232
1.4087
48
298
71
8.8750
83.2500
16.7500
2.4742
1.2240
65
210
48
6.0000
89.2500
10.7500
2.3222
1.0314
100
149
35
4.3750
93.6250
6.3750
2.1732
0.8045
150
105
18
2.2500
95.8750
4.1250
2.0212
0.6154
200
75
9
1.1250
97.0000
3.0000
1.8751
0.4771
-200 -
24
TOTAL
3.0000
100.0000
0.0000 -
-
800
−0.7198
SEGÚN LA ECUACIÓN: 𝑌 = 𝑎𝑋 + 𝑏
PARA F80
10
log
= 10
100 𝑋𝑜0.7568
𝑋𝑜 = 4233.1822
𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = −0.7198
𝑋 0.7568 𝑓(𝑥) = 100 ∗ 0.7568 𝑋𝑜
𝑏 = 0.7568 𝐿𝑜𝑔 𝑓(𝑥) = −0.7198 + 𝑙𝑜𝑔
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o
𝑋 = 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 𝑋 0.7568 80 = 100 4233.18220.7568
𝑋 = 3143.789
CÁLCULO DE F80 Y P80 (Laboratorio)
MALLA PULGADAS
PESO
ACUMULADO
MICRAS ALIMENTACION PRODUCTO
%A
%P
RETENIDO ALIMENTACION PRODUCTO
LOG(X)
LOG(Y1)
LOG(Y2
2 1/2
64000
-
-
0.0000
0.0000
0.0000
0.0000
4.8062
0.0000
0.0000
2
50800
47.13
-
27.4012
0.0000
72.5988
0.0000
4.7059
1.8609
0.0000
1 1/2
38100
35.6
-
20.6977
0.0000
79.3023
100.0000
4.5809
1.8993
2.0000
1
25400
27.01
17.2
15.7035
10.0000
84.2965
90.0000
4.4048
1.9258
1.9542
1/2
12700
23.56
36.81
13.6977
21.4012
86.3023
78.5988
4.1038
1.9360
1.8954
4
4760
23.22
67.77
13.5000
39.4012
86.5000
60.5988
3.6776
1.9370
1.7825
16
1000
8.94
34.92
5.1977
20.3023
94.8023
79.6977
3.0000
1.9768
1.9014
-16
-
6.54
15.3
3.8023
8.8953
96.1977
91.1047
-
TOTAL
172
172
100
100
SEGÚN LA ECUACIÓN: 𝑌 = 𝑎𝑋 + 𝑏
PARA F80 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = −0.8173 𝑏 = 0.7814 𝐿𝑜𝑔 𝑓(𝑥) = 0.7814 + 𝑙𝑜𝑔
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o
10
−0.8173
log
= 10
100 𝑋𝑜0.7814
𝑋𝑜 = 81753.36
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿 𝑋 0.7814 𝑓(𝑥) = 100 ∗ 0.7814 𝑋𝑜 𝑋 = 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 𝑋 0.7814 80 = 100 81753.360.7814
𝑋 = 61444.58
PARA P80 𝐿𝑜𝑔 𝑃(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = −1.0994 𝑏 = 0.6931 𝐿𝑜𝑔 𝑃(𝑥) = 0.6931 + 𝑙𝑜𝑔
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o
10
−1.0994
log
= 10
𝑋𝑜 = 29634.21
100 𝑋𝑜0.6931
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿 𝑋 0.6931 𝑃(𝑥) = 100 ∗ 0.6931 𝑋𝑜
𝑋 = 𝐿𝑜𝑔 𝑓 (𝑥 ) = 𝑎 log(𝑥 ) + 𝑏 𝑋 0.6931 80 = 100 29634.210.6931 𝑋 = 21476.62
%A
%P
ACUMULAD ACUMULAD RETENID O O RETENIDO O ALIMENTA ALIMENTA PRODUCT LOG(x LOG(Y1 LOG(Y2 PRODUCTO CI C O ) ) )
4
4760
62
0
12.4
12.4
87.6
100
3.6776
1.9425
2.0000
6
3360
85
0
17
29.4
70.6
100
3.5263
1.8488
2.0000
8
2380
103
0
20.6
0
50
0
50
100
3.3766
1.6990
2.0000
12
1410
126
8
25.2
1.6
75.2
1.6
24.8
98.4
3.1492
1.3945
1.9930
16
1000
54
25
10.8
5
86
6.6
14
93.4
3.0000
1.1461
1.9703
20
841
38
48
7.6
9.6
93.6
16.2
6.4
83.8
2.9248
0.8062
1.9232
28
595
20
75
4
15
97.6
31.2
2.4
68.8
2.7745
0.3802
1.8376
35
420
12
104
2.4
20.8
100
52
0
48
2.6232
-
1.6812
48
297
0
86
0
17.2
100
69.2
30.8
2.4728
1.4886
65
210
0
65
13
100
82.2
17.8
2.3222
1.2504
100
144
0
44
8.8
100
91
9
2.1584
0.9542
150
105
0
28
5.6
100
96.6
3.4
2.0212
0.5315
200
74
0
14
2.8
100
99.4
0.6
1.8692
-0.2218
-200
0
0
3
0.6
100
100
0
-
-
TOTAL
500
500
SEGÚN LA ECUACIÓN: 𝑌 = 𝑎𝑋 + 𝑏
PARA F80 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = −4.0273 𝑏 = 1.6678 𝐿𝑜𝑔 𝑓(𝑥) = 1.6678 + 𝑙𝑜𝑔
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o
10
−4.0273
log
= 10
100 𝑋𝑜1.6678
𝑋𝑜 = 4110.7638
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿 𝑋 1.6678 𝑓(𝑥) = 100 ∗ 1.6678 𝑋𝑜 𝑋 = 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 𝑋 1.6678 80 = 100 4110.76381.6678
𝑋 = 3595.9697
PARA P80 𝐿𝑜𝑔 𝑃(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = −1.3743 𝑏 = 1.0384 𝐿𝑜𝑔 𝑃(𝑥) = 1.0384 + 𝑙𝑜𝑔
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o
10
−1.3743
log
= 10
𝑋𝑜 = 1776.3088
100 𝑋𝑜1.0384
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿 𝑋 1.0384 𝑃(𝑥) = 100 ∗ 1.0.84 𝑋𝑜 𝑋 = 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 𝑋 1.0384 80 = 100 1776.30881.0384 𝑋 = 1432.8218
CÁLCULO DE F80 Y P80 MALLA PESO ACUMULADO RETENIDO PULGADA MICRA ALIMENTACIO PRODUCT ALIMENTACIO PRODUCT %A %P S S N O N O
LOG(X)
LOG(Y1)
LOG(Y2)
1 1/2
38100
0
0
0
0
100
100
4.5809
2.0000
2.0000
1
25400
3.45
0
3.45
0
96.55
100
4.4048
1.9848
2.0000
3/4
19000
5.73
0
9.18
0
90.82
100
4.2788
1.9582
2.0000
1/2
12700
10.87
0
20.05
0
79.95
100
4.1038
1.9028
2.0000
3/8
9500
5.27
1.66
25.32
1.66
74.68
98.34
3.9777
1.8732
1.9927
1/4
6350
8.9
1.82
34.22
3.48
65.78
96.52
3.8028
1.8181
1.9846
4
4760
3.02
1.26
37.24
4.74
62.76
95.26
3.6776
1.7977
1.9789
6
3360
4.15
2.2
41.39
6.94
58.61
93.06
3.5263
1.7680
1.9688
8
2380
3.38
1.8
44.77
8.74
55.23
91.26
3.3766
1.7422
1.9603
12
1410
3.14
2.02
47.91
10.76
52.09
89.24
3.1492
1.7168
1.9506
16
1000
3.87
2.81
51.78
13.57
48.22
86.43
3.0000
1.6832
1.9367
20
841
4.6
3.84
56.38
17.41
43.62
82.59
2.9248
1.6397
1.9169
28
595
6.13
5.35
62.51
22.76
37.49
77.24
2.7745
1.5739
1.8878
35
420
7.11
7.29
69.62
30.05
30.38
69.95
2.6232
1.4826
1.8448
48
297
4.39
4.89
74.01
34.94
25.99
65.06
2.4728
1.4148
1.8133
65
210
7.02
9.36
81.03
44.3
18.97
55.7
2.3222
1.2781
1.7459
100
149
6.4
12.06
87.43
56.36
12.57
43.64
2.1732
1.0993
1.6399
150
105
2.4
6.5
89.83
62.86
10.17
37.14
2.0212
1.0073
1.5698
200
74
1.72
6.09
91.55
68.95
8.45
31.05
1.8692
0.9269
1.4921
270
53
1.31
4.63
92.86
73.58
7.14
26.42
1.7243
0.8537
1.4219
325
44
0.35
1.34
93.21
74.92
6.79
25.08
1.6435
0.8319
1.3993
400
37
0.29
1.05
93.5
75.97
6.5
24.03
1.5682
0.8129
1.3808
-400
0
6.5
24.03
100
100
0
0
-
-
-
TOTAL
100
100
SEGÚN LA ECUACIÓN: 𝑌 = 𝑎𝑋 + 𝑏
PARA F80 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = 0.2671 𝑏 = 0.4135 𝐿𝑜𝑔 𝑓(𝑥) = 0.4135 + 𝑙𝑜𝑔
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o
10
0.2671
log
= 10
100 𝑋𝑜0.4135
𝑋𝑜 = 15517.1856
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿 𝑋 0.4135 𝑓(𝑥) = 100 ∗ 0.4135 𝑋𝑜 𝑋 = 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 𝑋 0.4135 80 = 100 15517.18560.4135 𝑋 = 9045.7576
PARA P80 𝐿𝑜𝑔 𝑃(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = 1.0753 𝑏 = 0.2551 𝐿𝑜𝑔 𝑃(𝑥) = 0.2551 + 𝑙𝑜𝑔
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o 1.0753
10
log
= 10
100 𝑋𝑜0.2551
𝑋𝑜 = 4215.5379
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿
𝑃(𝑥) = 100 ∗
𝑋 0.2551 𝑋𝑜 0.2551
𝑋 = 𝐿𝑜𝑔 𝑓 (𝑥 ) = 𝑎 log(𝑥 ) + 𝑏 𝑋 0.2551 80 = 100 4215.53790.2551 𝑋 = 1757.7727
CÁLCULO DE F80 Y P80 (Laboratorio) PULGADA S
MICRAS
ALIMENTACIO N
%PESO
%A
%P
LOG(X)
LOG(Y1)
3/8 3
9525 6724
4 10
0.5000 1.2500
0.5000 1.7500
99.5000 98.2500
3.9789 3.8276
1.9978 1.9923
4
4756
18
2.2500
4.0000
96.0000
3.6772
1.9823
6
3362
30
3.7500
7.7500
92.2500
3.5266
1.9650
8
2378
52
6.5000
14.2500
85.7500
3.3762
1.9332
10
1682
74
9.2500
23.5000
76.5000
3.2258
1.8837
14
1189
90
11.2500
34.7500
65.2500
3.0752
1.8146
20
841
105
13.1250
47.8750
52.1250
2.9248
1.7170
28
596
120
15.0000
62.8750
37.1250
2.7752
1.5697
35
420
92
11.5000
74.3750
25.6250
2.6232
1.4087
48
298
71
8.8750
83.2500
16.7500
2.4742
1.2240
65
210
48
6.0000
89.2500
10.7500
2.3222
1.0314
100
149
35
4.3750
93.6250
6.3750
2.1732
0.8045
150
105
18
2.2500
95.8750
4.1250
2.0212
0.6154
200
75
9
1.1250
97.0000
3.0000
1.8751
0.4771
-200 -
24
TOTAL
3.0000
100.0000
0.0000 -
-
800
−0.7198
SEGÚN LA ECUACIÓN: 𝑌 = 𝑎𝑋 + 𝑏
PARA F80
10
log
= 10
100 𝑋𝑜0.7568
𝑋𝑜 = 4233.1822
𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = −0.7198
𝑋 0.7568 𝑓(𝑥) = 100 ∗ 0.7568 𝑋𝑜
𝑏 = 0.7568 𝐿𝑜𝑔 𝑓(𝑥) = −0.7198 + 𝑙𝑜𝑔
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o
𝑋 = 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 𝑋 0.7568 80 = 100 4233.18220.7568
𝑋 = 3143.789
CÁLCULO DE F80 Y P80 (Laboratorio)
MALLA PULGADAS
PESO
ACUMULADO
MICRAS ALIMENTACION PRODUCTO
%A
%P
RETENIDO ALIMENTACION PRODUCTO
LOG(X)
LOG(Y1)
LOG(Y2
2 1/2
64000
-
-
0.0000
0.0000
0.0000
0.0000
4.8062
0.0000
0.0000
2
50800
47.13
-
27.4012
0.0000
72.5988
0.0000
4.7059
1.8609
0.0000
1 1/2
38100
35.6
-
20.6977
0.0000
79.3023
100.0000
4.5809
1.8993
2.0000
1
25400
27.01
17.2
15.7035
10.0000
84.2965
90.0000
4.4048
1.9258
1.9542
1/2
12700
23.56
36.81
13.6977
21.4012
86.3023
78.5988
4.1038
1.9360
1.8954
4
4760
23.22
67.77
13.5000
39.4012
86.5000
60.5988
3.6776
1.9370
1.7825
16
1000
8.94
34.92
5.1977
20.3023
94.8023
79.6977
3.0000
1.9768
1.9014
-16
-
6.54
15.3
3.8023
8.8953
96.1977
91.1047
-
TOTAL
172
172
100
100
SEGÚN LA ECUACIÓN: 𝑌 = 𝑎𝑋 + 𝑏
PARA F80 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = −0.8173 𝑏 = 0.7814 𝐿𝑜𝑔 𝑓(𝑥) = 0.7814 + 𝑙𝑜𝑔
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o
10
−0.8173
log
= 10
100 𝑋𝑜0.7814
𝑋𝑜 = 81753.36
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿 𝑋 0.7814 𝑓(𝑥) = 100 ∗ 0.7814 𝑋𝑜 𝑋 = 𝐿𝑜𝑔 𝑓(𝑥) = 𝑎 log(𝑥) + 𝑏 𝑋 0.7814 80 = 100 81753.360.7814
𝑋 = 61444.58
PARA P80 𝐿𝑜𝑔 𝑃(𝑥) = 𝑎 log(𝑥) + 𝑏 Tenemos los valores siguientes: 𝑎 = −1.0994 𝑏 = 0.6931 𝐿𝑜𝑔 𝑃(𝑥) = 0.6931 + 𝑙𝑜𝑔
100 𝑋𝑜 𝛼
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿o
10
−1.0994
log
= 10
𝑋𝑜 = 29634.21
100 𝑋𝑜0.6931
𝑯𝑨𝑳𝑳𝑨𝑴𝑶𝑺 𝑬𝑳 𝑽𝑨𝑳𝑶𝑹 𝑫𝑬 𝑿 𝑋 0.6931 𝑃(𝑥) = 100 ∗ 0.6931 𝑋𝑜
𝑋 = 𝐿𝑜𝑔 𝑓 (𝑥 ) = 𝑎 log(𝑥 ) + 𝑏 𝑋 0.6931 80 = 100 29634.210.6931 𝑋 = 21476.62
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