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REPETICIONTEMPERATURAVELOCIDAD TORQUEESFUERZO DE CORTEVELOCIDAD DE CORTE

°C rpm % D/cm2 1/s

R1 20

200.00 18.99 14.87 244.60205.00 19.25 15.11 250.72210.00 19.54 15.26 256.83215.00 19.84 15.50 262.95220.00 20.14 15.73 269.06225.00 20.41 15.97 275.18230.00 20.72 16.20 281.29235.00 20.99 16.44 287.41240.00 21.27 16.67 293.52245.00 21.58 16.91 299.64

R2 20

200.00 19.15 14.95 244.60205.00 19.44 15.18 250.72210.00 19.76 15.50 256.83215.00 20.06 15.73 262.95220.00 20.35 15.97 269.06225.00 20.63 16.12 275.18230.00 20.94 16.36 281.29235.00 21.21 16.59 287.41240.00 21.52 16.83 293.52245.00 21.77 17.06 299.64

R3 20

200.00 19.23 15.03 244.60205.00 19.50 15.26 250.72210.00 19.79 15.50 256.83215.00 20.09 15.73 262.95220.00 20.37 15.97 269.06225.00 20.70 16.20 275.18230.00 20.98 16.44 281.29235.00 21.22 16.59 287.41240.00 21.56 16.91 293.52245.00 21.83 17.06 299.64

2.380 2.400 2.420 2.440 2.460 2.480 2.5000.000

0.050

0.100

0.150

0.200

0.250

f(x) = 0.631395893221357 x − 1.33108917893179R² = 0.998895160614027f(x) = 0.640052203242798 x − 1.35322654236139R² = 0.997771047287007f(x) = 0.635093175344909 x − 1.34562811024605R² = 0.998062105514487

R1Linear (R1)R2Linear (R2)R3Linear (R3)

REPETICIONTEMPERATURA Lnµ promedio entre laspromedio total Lnµ

°C cP

R1 20

6.080 1.805

1.7643

1.7720

6.025 1.7965.943 1.7825.894 1.7745.847 1.7665.803 1.7585.760 1.7515.719 1.7445.680 1.7375.642 1.730

R2 20

6.112 1.810

1.7746

6.057 1.801

µa

2.380 2.400 2.420 2.440 2.460 2.480 2.5000.000

0.050

0.100

0.150

0.200

0.250

f(x) = 0.631395893221357 x − 1.33108917893179R² = 0.998895160614027f(x) = 0.640052203242798 x − 1.35322654236139R² = 0.997771047287007f(x) = 0.635093175344909 x − 1.34562811024605R² = 0.998062105514487

R1Linear (R1)R2Linear (R2)R3Linear (R3)

R2 20

6.034 1.797

1.7746

1.7720

5.983 1.7895.935 1.7815.860 1.7685.816 1.7615.774 1.7535.733 1.7465.695 1.740

R3 20

6.144 1.815

1.7771

6.088 1.8066.034 1.7975.983 1.7895.935 1.7815.888 1.7735.843 1.7655.774 1.7535.760 1.7515.695 1.740

5.884µa

TEMPERATURA (°C)T1 (20°C)T2(30°C)T3(40°C)

290 295 300 305 310 3150.000

1.000

2.000

3.000

4.000

5.000

6.000

7.000

f(x) = − 0.088812884877734 x + 31.8427582011894R² = 0.994996705778886f(x) = − 0.0891607634731939 x + 31.9492532865844R² = 0.986882616820834

µa vs T

Linear (µa vs T)

µc vs T

Linear (µc vs T)

ESFUERZO DE CORTE Log T log ᵧREPETICION

TEMPERATURA

N/m2 cP °C1.487 6.080 0.172 2.388

R1 30

1.511 6.025 0.179 2.3991.526 5.943 0.184 2.4101.550 5.894 0.190 2.4201.573 5.847 0.197 2.4301.597 5.803 0.203 2.4401.620 5.760 0.210 2.4491.644 5.719 0.216 2.4581.667 5.680 0.222 2.4681.691 5.642 0.228 2.4771.495 6.112 0.175 2.388

R2 30

1.518 6.057 0.181 2.3991.550 6.034 0.190 2.4101.573 5.983 0.197 2.4201.597 5.935 0.203 2.4301.612 5.860 0.207 2.4401.636 5.816 0.214 2.4491.659 5.774 0.220 2.4581.683 5.733 0.226 2.4681.706 5.695 0.232 2.4771.503 6.144 0.177 2.388

R3 30

1.526 6.088 0.184 2.3991.550 6.034 0.190 2.4101.573 5.983 0.197 2.4201.597 5.935 0.203 2.4301.620 5.888 0.210 2.4401.644 5.843 0.216 2.4491.659 5.774 0.220 2.4581.691 5.760 0.228 2.4681.706 5.695 0.232 2.477

n1 0.6351n2 0.6401n3 0.6314

µa

2.380 2.400 2.420 2.440 2.460 2.480 2.5000.000

0.050

0.100

0.150

0.200

0.250

f(x) = 0.631395893221357 x − 1.33108917893179R² = 0.998895160614027f(x) = 0.640052203242798 x − 1.35322654236139R² = 0.997771047287007f(x) = 0.635093175344909 x − 1.34562811024605R² = 0.998062105514487

R1Linear (R1)R2Linear (R2)R3Linear (R3)

2.380 2.400 2.420 2.440 2.460 2.480 2.5000.000

0.020

0.040

0.060

0.080

0.100

0.120

0.140

0.160

f(x) = 0.630227039342447 x − 1.41687704813564R² = 0.998139469433242f(x) = 0.629797827773832 x − 1.41531318386226R² = 0.998351783633771f(x) = 0.634023232762662 x − 1.42872290711773R² = 0.9981426492604

R1

Linear (R1)

R2

Linear (R2)

R3

Linear (R3)

n 0.6355logK1 -1.3456logk2 -1.3532logk3 -1.3311k1 0.04512k2 0.04434k3 0.04666k 0.04537R1*2 0.9981R2*2 0.9978R3*2 0.9989R*2 0.9983

Lnµ = Ln a + b(1/T)

1/T REPETICIONTEMPERATURA

°C

0.003412969283

R1 30

R2 30

2.380 2.400 2.420 2.440 2.460 2.480 2.5000.000

0.050

0.100

0.150

0.200

0.250

f(x) = 0.631395893221357 x − 1.33108917893179R² = 0.998895160614027f(x) = 0.640052203242798 x − 1.35322654236139R² = 0.997771047287007f(x) = 0.635093175344909 x − 1.34562811024605R² = 0.998062105514487

R1Linear (R1)R2Linear (R2)R3Linear (R3)

2.380 2.400 2.420 2.440 2.460 2.480 2.5000.000

0.020

0.040

0.060

0.080

0.100

0.120

0.140

0.160

f(x) = 0.630227039342447 x − 1.41687704813564R² = 0.998139469433242f(x) = 0.629797827773832 x − 1.41531318386226R² = 0.998351783633771f(x) = 0.634023232762662 x − 1.42872290711773R² = 0.9981426492604

R1

Linear (R1)

R2

Linear (R2)

R3

Linear (R3)

0.003412969283

R2 30

R3 30

µa

0.0031 0.0032 0.0033 0.0034 0.00350.00000.20000.40000.60000.80001.00001.20001.40001.60001.80002.0000

f(x) = 1656.96593317711 x − 3.88770218052107R² = 0.99796559725188

Ecuación de Arrhenius lineal

Ecuación de Arrhenius linealLinear (Ecuación de Ar-rhenius lineal)Linear (Ecuación de Ar-rhenius lineal)

TEMPERATURA (K)VISCOSIDAD VISCOSIDAD CORREGIDA µc (cP)293 5.884 5.85694365833303 4.815 4.85973263061313 4.101 4.08068596077

290 295 300 305 310 3150.000

1.000

2.000

3.000

4.000

5.000

6.000

7.000

f(x) = − 0.088812884877734 x + 31.8427582011894R² = 0.994996705778886f(x) = − 0.0891607634731939 x + 31.9492532865844R² = 0.986882616820834

µa vs T

Linear (µa vs T)

µc vs T

Linear (µc vs T)

VELOCIDAD TORQUE ESFUERZO DE CORTEVELOCIDAD DE CORTEESFUERZO DE CORTE Log T

rpm % D/cm2 1/s N/m2 cP200.00 15.60 12.21 244.60 1.221 4.992 0.087205.00 15.83 12.37 250.72 1.237 4.933 0.092210.00 16.04 12.52 256.83 1.252 4.876 0.098215.00 16.29 12.76 262.95 1.276 4.852 0.106220.00 16.52 12.91 269.06 1.291 4.800 0.111225.00 16.77 13.15 275.18 1.315 4.779 0.119230.00 17.02 13.31 281.29 1.331 4.730 0.124235.00 17.23 13.46 287.41 1.346 4.684 0.129240.00 17.46 13.70 293.52 1.370 4.667 0.137245.00 17.70 13.85 299.64 1.385 4.624 0.142200.00 15.69 12.29 244.60 1.229 5.024 0.090205.00 15.93 12.45 250.72 1.245 4.964 0.095210.00 16.16 12.68 256.83 1.268 4.937 0.103215.00 16.41 12.84 262.95 1.284 4.882 0.108220.00 16.65 12.99 269.06 1.299 4.829 0.114225.00 16.88 13.23 275.18 1.323 4.807 0.121230.00 17.10 13.38 281.29 1.338 4.758 0.127235.00 17.35 13.62 287.41 1.362 4.739 0.134240.00 17.58 13.78 293.52 1.378 4.693 0.139245.00 17.83 13.93 299.64 1.393 4.650 0.144200.00 15.68 12.29 244.60 1.229 5.024 0.090205.00 15.88 12.45 250.72 1.245 4.964 0.095210.00 16.12 12.60 256.83 1.260 4.907 0.100215.00 16.38 12.84 262.95 1.284 4.882 0.108220.00 16.61 12.99 269.06 1.299 4.829 0.114225.00 16.85 13.23 275.18 1.323 4.807 0.121230.00 17.08 13.38 281.29 1.338 4.758 0.127235.00 17.31 13.54 287.41 1.354 4.711 0.132240.00 17.55 13.78 293.52 1.378 4.693 0.139245.00 17.77 13.93 299.64 1.393 4.650 0.144

µa

2.380 2.400 2.420 2.440 2.460 2.480 2.5000.000

0.020

0.040

0.060

0.080

0.100

0.120

0.140

0.160

f(x) = 0.630227039342447 x − 1.41687704813564R² = 0.998139469433242f(x) = 0.629797827773832 x − 1.41531318386226R² = 0.998351783633771f(x) = 0.634023232762662 x − 1.42872290711773R² = 0.9981426492604

R1

Linear (R1)

R2

Linear (R2)

R3

Linear (R3)

µ = a.e^(b/T)

Lnµ = Ln a + b(1/T)

Lnµ promedio entre las repeticio promedio tot1/TcP

4.992 1.608

1.5670

1.5714 0.00330

4.933 1.5964.876 1.5844.852 1.5794.800 1.5694.779 1.5644.730 1.5544.684 1.5444.667 1.5404.624 1.5315.024 1.614

1.5742

4.964 1.602

µa

2.380 2.400 2.420 2.440 2.460 2.480 2.5000.000

0.020

0.040

0.060

0.080

0.100

0.120

0.140

0.160

f(x) = 0.630227039342447 x − 1.41687704813564R² = 0.998139469433242f(x) = 0.629797827773832 x − 1.41531318386226R² = 0.998351783633771f(x) = 0.634023232762662 x − 1.42872290711773R² = 0.9981426492604

R1

Linear (R1)

R2

Linear (R2)

R3

Linear (R3)

4.937 1.597

1.5742

1.5714 0.00330

4.882 1.5864.829 1.5754.807 1.5704.758 1.5604.739 1.5564.693 1.5464.650 1.5375.024 1.614

1.5730

4.964 1.6024.907 1.5914.882 1.5864.829 1.5754.807 1.5704.758 1.5604.711 1.5504.693 1.5464.650 1.537

4.815

Ln a -3.8877a 0.0204924244532488b 1657

0.0031 0.0032 0.0033 0.0034 0.00350.00000.20000.40000.60000.80001.00001.20001.40001.60001.80002.0000

f(x) = 1656.96593317711 x − 3.88770218052107R² = 0.99796559725188

Ecuación de Arrhenius lineal

Ecuación de Arrhenius linealLinear (Ecuación de Ar-rhenius lineal)Linear (Ecuación de Ar-rhenius lineal)

log ᵧREPETICION

TEMPERATURAVELOCIDAD TORQUEESFUERZO DE CORTEVELOCIDAD DE CORTE

°C rpm % D/cm2 1/s2.388

R1 40

200.00 13.31 10.41 244.602.399 205.00 13.47 10.57 250.722.410 210.00 13.63 10.64 256.832.420 215.00 13.84 10.80 262.952.430 220.00 14.10 11.04 269.062.440 225.00 14.26 11.19 275.182.449 230.00 14.45 11.27 281.292.458 235.00 14.66 11.51 287.412.468 240.00 14.91 11.66 293.522.477 245.00 15.10 11.82 299.642.388

R2 40

200.00 13.22 10.33 244.602.399 205.00 13.41 10.49 250.722.410 210.00 13.63 10.64 256.832.420 215.00 13.82 10.80 262.952.430 220.00 14.06 11.04 269.062.440 225.00 14.25 11.19 275.182.449 230.00 14.45 11.27 281.292.458 235.00 14.66 11.51 287.412.468 240.00 14.82 11.58 293.522.477 245.00 15.06 11.82 299.642.388

R3 40

200.00 13.52 10.57 244.602.399 205.00 13.73 10.72 250.722.410 210.00 13.89 10.88 256.832.420 215.00 14.07 11.04 262.952.430 220.00 14.32 11.19 269.062.440 225.00 14.50 11.35 275.182.449 230.00 14.70 11.51 281.292.458 235.00 14.92 11.66 287.412.468 240.00 15.12 11.82 293.522.477 245.00 15.32 11.98 299.64

n1 0.634n2 0.6298n3 0.6302n 0.6313

2.380 2.400 2.420 2.440 2.460 2.480 2.5000.000

0.010

0.020

0.030

0.040

0.050

0.060

0.070

0.080

0.090

f(x) = 0.616916880881814 x − 1.44985933048086R² = 0.99988056307015f(x) = 0.655583901632078 x − 1.5519283891866R² = 0.995366238478483f(x) = 0.635097971256605 x − 1.50112561619912R² = 0.993056077442851

R1Linear (R1)R2Linear (R2)R3Linear (R3)

logK1 -1.4287logk2 -1.4153logk3 -1.4169k1 0.03726k2 0.03843k3 0.03829k 0.03800R1*2 0.9981R2*2 0.9984R3*2 0.9981R*2 0.9982

REPETICIONTEMPERATURA Lnµ promedio entrpromedio tot

°C cP

R1 40

4.256 1.448

1.4063

1.4110

4.215 1.4394.145 1.4224.108 1.4134.102 1.4114.068 1.4034.007 1.3884.003 1.3873.973 1.3803.944 1.372

R2 40

4.224 1.441

1.4042

4.183 1.431

µa

2.380 2.400 2.420 2.440 2.460 2.480 2.5000.000

0.010

0.020

0.030

0.040

0.050

0.060

0.070

0.080

0.090

f(x) = 0.616916880881814 x − 1.44985933048086R² = 0.99988056307015f(x) = 0.655583901632078 x − 1.5519283891866R² = 0.995366238478483f(x) = 0.635097971256605 x − 1.50112561619912R² = 0.993056077442851

R1Linear (R1)R2Linear (R2)R3Linear (R3)

R2 40

4.145 1.422

1.4042

1.4110

4.108 1.4134.102 1.4114.068 1.4034.007 1.3884.003 1.3873.947 1.3733.944 1.372

R3 40

4.320 1.463

1.4225

4.277 1.4534.236 1.4444.197 1.4344.160 1.4264.124 1.4174.090 1.4094.058 1.4014.027 1.3933.997 1.385

4.101µa

ESFUERZO DE CORTE Log T log ᵧ

N/m2 cP1.041 4.256 0.017 2.3881.057 4.215 0.024 2.3991.064 4.145 0.027 2.4101.080 4.108 0.033 2.4201.104 4.102 0.043 2.4301.119 4.068 0.049 2.4401.127 4.007 0.052 2.4491.151 4.003 0.061 2.4581.166 3.973 0.067 2.4681.182 3.944 0.073 2.4771.033 4.224 0.014 2.3881.049 4.183 0.021 2.3991.064 4.145 0.027 2.4101.080 4.108 0.033 2.4201.104 4.102 0.043 2.4301.119 4.068 0.049 2.4401.127 4.007 0.052 2.4491.151 4.003 0.061 2.4581.158 3.947 0.064 2.4681.182 3.944 0.073 2.4771.057 4.320 0.024 2.3881.072 4.277 0.030 2.3991.088 4.236 0.037 2.4101.104 4.197 0.043 2.4201.119 4.160 0.049 2.4301.135 4.124 0.055 2.4401.151 4.090 0.061 2.4491.166 4.058 0.067 2.4581.182 4.027 0.073 2.4681.198 3.997 0.078 2.477

n1 0.6351n2 0.6556n3 0.6169n 0.6359

µa

2.380 2.400 2.420 2.440 2.460 2.480 2.5000.000

0.010

0.020

0.030

0.040

0.050

0.060

0.070

0.080

0.090

f(x) = 0.616916880881814 x − 1.44985933048086R² = 0.99988056307015f(x) = 0.655583901632078 x − 1.5519283891866R² = 0.995366238478483f(x) = 0.635097971256605 x − 1.50112561619912R² = 0.993056077442851

R1Linear (R1)R2Linear (R2)R3Linear (R3)

logK1 -1.5011logk2 -1.5519logk3 -1.4499k1 0.03154k2 0.02806k3 0.03549k 0.03170R1*2 0.9931R2*2 0.9954R3*2 0.9999R*2 0.9961

1/T

0.00319489

2.380 2.400 2.420 2.440 2.460 2.480 2.5000.000

0.010

0.020

0.030

0.040

0.050

0.060

0.070

0.080

0.090

f(x) = 0.616916880881814 x − 1.44985933048086R² = 0.99988056307015f(x) = 0.655583901632078 x − 1.5519283891866R² = 0.995366238478483f(x) = 0.635097971256605 x − 1.50112561619912R² = 0.993056077442851

R1Linear (R1)R2Linear (R2)R3Linear (R3)

0.00319489

REPETICIONTEMPERATURAVELOCIDAD TORQUEESFUERZO DE CORTEVELOCIDAD DE CORTEESFUERZO DE CORTE

°C rpm % D/cm2 1/s N/m2

R1 30

200.00 15.60 12.21 244.60 1.221205.00 15.83 12.37 250.72 1.237210.00 16.04 12.52 256.83 1.252215.00 16.29 12.76 262.95 1.276220.00 16.52 12.91 269.06 1.291225.00 16.77 13.15 275.18 1.315230.00 17.02 13.31 281.29 1.331235.00 17.23 13.46 287.41 1.346240.00 17.46 13.70 293.52 1.370245.00 17.70 13.85 299.64 1.385

R2 30

200.00 15.69 12.29 244.60 1.229205.00 15.93 12.45 250.72 1.245210.00 16.16 12.68 256.83 1.268215.00 16.41 12.84 262.95 1.284220.00 16.65 12.99 269.06 1.299225.00 16.88 13.23 275.18 1.323230.00 17.10 13.38 281.29 1.338235.00 17.35 13.62 287.41 1.362240.00 17.58 13.78 293.52 1.378245.00 17.83 13.93 299.64 1.393

R3 30

200.00 15.68 12.29 244.60 1.229205.00 15.88 12.45 250.72 1.245210.00 16.12 12.60 256.83 1.260215.00 16.38 12.84 262.95 1.284220.00 16.61 12.99 269.06 1.299225.00 16.85 13.23 275.18 1.323230.00 17.08 13.38 281.29 1.338235.00 17.31 13.54 287.41 1.354240.00 17.55 13.78 293.52 1.378245.00 17.77 13.93 299.64 1.393

Log T log ᵧ

cP4.992 0.087 2.3884.933 0.092 2.3994.876 0.098 2.4104.852 0.106 2.4204.800 0.111 2.4304.779 0.119 2.4404.730 0.124 2.4494.684 0.129 2.4584.667 0.137 2.4684.624 0.142 2.4775.024 0.090 2.3884.964 0.095 2.3994.937 0.103 2.4104.882 0.108 2.4204.829 0.114 2.4304.807 0.121 2.4404.758 0.127 2.4494.739 0.134 2.4584.693 0.139 2.4684.650 0.144 2.4775.024 0.090 2.3884.964 0.095 2.3994.907 0.100 2.4104.882 0.108 2.4204.829 0.114 2.4304.807 0.121 2.4404.758 0.127 2.4494.711 0.132 2.4584.693 0.139 2.4684.650 0.144 2.477

µa

REPETICIONTEMPERATURAVELOCIDAD TORQUEESFUERZO DE CORTEVELOCIDAD DE CORTE

°C rpm % D/cm2 1/s

R1 40

200.00 13.31 10.41 244.60205.00 13.47 10.57 250.72210.00 13.63 10.64 256.83215.00 13.84 10.80 262.95220.00 14.10 11.04 269.06225.00 14.26 11.19 275.18230.00 14.45 11.27 281.29235.00 14.66 11.51 287.41240.00 14.91 11.66 293.52245.00 15.10 11.82 299.64

R2 40

200.00 13.22 10.33 244.60205.00 13.41 10.49 250.72210.00 13.63 10.64 256.83215.00 13.82 10.80 262.95220.00 14.06 11.04 269.06225.00 14.25 11.19 275.18230.00 14.45 11.27 281.29235.00 14.66 11.51 287.41240.00 14.82 11.58 293.52245.00 15.06 11.82 299.64

R3 40

200.00 13.52 10.57 244.60205.00 13.73 10.72 250.72210.00 13.89 10.88 256.83215.00 14.07 11.04 262.95220.00 14.32 11.19 269.06225.00 14.50 11.35 275.18230.00 14.70 11.51 281.29235.00 14.92 11.66 287.41240.00 15.12 11.82 293.52245.00 15.32 11.98 299.64

ESFUERZO DE CORTE Log T log ᵧ

N/m2 cP1.041 4.256 0.017 2.3881.057 4.215 0.024 2.3991.064 4.145 0.027 2.4101.080 4.108 0.033 2.4201.104 4.102 0.043 2.4301.119 4.068 0.049 2.4401.127 4.007 0.052 2.4491.151 4.003 0.061 2.4581.166 3.973 0.067 2.4681.182 3.944 0.073 2.4771.033 4.224 0.014 2.3881.049 4.183 0.021 2.3991.064 4.145 0.027 2.4101.080 4.108 0.033 2.4201.104 4.102 0.043 2.4301.119 4.068 0.049 2.4401.127 4.007 0.052 2.4491.151 4.003 0.061 2.4581.158 3.947 0.064 2.4681.182 3.944 0.073 2.4771.057 4.320 0.024 2.3881.072 4.277 0.030 2.3991.088 4.236 0.037 2.4101.104 4.197 0.043 2.4201.119 4.160 0.049 2.4301.135 4.124 0.055 2.4401.151 4.090 0.061 2.4491.166 4.058 0.067 2.4581.182 4.027 0.073 2.4681.198 3.997 0.078 2.477

µa

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