perhitungan laporan praktikum hidro usu

volume waktu H (Y) QNo. (liter) (Detik) (mm) cm^3/det H^3/2 Cd

1 3 16 22 187.5 3.263127 0.6486162 3 13 26 230.769230769 4.192374 0.6213533 3 8 30 375 5.196152 0.8146484 3 7 34 428.571428571 6.26929 0.7716595 3 5 38 600 7.407564 0.914316

15030 Cd rerata 0.754118

Σ(X-x)(Y-y) = 383.912 Nilai regresi (y) untuk hubungan Q^2/3 dan HΣ(X-x)^2 = 948.0631 X yB = 0.404944 32.75927 22.98885A = y - B(x) 9.7232 37.62287 24.95834Persamaan regresi adalah = y = 9,723 + 0,404x 52.0021 30.78111

56.84367 32.74168484 71.13787 38.53002676900

1156 Nilai regresi (y) untuk hubungan Cd dan H1444 X y4660 0.648616 25.07321

0.621353 23.800060.814648 32.826630.771659 30.819110.914316 37.48098

X y0.342423 2.2511430.414973 2.4073890.477121 2.5412310.531479 2.6582960.579784 2.762325

X y'187.5 23.35463

230.7692 24.98036375 30.39947

428.5714 32.41228600 38.85327

XQ^2/3 log Q log H (X-x) (Y-y) (X-x)^2 (X-x)*(Y-y)

32.75927 2.273001 0.342423 -17.31 -8 299.7707 138.5110999737.62287 2.363178 0.414973 -12.45 -4 155.009567 49.801135187

52.0021 2.574031 0.477121 1.9289 0 3.72081204 056.84367 2.632023 0.531479 6.7705 4 45.839934 27.08207789971.13787 2.778151 0.579784 21.065 8 443.722057 168.51768933

50.07315Nilai regresi (y) untuk hubungan Q^2/3 dan H Hubungan antara Cd dan H

No. X Y (X-x) (Y-y) (X-x)^2 (X-x)*(Y-y)1 0.648616 22 -0.106 -8 0.0111307199 0.844017812 0.621353 26 -0.133 -4 0.0176266497 0.531061573 0.814648 30 0.061 0 0.0036638117 04 0.771659 34 0.018 4 0.0003076685 0.070161925 0.914316 38 0.16 8 0.0256633066 1.28158169

rerata = 0.754118 30

Nilai regresi (y) untuk hubungan Cd dan H Σ(X-x)(Y-y) = 2.727Σ(X-x)^2 = 0.058B = 46.7A = y - B(x) -5.216Persamaan regresi untuk hubungan Cd dan H adalahy = -5,22 + 46,7x

Hubungan antara Log H dan Log QNo. X Y (X-x) (Y-y) (X-x)^2 (X-x)*(Y-y)

1 0.342423 2.273 -0.127 -0.2510757 0.0160613239 0.031819652 0.414973 2.3632 -0.054 -0.1608991 0.0029357554 0.008717933 0.477121 2.574 0.008 0.04995429 6.344593E-05 0.00039794 0.531479 2.632 0.062 0.10794623 0.003884151 0.006727535 0.579784 2.7782 0.111 0.25407427 0.0122384741 0.02810764

rerata = 0.469156 2.5241

Σ(X-x)(Y-y) = 0.076Σ(X-x)^2 = 0.035B = 2.154A = y - B(x) 1.514Persamaan regresi untuk hubungan Cd dan H adalahy = 1,51 + 2,15x

Hubungan antara H dan QNo. X Y (X-x) (Y-y) (X-x)^2 (X-x)*(Y-y)

1 187.5 22 -177 -8 31282.336071 1414.945052 230.7692 26 -134 -4 17848.666375 534.3956043 375 30 10.63 0 113.03661997 04 428.5714 34 64.2 4 4122.0633076 256.813187

5 600 38 235.6 8 55522.377279 1885.05495rerata = 364.3681 30

Σ(X-x)(Y-y) = 4091.20879Σ(X-x)^2 = 108888.48B = 0.03757247A = y - B(x) 16.3097904Persamaan regresi untuk hubungan Q dan H adalahy' = 16,31 + 0,037(X)

volume waktu H (Y) QNo. (liter) (Detik) (mm) cm^3/det H^(5/2) Cd

1 3 54 18 55.56 4.347 0.5412 3 31 21 96.77 6.391 0.6413 3 18 24 166.67 8.923 0.7914 3 16 27 187.50 11.979 0.6635 3 13 30 230.77 15.588 0.627

24 147.453129308 Cd rerata 0.652375Σ(X-x)(Y-y) = 173.4215 Nilai regresi (y) untuk hubungan Q^2/3 dan HΣ(X-x)^2 = 346.2929 X yB = 0.500794 14.55967 151.1612A = y - B(x) 10.34778 21.08 218.6166Persamaan regresi adalah = y = 10,34(X) + 0,500 30.29 313.887

32.76 339.48661374.6155826 37.62 389.8142

Nilai regresi (y) untuk hubungan Cd dan HX y

0.541001 24.535520.641 25.770970.791 27.619340.663 26.037570.627 25.59363

X y0.255273 3.071401

0.322 3.1432770.380 3.2055390.431 3.2604580.477 3.309585

X y55.55556 -2768.592

96.77 -4823.08166.67 -8306.777187.50 -9345.186230.77 -11501.88

XQ^(2/3) log Q log H (X-x) (Y-y) (X-x)^2 (X-x)*(Y-y)

14.56 1.74 0.255 -12.7 -6 161.327007 76.20874124221.08 1.99 0.322 -6.183 -3 38.2249265 18.54789311230.29 2.22 0.380 3.0242 0 9.14585779 032.76 2.27 0.431 5.4981 3 30.229501 16.49440842537.62 2.36 0.477 10.362 6 107.365653 62.170439047

346.292945 173.4214818327.26113

Nilai regresi (y) untuk hubungan Q^2/3 dan H Hubungan antara Cd dan HNo. X Y (X-x) (Y-y) (X-x)^2 (X-x)*(Y-y)

1 0.541001 18 -0.111 -6 0.0124042777 0.6682472 0.641 21 -0.011 -3 0.00012923 0.0341043 0.791 24 0.138 0 0.0191138915 04 0.663 27 0.01 3 0.000104299 0.0306385 0.627 30 -0.026 6 0.000661686 -0.15434

rerata = 0.652375 24

Nilai regresi (y) untuk hubungan Cd dan H Σ(X-x)(Y-y) = 0.579Σ(X-x)^2 = 0.032B = 17.85A = y - B(x) 12.35Persamaan regresi untuk hubungan Cd dan H adalahy = 12,4(X) + 17,9

Hubungan antara Log H dan Log QNo. X Y (X-x) (Y-y) (X-x)^2 (X-x)*(Y-y)

1 0.255273 1.7447 -0.118 -0.3729755 0.0139157665 0.0439982 0.322 1.99 -0.051 -0.1319434 0.0026028687 0.0067323 0.380 2.22 0.007 0.10414575 4.863151E-05 0.0007264 0.431 2.27 0.058 0.15529828 0.0033786496 0.0090275 0.477 2.36 0.104 0.24547491 0.0107918112 0.025501

rerata = 0.373238 2.1177

Σ(X-x)(Y-y) = 0.086Σ(X-x)^2 = 0.031B = 2.797A = y - B(x) 1.074Persamaan regresi untuk hubungan Log Q dan Log H adalahy = 1,07(X) + 2,8

Hubungan antara H dan QNo. X Y (X-x) (Y-y) (X-x)^2 (X-x)*(Y-y)

1 55.55556 18 -91.9 -6 161.32700671 76.208742 96.77 21 -50.68 -3 38.224926542 18.547893 166.67 24 19.21 0 9.1458577854 04 187.50 27 40.05 3 30.229501033 16.494415 230.77 30 83.32 6 107.36565253 62.17044

Σ(X-x)(Y-y) = 173.421482

0.500 0.550 0.600 0.650 0.700 0.750 0.800 0.8500

5

10

15

20

25

30

35

1; 182; 21

3; 244; 27

5; 30

Hubungan Antara Cd dan H

Kurva HubunganSetalah Regresi

Cd

H

Σ(X-x)^2 = 346.292945B = 0.50079415A = y - B(x) -49.843665

0.500 0.550 0.600 0.650 0.700 0.750 0.800 0.8500

5

10

15

20

25

30

35

1; 182; 21

3; 244; 27

5; 30

Hubungan Antara Cd dan H

Kurva HubunganSetalah Regresi

Cd

H

30 35 40 45 50 55 60 65 70 750

5

10

15

20

25

30

35

40

45

32.7592674, 22

37.6228711, 2652.0020955, 30

4; 3471.1378660, 38

kurvaSetelah Regresi

Q2/3

H

0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.950

5

10

15

20

25

30

35

40

32.7592674, 22

37.6228711, 2652.0020955, 30

0.77165885, 3471.1378660, 38


Cd

H

0.3 0.35 0.4 0.45 0.5 0.55 0.60

0.5

1

1.5

2

2.5

3

0.342422, 2.2730.4149, 2.3631

0.4771, 2.57400.53147, 2.63200.5797, 2.778


Log H

Log

Q

150200

250300

350400

450500

550600

65005

1015202530354045

1; 222; 26

3; 304; 34

5; 38

Kurva HubunganLinear (Kurva Hubungan)setelah regresi

Q

H

0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.950

5

10

15

20

25

30

35

40

32.7592674, 22

37.6228711, 2652.0020955, 30

0.77165885, 3471.1378660, 38


Cd

H

0.3 0.35 0.4 0.45 0.5 0.55 0.60

0.5

1

1.5

2

2.5

3

0.342422, 2.2730.4149, 2.3631

0.4771, 2.57400.53147, 2.63200.5797, 2.778


Log H

Log

Q

0.00 50.00 100.00 150.00 200.00 250.000

5

10

15

20

25

30

35

55.55, 1896.774, 21 166.66, 24

4; 27230.769, 30

Kurva HubunganLinear (Kurva Hubungan)

Q

H

16 18 20 22 24 26 28 30 320.000

0.100

0.200

0.300

0.400

0.500

0.600

0.700

0.800

0.900

18, 0.5410

21, 0.6410

24, 0.790

27, 0.66251

30, 0.6266

Kurva Hubungan

H

Cd

0.200 0.250 0.300 0.350 0.400 0.450 0.5000.00

0.50

1.00

1.50

2.00

2.50

0.255, 1.744

0.3222, 1.985750.3802, 2.2218 0.4313, 2.273

0.4771, 2.3631

Kurva Hubungan

Log H

Log

Q

0.00 50.00 100.00 150.00 200.00 250.000

5

10

15

20

25

30

35

55.55, 1896.774, 21 166.66, 24

4; 27230.769, 30

Kurva HubunganLinear (Kurva Hubungan)

Q

H

0.200 0.250 0.300 0.350 0.400 0.450 0.5000.00

0.50

1.00

1.50

2.00

2.50

0.255, 1.744

0.3222, 1.985750.3802, 2.2218 0.4313, 2.273

0.4771, 2.3631

Kurva Hubungan

Log H

Log

Q

Q No. H Q H^(3/2) Log H Q^(2/3) Log Q(mm^3)/s (mm) (liter/detik) (mm) (liter/detik)

6.8.E+05 1 25 0.679 125 1.398 0.772 5.8327.5.E+05 2 30 0.750 164.317 1.477 0.826 5.8758.8.E+05 3 35 0.876 207.063 1.544 0.916 5.9439.6.E+05 4 40 0.960 252.982 1.602 0.973 5.9821.0.E+06 5 45 1.037 301.869 1.653 1.024 6.016

sigma Cd =Cd rerata =

3 x Q

Lebar Weir : 76 mm

No. Q H xy x^2(x) (y)

1 6.8.E+05 25 1.7.E+07 4.6.E+112 7.5.E+05 30 2.3.E+07 5.6.E+113 8.8.E+05 35 3.1.E+07 7.7.E+114 9.6.E+05 40 3.8.E+07 9.2.E+115 1.0.E+06 45 4.7.E+07 1.1.E+12

Σ = 4.3.E+06 175 1.6.E+08 3.8.E+12

A = = 5.4.E-05

B = Σy - AΣx = -11.11n

Y' = Ax+B Y' = 5.4.E-05 x + -11.11

Setelah Regesi

x y'(Q)

6.8.E+05 25.277.5.E+05 29.108.8.E+05 35.859.6.E+05 40.331.0.E+06 44.45

No. Cd H xy x^2(x) (y)

1 0.77 25 19.13 0.592 0.64 30 19.31 0.41

Q = 0,16√h

Cd = 2 x B x √(2.g) x H^(3/2)

nΣxy - ΣxΣy n(Σx^2) - (Σx)^2

3 0.60 35 20.87 0.364 0.53 40 21.39 0.295 0.48 45 21.78 0.23

Σ = 3.02 175.00 102.48 1.88

A = = -71.70

B = Σy - AΣx = 78.36n

Y' = Ax+B Y' = -71.70 x + 78.36

Setelah Regesi

x y'(Cd)

0.765 23.500.644 32.220.596 35.600.535 40.020.484 43.66

No. Q Cd xy x^2(x) (y)

1 6.8.E+05 0.765 5.2.E+05 4.6.E+112 7.5.E+05 0.644 4.8.E+05 5.6.E+113 8.8.E+05 0.596 5.2.E+05 7.7.E+114 9.6.E+05 0.535 5.1.E+05 9.2.E+115 1.0.E+06 0.484 5.0.E+05 1.1.E+12

Σ = 4.3.E+06 3.02 2.5.E+06 3.8.E+12

A = = -7.2.E-07

B = Σy - AΣx = 1.22n

Y' = Ax+B Y' = -7.2.E-07 x + 1.22

Setelah Regesi

x y'(Q)



6.8.E+05 0.737.5.E+05 0.688.8.E+05 0.599.6.E+05 0.531.0.E+06 0.48

No. Log H Log Q xy x^2(x) (y)

1 1.398 5.832 8.152 1.9542 1.477 5.875 8.679 2.1823 1.544 5.943 9.176 2.3844 1.602 5.982 9.584 2.5675 1.653 6.016 9.945 2.733

Σ = 7.674 29.648 45.536 11.820

A = = 7.47.E-01

B = Σy - AΣx = 4.78n

Y' = Ax+B Y' = 7.47.E-01 x + 4.78

Setelah Regesi

x y'(Q)

1.398 5.8271.477 5.8861.544 5.9361.602 5.9801.653 6.018


Cdh

(mm)0.765 180.644 220.596 300.535 360.484 423.0240.605

0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.800

5

10

15

20

25

30

35

40

45

50

1; 23.50

2; 32.22

3; 35.60

4; 40.02

5; 43.66

Grafik HubunganSetalah Regersi

H

Cd

6.0.E+05 8.0.E+05 1.0.E+06 1.2.E+060.000

0.100

0.200

0.300

0.400

0.500

0.600

0.700

0.800

0.900

1; 0.73

2; 0.68

3; 0.59

4; 0.53

5; 0.48

Grafik HubunganSetalah Regresi

Q

Cd

1.350 1.400 1.450 1.500 1.550 1.600 1.650 1.7005.700

5.750

5.800

5.850

5.900

5.950

6.000

6.050

1; 5.832

2; 5.875

3; 5.943

4; 5.9825; 6.016

Hubungan antar Log H dan Log Q


Log H

Log Q

6.0.E+05 8.0.E+05 1.0.E+06 1.2.E+060.000

0.100

0.200

0.300

0.400

0.500

0.600

0.700

0.800

0.900

1; 0.73

2; 0.68

3; 0.59

4; 0.53

5; 0.48


Q

Cd

1.350 1.400 1.450 1.500 1.550 1.600 1.650 1.7005.700

5.750

5.800

5.850

5.900

5.950

6.000

6.050

1; 5.832

2; 5.875

3; 5.943

4; 5.9825; 6.016



Log H

Log Q

6.0.E+05 7.0.E+05 8.0.E+05 9.0.E+05 1.0.E+06 1.1.E+060

5

10

15

20

25

30

35

40

45

50

1; 25

2; 30

3; 35

4; 40

5; 45

Grafik HubunganSetelah Regresi

Hubungan Antara H dan Q

H

Q

6.0.E+05 7.0.E+05 8.0.E+05 9.0.E+05 1.0.E+06 1.1.E+060

5

10

15

20

25

30

35

40

45

50

1; 25

2; 30

3; 35

4; 40

5; 45


Hubungan Antara H dan Q

H

Q

1.350 1.400 1.450 1.500 1.550 1.600 1.650 1.7005.700

5.750

5.800

5.850

5.900

5.950

6.000

6.050

1; 5.832

2; 5.875

3; 5.943

4; 5.9825; 6.016



Log H

Log Q

Q No. dc du H Q H^(3/2) Log H(mm^3)/s (mm) (mm) (mm) (L/det)

6.4.E+05 1 12 125 25 0.64 125 1.3987.8.E+05 2 16 130 30 0.784 164.32 1.4779.1.E+05 3 18 135 35 0.905 207.06 1.5441.0.E+06 4 20 140 40 1.012 252.98 1.6021.1.E+06 5 23 145 45 1.061 301.87 1.653

Q

Lebar Weir (B) : 76 mm

No. Q H xy x^2(x) (y)

1 6.4.E+05 25 1.6.E+07 4.1.E+112 7.8.E+05 30 2.4.E+07 6.1.E+113 9.1.E+05 35 3.2.E+07 8.2.E+114 1.0.E+06 40 4.0.E+07 1.0.E+125 1.1.E+06 45 4.8.E+07 1.1.E+12

Σ = 4.4.E+06 175 1.6.E+08 4.0.E+12

A = = 4.5.E-05

B = Σy - AΣx = -5.03n

Y' = Ax+B Y' = 4.5.E-05 x + -5.03

Setelah Regesi

x y'(Q)

6.4.E+05 24.077.8.E+05 30.619.1.E+05 36.121.0.E+06 40.981.1.E+06 43.22

No. Cd H xy x^2(x) (y)

1 1.2.E+06 25 3.1.E+07 1.6.E+122 1.2.E+06 30 3.5.E+07 1.4.E+123 1.1.E+06 35 3.7.E+07 1.1.E+124 9.8.E+05 40 3.9.E+07 9.5.E+11

Q = 0,16√h

Cd = B x 53,91 x H^(3/2)

Tinggi bendung (p) = 100 mm


5 8.6.E+05 45 3.9.E+07 7.4.E+11Σ = 5.3.E+06 175.00 1.8.E+08 5.7.E+12

A = = -5.1.E-05

B = Σy - AΣx = 89.56n

Y' = Ax+B Y' = -5.1.E-05 x + 89.56

Setelah Regesi

x y'(Cd)1.2.E+06 25.421.2.E+06 29.801.1.E+06 34.809.8.E+05 39.458.6.E+05 45.52

No. Q Cd xy x^2(x) (y)

1 6.4.E+05 1.2.E+06 8.0.E+11 4.1.E+112 7.8.E+05 1.2.E+06 9.1.E+11 6.1.E+113 9.1.E+05 1.1.E+06 9.7.E+11 8.2.E+114 1.0.E+06 9.8.E+05 9.9.E+11 1.0.E+125 1.1.E+06 8.6.E+05 9.1.E+11 1.1.E+12

Σ = 4.4.E+06 5.3.E+06 4.6.E+12 4.0.E+12

A = = -0.87

B = Σy - AΣx = 1.8.E+06n

Y' = Ax+B Y' = -0.87 x + 1.8.E+06

Setelah Regesi

x y'(Q)

6.4.E+05 1.3.E+067.8.E+05 1.1.E+069.1.E+05 1.0.E+061.0.E+06 9.5.E+051.1.E+06 9.0.E+05



No. Log H Log Q xy x^2(x) (y)

1 1.398 6.4.E+05 8.9.E+05 1.9542 1.477 7.8.E+05 1.2.E+06 2.1823 1.544 9.1.E+05 1.4.E+06 2.3844 1.602 1.0.E+06 1.6.E+06 2.5675 1.653 1.1.E+06 1.8.E+06 2.733

Σ = 7.674 4.4.E+06 6.8.E+06 11.820

A = = 1.70.E+06

B = Σy - AΣx = -1.7.E+06n

Y' = Ax+B Y' = 1.70.E+06 x + -1.7.E+06

Setelah Regesi

x y'(Q)

1.398 6.5.E+051.477 7.8.E+051.544 9.0.E+051.602 9.9.E+051.653 1.1.E+06


Log Q h Cd

5.806 16 1.2.E+065.894 24 1.2.E+065.957 32 1.1.E+066.005 40 9.8.E+056.026 44 8.6.E+05

5.3.E+06Cd rerata = 1.8.E+06

6.0.E+05 7.0.E+05 8.0.E+05 9.0.E+05 1.0.E+06 1.1.E+0605

101520253035404550

1; 252; 30

3; 354; 40

5; 45

Hubungan antara H dan Q


H

Q

8.0.E+05 9.0.E+05 1.0.E+06 1.1.E+06 1.2.E+06 1.3.E+0605

101520253035404550

1; 252; 30

3; 35

4; 405; 45

Hubungan antara H dan Cd


Cd

H

1.350 1.400 1.450 1.500 1.550 1.600 1.650 1.7000.0.E+00

2.0.E+05

4.0.E+05

6.0.E+05

8.0.E+05

1.0.E+06

1.2.E+06

1; 6.4.E+05

2; 7.8.E+053; 9.1.E+05

4; 1.0.E+065; 1.1.E+06

Hubungan antara Log H dan Log Q


Log H

Log Q

6.0.E+05 7.0.E+05 8.0.E+05 9.0.E+05 1.0.E+06 1.1.E+060.0.E+00

2.0.E+05

4.0.E+05

6.0.E+05

8.0.E+05

1.0.E+06

1.2.E+06

1.4.E+061; 1.2.E+06

2; 1.2.E+063; 1.1.E+06

4; 9.8.E+055; 8.6.E+05

Hubungan antara Q dan Cd


Cd

Q

6.0.E+05 7.0.E+05 8.0.E+05 9.0.E+05 1.0.E+06 1.1.E+060.0.E+00

2.0.E+05

4.0.E+05

6.0.E+05

8.0.E+05

1.0.E+06

1.2.E+06

1.4.E+061; 1.2.E+06

2; 1.2.E+063; 1.1.E+06

4; 9.8.E+055; 8.6.E+05



Cd

Q

6.0.E+05 7.0.E+05 8.0.E+05 9.0.E+05 1.0.E+06 1.1.E+0605

101520253035404550

1; 252; 30

3; 354; 40

5; 45

Hubungan antara H dan Q


H

Q

8.0.E+05 9.0.E+05 1.0.E+06 1.1.E+06 1.2.E+06 1.3.E+0605

101520253035404550

1; 252; 30

3; 35

4; 405; 45

Hubungan antara H dan Cd


Cd

H

1.350 1.400 1.450 1.500 1.550 1.600 1.650 1.7000.0.E+00

2.0.E+05

4.0.E+05

6.0.E+05

8.0.E+05

1.0.E+06

1.2.E+06

1; 6.4.E+05

2; 7.8.E+053; 9.1.E+05

4; 1.0.E+065; 1.1.E+06

Hubungan antara Log H dan Log Q


Log H

Log Q

6.0.E+05 7.0.E+05 8.0.E+05 9.0.E+05 1.0.E+06 1.1.E+060.0.E+00

2.0.E+05

4.0.E+05

6.0.E+05

8.0.E+05

1.0.E+06

1.2.E+06

1.4.E+061; 1.2.E+06

2; 1.2.E+063; 1.1.E+06

4; 9.8.E+055; 8.6.E+05



Cd

Q

6.0.E+05 7.0.E+05 8.0.E+05 9.0.E+05 1.0.E+06 1.1.E+060.0.E+00

2.0.E+05

4.0.E+05

6.0.E+05

8.0.E+05

1.0.E+06

1.2.E+06

1.4.E+061; 1.2.E+06

2; 1.2.E+063; 1.1.E+06

4; 9.8.E+055; 8.6.E+05



Cd

Q

No. Yg Y0 Y1 Q A0(mm) (mm) (mm) (L/det) (mm^2)

1 15 110 10.4 1.11 83602 20 110 12.4 1.31 83603 25 110 16.5 1.72 83604 30 110 20.5 2.1 83605 35 110 23.4 2.37 8360

No. Yg Cd XY X^2(X) (Y)

1 0.15 0.663 0.099 0.0232 0.2 0.587 0.117 0.0403 0.25 0.616 0.154 0.0634 0.3 0.627 0.188 0.0905 0.35 0.606 0.212 0.122

Σ = 1.25 3.099 0.771 0.337

A = -0.145B = 0.656

No. Y1 Cd XY X^2(X) (Y)

1 0.104 0.663 0.069 0.0112 0.124 0.587 0.073 0.0153 0.165 0.616 0.102 0.0274 0.205 0.627 0.129 0.0425 0.234 0.606 0.142 0.055

Σ = 0.832 3.099 0.514 0.150

A = -0.161B = 0.647

No. E0 Cd XY X^2(X) (Y)

1 1.109 0.663 0.735 1.2302 1.113 0.587 0.653 1.2383 1.122 0.616 0.691 1.2584 1.132 0.627 0.710 1.2825 1.141 0.606 0.692 1.302

Σ = 5.616 3.099 3.481 6.309

A = -0.592B = 1.285

No. Yg/Yo Cd XY X^2(X) (Y)

1 0.136 0.663 0.090 0.019

2 0.182 0.587 0.107 0.0333 0.227 0.616 0.140 0.0524 0.273 0.627 0.171 0.0745 0.318 0.606 0.193 0.101

Σ = 1.136 3.099 0.701 0.279

A = -0.159B = 0.656

A1 V0 V1 E0 E1 C(d)(mm^2) Dm/det Dm/det (Dm) (Dm) (L/det)

790.4 1.328 14.044 1.109 1.109 0.663942.4 1.567 13.901 1.113 1.109 0.5871254 2.057 13.716 1.122 1.124 0.6161558 2.512 13.479 1.132 1.131 0.627

1778.4 2.835 13.327 1.141 1.139 0.606

Sigma Cd = 3.099Cd Rerata = 0.620

X Y'(Yg)

0.15 0.6340.2 0.627

0.25 0.6200.3 0.613

0.35 0.605

X Y'(Y1)

0.104 0.6300.124 0.6270.165 0.6200.205 0.6140.234 0.609

X Y'(E0)

1.109 0.6281.113 0.6261.122 0.6211.132 0.6151.141 0.609

X Y'(Yg/Yo)

0.136 0.634

0.1 0.15 0.2 0.25 0.3 0.35 0.40.540

0.560

0.580

0.600

0.620

0.640

0.660

0.680

1; 0.6342; 0.627

3; 0.6204; 0.613

1; 0.663

2; 0.587

3; 0.6164; 0.627

5; 0.606

Hubungan Antara Cd dan Yg

Sebelum RegresiSetelah Regresi

Yg (Dm)

Cd(Lit/det)

0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22 0.24 0.260.540

0.560

0.580

0.600

0.620

0.640

0.660

0.680

1; 0.6302; 0.6273; 0.620

4; 0.614

1; 0.663

2; 0.587

3; 0.6164; 0.627

5; 0.606

Hubungan Antara Y1 dan Cd


Cd

Y1

1.105 1.110 1.115 1.120 1.125 1.130 1.135 1.140 1.1450.540

0.560

0.580

0.600

0.620

0.640

0.660

0.680

1; 0.6282; 0.626 3; 0.6214; 0.615

1; 0.663

2; 0.587

3; 0.6164; 0.627

5; 0.606

Hubungan Antara Eo dan Cd


Cd

Eo

0.182 0.6270.227 0.6200.273 0.6130.318 0.605

1.105 1.110 1.115 1.120 1.125 1.130 1.135 1.140 1.1450.540

0.560

0.580

0.600

0.620

0.640

0.660

0.680

1; 0.6282; 0.626 3; 0.6214; 0.615

1; 0.663

2; 0.587

3; 0.6164; 0.627

5; 0.606



Cd

Eo

0.100 0.150 0.200 0.250 0.300 0.3500.540

0.560

0.580

0.600

0.620

0.640

0.660

0.680

1; 0.6342; 0.627

3; 0.6204; 0.613

1; 0.663

2; 0.587

3; 0.6164; 0.627

5; 0.606

Hubungan Antara Cd dan Yg/Yo


Cd

Yg/Yo

0.1 0.15 0.2 0.25 0.3 0.35 0.40.540

0.560

0.580

0.600

0.620

0.640

0.660

0.680

1; 0.6342; 0.627

3; 0.6204; 0.613

1; 0.663

2; 0.587

3; 0.6164; 0.627

5; 0.606

Hubungan Antara Cd dan Yg


Yg (Dm)

Cd(Lit/det)

0.08 0.1 0.12 0.14 0.16 0.18 0.2 0.22 0.24 0.260.540

0.560

0.580

0.600

0.620

0.640

0.660

0.680

1; 0.6302; 0.6273; 0.620

4; 0.614

1; 0.663

2; 0.587

3; 0.6164; 0.627

5; 0.606

Hubungan Antara Y1 dan Cd


Cd

Y1

1.105 1.110 1.115 1.120 1.125 1.130 1.135 1.140 1.1450.540

0.560

0.580

0.600

0.620

0.640

0.660

0.680

1; 0.6282; 0.626 3; 0.6214; 0.615

1; 0.663

2; 0.587

3; 0.6164; 0.627

5; 0.606



Cd

Eo

1.105 1.110 1.115 1.120 1.125 1.130 1.135 1.140 1.1450.540

0.560

0.580

0.600

0.620

0.640

0.660

0.680

1; 0.6282; 0.626 3; 0.6214; 0.615

1; 0.663

2; 0.587

3; 0.6164; 0.627

5; 0.606



Cd

Eo

0.100 0.150 0.200 0.250 0.300 0.3500.540

0.560

0.580

0.600

0.620

0.640

0.660

0.680

1; 0.6342; 0.627

3; 0.6204; 0.613

1; 0.663

2; 0.587

3; 0.6164; 0.627

5; 0.606

Hubungan Antara Cd dan Yg/Yo


Cd

Yg/Yo

No. Yg Y0 Y1 Q A0(mm) (mm) (mm) (L/det) (mm^2)

1 15 110 10.4 1.11 83602 20 110 12.4 1.31 83603 25 110 16.5 1.72 83604 30 110 20.5 2.1 83605 35 110 23.4 2.37 8360

No. Yc E(min) XY X^2X Y

1 0.026 0.038 0.0010 0.0012 0.029 0.043 0.0012 0.0013 0.034 0.051 0.0018 0.0014 0.039 0.059 0.0023 0.0025 0.042 0.064 0.0027 0.002

Σ = 0.170 0.255 0.009 0.006

A = 1.5B = -2.55E-16

No. Yc Yg XY X^2X Y

1 25.58 15 383.76 654.552 28.57 20 571.44 816.353 34.26 25 856.48 1173.684 39.14 30 1174.06 1531.585 42.42 35 1484.76 1799.61

Σ = 169.972 125.00 4470.50 5975.77

A = 1.12B = -13.04

No. Y1 E1 XY X^2X Y

1 10.40 111 1153.57 108.162 12.40 111 1374.98 153.763 16.50 112 1854.40 272.254 20.50 113 2318.52 420.255 23.40 114 2665.70 547.56

Σ = 83.200 561.21 9367.17 1501.98

A = 0.24B = 108.19

No. Eo Yo XY X^2X Y

1 110.90 110 12198.84 12298.482 111.25 110 12237.67 12376.903 112.16 110 12337.32 12579.304 113.22 110 12453.77 12817.885 114.10 110 12550.59 13017.95

Σ = 561.620 550.00 61778.18 63090.51

A = 0.00B = 110.00

110.00 111.00 112.00 113.00 114.00 115.000.00

20.00

40.00

60.00

80.00

100.00

120.00

1; 1102; 110

3; 110

4; 110

5; 110

Hubungan Antara Eo dan Yo

Garis Regresi Berhimpit

Yo

Eo

A1 V0 V1 E0 E1 C(d) yc Vc E(min) Nf(mm^2) Dm/det Dm/det (Dm) (Dm) (L/det) (Dm) m/s (meter)

790.4 1.328 14.044 1.109 1.109 0.663 0.256 0.501 0.038 1942.4 1.567 13.901 1.113 1.109 0.587 0.286 0.529 0.043 11254 2.057 13.716 1.122 1.124 0.616 0.343 0.580 0.051 11558 2.512 13.479 1.132 1.131 0.627 0.391 0.620 0.059 1

1778.4 2.835 13.327 1.141 1.139 0.606 0.424 0.645 0.064 1

Yc Y'(X)0.026 0.03840.029 0.04290.034 0.05140.039 0.05870.042 0.0636

Yc Y'(X)25.58 15.5928.57 18.9334.26 25.3039.14 30.7542.42 34.43

Yc Y'(X)10.40 110.7212.40 111.2116.50 112.2120.50 113.1823.40 113.89

0.020 0.025 0.030 0.035 0.040 0.0450.000

0.010

0.020

0.030

0.040

0.050

0.060

0.070

1; 0.03842; 0.0429

3; 0.05144; 0.0587

5; 0.0636

1; 0.0382; 0.043

3; 0.0514; 0.059

5; 0.064

Hubungan Antara Yc dan Emin

Garis Regresi = Garis Hubungan

Yc

Emin

24.00 26.00 28.00 30.00 32.00 34.00 36.00 38.00 40.00 42.00 44.000

5

10

15

20

25

30

35

40

1; 15

2; 20

3; 25

4; 30

5; 35

Hubungan Antara Yc dan Yg


Yg

Yc

8.00 10.00 12.00 14.00 16.00 18.00 20.00 22.00 24.00 26.00109

110

111

112

113

114

115

1; 110.72 2; 111.21

3; 112.21

4; 113.18

5; 113.89

1; 111

2; 111

3; 112

4; 113

5; 114

Hubungan Antara Y1 dan E1


E1

Y1

Yc Y'(X)110.90 110.00111.25 110.00112.16 110.00113.22 110.00114.10 110.00

8.00 10.00 12.00 14.00 16.00 18.00 20.00 22.00 24.00 26.00109

110

111

112

113

114

115

1; 110.72 2; 111.21

3; 112.21

4; 113.18

5; 113.89

1; 111

2; 111

3; 112

4; 113

5; 114



E1

Y1

110.00 111.00 112.00 113.00 114.00 115.000.00

20.00

40.00

60.00

80.00

100.00

120.00

1; 1102; 110

3; 110

4; 110

5; 110

Hubungan Antara Eo dan Yo

Garis Regresi Berhimpit

Yo

Eo

y1 E1 yc E0 Y00.0104 0.11092 0.0256 0.1109 0.110.0124 0.110886 0.0286 0.1113 0.110.0165 0.112388 0.0343 0.1122 0.110.0205 0.113099 0.0391 0.1132 0.110.0234 0.113919 0.0424 0.1141 0.11

x yEspesifik 0 = 0.1123 0.11Espesifik 1 = 0.1122 0.02Espesifik min = 0.0510 0.0340

0.020 0.025 0.030 0.035 0.040 0.0450.000

0.010

0.020

0.030

0.040

0.050

0.060

0.070

1; 0.03842; 0.0429

3; 0.05144; 0.0587

5; 0.0636

1; 0.0382; 0.043

3; 0.0514; 0.059

5; 0.064

Hubungan Antara Yc dan Emin

Garis Regresi = Garis Hubungan

Yc

Emin

24.00 26.00 28.00 30.00 32.00 34.00 36.00 38.00 40.00 42.00 44.000

5

10

15

20

25

30

35

40

1; 15

2; 20

3; 25

4; 30

5; 35

Hubungan Antara Yc dan Yg


Yg

Yc

8.00 10.00 12.00 14.00 16.00 18.00 20.00 22.00 24.00 26.00109

110

111

112

113

114

115

1; 110.72 2; 111.21

3; 112.21

4; 113.18

5; 113.89

1; 111

2; 111

3; 112

4; 113

5; 114



E1

Y1

0.0400 0.0500 0.06000.07000.08000.0900 0.10000.1100 0.12000

0.02

0.04

0.06

0.08

0.1

0.12

0.0340

0.02

0.11

Grafik Energy

Grafik Energy Spesifiky(meter)

E(meter)

Sub Kritis

Super Kritis

ϴ

8.00 10.00 12.00 14.00 16.00 18.00 20.00 22.00 24.00 26.00109

110

111

112

113

114

115

1; 110.72 2; 111.21

3; 112.21

4; 113.18

5; 113.89

1; 111

2; 111

3; 112

4; 113

5; 114



E1

Y1

0.0400 0.0500 0.06000.07000.08000.0900 0.10000.1100 0.12000

0.02

0.04

0.06

0.08

0.1

0.12

0.0340

0.02

0.11

Grafik Energy

Grafik Energy Spesifiky(meter)

E(meter)

Sub Kritis

Super Kritis

ϴ

Yg Yo Y1 Y3 Q A1 A3 V1 V3(mm) (mm) (mm) (mm) (L/det) (mm^2) (mm^2) (m/det) (m/det)

15 100 10 65 1.2 760 4940 1.579 0.24320 100 12 73 1.5 912 5548 1.645 0.27025 100 15 76 1.7 1140 5776 1.491 0.29430 100 19.5 81 2.3 1482 6156 1.552 0.37435 100 22.5 84 2.5 1710 6384 1.462 0.392

0.0020 0.0030 0.0040 0.0050 0.00600.000

1.000

2.000

3.000

4.000

5.000

6.000

7.000

f(x) = − 1119.08763849845 x + 9.34668842918361R² = 0.918762926942732

Grafik HubunganLinear (Grafik Hubungan)

V12/g.y1

y3/y1

Hubungan Antara V12/g.y1 Dan y3/y1

0.0020 0.0030 0.0040 0.0050 0.00600.000

1.000

2.000

3.000

4.000

5.000

6.000

7.000

f(x) = − 2021.74990227765 x + 11.3328838500062R² = 0.89651335701941

Hubungan Antara V12/g.y1 dan H/y1


V12/g.y1

H/y1

10 15 20 25 30 35 400

102030405060708090

f(x) = 0.92 x + 52.8R² = 0.96709323583181

Hubungan Antara y3 dan y1


yg (mm)

y3(mm)

10 15 20 25 30 35 400

102030405060708090

f(x) = 0.92 x + 52.8R² = 0.96709323583181



yg (mm)

y3(mm)

E1 E3 V1^2/(gxy1) Y3 H Yc(m) (m) Y1 Y1 (cm)

0.137 0.068 0.0025 6.500 6.399 2.9660.150 0.077 0.0033 6.083 5.398 3.4420.128 0.080 0.0034 5.067 3.318 3.7410.142 0.088 0.0048 4.154 1.888 4.5770.131 0.092 0.0049 3.733 1.367 4.838

0.0020 0.0030 0.0040 0.0050 0.00600.000

1.000

2.000

3.000

4.000

5.000

6.000

7.000

f(x) = − 1119.08763849845 x + 9.34668842918361R² = 0.918762926942732


V12/g.y1

y3/y1

Hubungan Antara V12/g.y1 Dan y3/y1

3.500 4.000 4.500 5.000 5.500 6.000 6.500 7.0000.000

1.000

2.000

3.000

4.000

5.000

6.000

7.000

f(x) = 1.82125619356531 x − 5.62772242536908R² = 0.991673529002579

Hubungan Antara y3/y1 Dan H/y1


y3/y1

H/y1

0.0020 0.0030 0.0040 0.0050 0.00600.000

1.000

2.000

3.000

4.000

5.000

6.000

7.000

f(x) = − 2021.74990227765 x + 11.3328838500062R² = 0.89651335701941

Hubungan Antara V12/g.y1 dan H/y1


V12/g.y1

H/y1

10 15 20 25 30 35 400.000

1.000

2.000

3.000

4.000

5.000

6.000

7.000

f(x) = − 0.14925641025641 x + 8.83884615384615R² = 0.978668071452041

Hubungan Antara yg dan y3/y1


yg

y3/y1

10 15 20 25 30 35 400

102030405060708090

f(x) = 0.92 x + 52.8R² = 0.96709323583181



yg (mm)

y3(mm)

10 15 20 25 30 35 400

102030405060708090

f(x) = 0.92 x + 52.8R² = 0.96709323583181



yg (mm)

y3(mm)

No Q Y I V P R A(L/det) (mm) (%) (dm/det) (mm) (mm) (mm^2)

1 1.2 34.63 0 4.56 145.26 18.12 2631.882 1.2 29.97 0.5 5.27 135.94 16.76 2277.723 1.2 27.93 1.0 5.65 131.86 16.10 2122.684 1.2 26.03 1.5 6.07 128.06 15.45 1978.285 1.2 23.37 2.0 6.76 122.74 14.47 1776.12

sigma n =n rerata =

No. I Y xy X^2(X) (y)

1 0 34.63 0 02 0.5 29.97 14.99 0.253 1 27.93 27.93 14 1.5 26.03 39.05 2.255 2 23.37 46.74 4

Σ = 5 141.9 128.7 7.5

A = = -5.292

B = Σy - AΣx = 33.678n

Y' = AX + B = -5.292 X + 33.678

Setelah Regresi :

I Y'(X)

0 33.680.5 31.03

1 28.391.5 25.74

2 23.09

No. I n xy X^2(X) (y)

1 0 0 0 02 0.5 0.04 0.02 0.253 1 0.05 0.05 14 1.5 0.06 0.09 2.255 2 0.06 0.12 4

Σ = 5 0.21 0.28 7.5

nΣxy - ΣxΣy n(Σx^2) - Σ(x^2)

A = = 0.0265

B = Σy - AΣx = 0.0152n

Y' = AX + B = 0.027 X + 0.015

Setelah Regresi :

I Y'(X)

0 0.020.5 0.03

1 0.041.5 0.06

2 0.07

No. I V xy X^2 No.(X) (y)

1 0 4.56 0 0 12 0.5 5.27 2.63 0.25 23 1 5.65 5.65 1 34 1.5 6.07 9.10 2.25 45 2 6.76 13.51 4 5

Σ = 5 28.30 30.90 7.5 Σ =

A = = 1.04 A =

B = Σy - AΣx = 4.62 B =n

Y' = AX + B = 1.04 X + 4.62 Y' =

Setelah Regresi :

I Y'(X)

0 4.620.5 5.14

1 5.661.5 6.18

2 6.70



0 0.5 1 1.5 2 2.50.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

1; 4.622; 5.14

3; 5.664; 6.18

5; 6.70

1; 4.562; 5.27

3; 5.654; 6.07

5; 6.76

Hubungan Antara I dan V


V

I(%)

(dm/det)

0 0.5 1 1.5 2 2.50.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

1; 4.622; 5.14

3; 5.664; 6.18

5; 6.70

1; 4.562; 5.27

3; 5.654; 6.07

5; 6.76



V

I(%)

(dm/det)

n

00.0410.0520.0580.0580.2090.042

n V xy X^2(X) (y)

0 4.56 0 00.04 5.27 0.21 0.0020.05 5.65 0.30 0.0030.06 6.07 0.35 0.0030.06 6.76 0.39 0.0030.21 28.30 1.25 0.011

= 29.59

Σy - AΣx = 4.42n

AX + B = 29.59 X + 4.42

Setelah Regresi :

n Y'(X)

0 4.420.041 5.630.052 5.970.058 6.140.058 6.13


0 0.5 1 1.5 2 2.50.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

1; 4.622; 5.14

3; 5.664; 6.18

5; 6.70

1; 4.562; 5.27

3; 5.654; 6.07

5; 6.76



V

I(%)

(dm/det)

0 0.01 0.02 0.03 0.04 0.05 0.06 0.070.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

1; 4.42

2; 5.63 3; 5.974; 6.145; 6.13

1; 4.56 2; 5.27

3; 5.65 4; 6.07

5; 6.76

Hubungan Antara V dan n


n

V(dm/det)

0 0.5 1 1.5 2 2.50

5

10

15

20

25

30

35

40

1; 33.682; 31.03

3; 28.394; 25.74

5; 23.09

1; 34.63

2; 29.973; 27.93

4; 26.035; 23.37

Hubungan Antara I dan Y


Y(mm)

I (%)

0 0.5 1 1.5 2 2.50

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

1; 0.02

2; 0.03

3; 0.04

4; 0.06

5; 0.07

1; 0

2; 0.041

3; 0.0524; 0.058 5; 0.058

Hubungan Antara I dan n


n

I

0 0.5 1 1.5 2 2.50.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

1; 4.622; 5.14

3; 5.664; 6.18

5; 6.70

1; 4.562; 5.27

3; 5.654; 6.07

5; 6.76



V

I(%)

(dm/det)

0 0.5 1 1.5 2 2.50

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

1; 0.02

2; 0.03

3; 0.04

4; 0.06

5; 0.07

1; 0

2; 0.041

3; 0.0524; 0.058 5; 0.058



n

I

0 0.01 0.02 0.03 0.04 0.05 0.06 0.070.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

1; 4.42

2; 5.63 3; 5.974; 6.145; 6.13

1; 4.56 2; 5.27

3; 5.65 4; 6.07

5; 6.76

Hubungan Antara V dan n


n

V(dm/det)

0 0.5 1 1.5 2 2.50

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

1; 0.02

2; 0.03

3; 0.04

4; 0.06

5; 0.07

1; 0

2; 0.041

3; 0.0524; 0.058 5; 0.058



n

I

0 0.5 1 1.5 2 2.50

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

1; 0.02

2; 0.03

3; 0.04

4; 0.06

5; 0.07

1; 0

2; 0.041

3; 0.0524; 0.058 5; 0.058



n

I

No. Pengisian y^2 m X(ca) X(ct)Berat(m) Tinggi(y) (cm^2) y^2 (cm) (cm)

1 30 35 12.25 2.45 17.72 18.832 60 50 25 2.40 17.37 18.333 90 62 38.44 2.34 16.94 17.934 120 73 53.29 2.25 16.30 17.575 150 80 64 2.34 16.96 17.336 180 90 81 2.22 16.08 17.007 220 100 100 2.20 15.92 16.67

L = 27,5 cm a = 10 cm X(ca) rerata = 16.76 cmB = 7,6 cm z = 10 cm X(ct) rerata = 17.67 cm

X(ca) = 2 x m x LB x y^2

X(ct) = a + z - 1/3 x y

No. X(ca) X(ct) xy x^2(X) (Y)

1 17.72 18.83 333.781 314.102 17.37 18.33 318.421 301.663 16.94 17.93 303.857 287.094 16.30 17.57 286.269 265.565 16.96 17.33 293.997 287.696 16.08 17.00 273.392 258.637 15.92 16.67 265.351 253.48

Σ = 117.30 123.67 2075.07 1968.21

A = = 1.036

B = Σy - AΣx = 0.31n

Y' = Ax+B Y' = 1.036 X + 0.31

Setelah Regresi

X(ca) Y'(X)17.72 18.66717.37 18.30016.94 17.86116.30 17.19016.96 17.879


15.50 16.00 16.50 17.00 17.50 18.0015.50

16.00

16.50

17.00

17.50

18.00

18.50

19.001; 18.83

2; 18.33

3; 17.93

4; 17.575; 17.33

6; 17.00

7; 16.67


Xca

Xct

0.00 20.00 40.00 60.00 80.00 100.00 120.002.05

2.10

2.15

2.20

2.25

2.30

2.35

2.40

2.45

2.50

1; 2.45

2; 2.40

3; 2.34

4; 2.25

5; 2.34

6; 2.227; 2.20


m/y^2

16.08 16.96815.92 16.801

No. Y^2 m/Y^2 xy x^2(X) (Y)

1 12.25 2.45 30.000 150.062 25.00 2.40 60.000 625.003 38.44 2.34 90.000 1477.634 53.29 2.25 120.000 2839.825 64.00 2.34 150.000 4096.006 81.00 2.22 180.000 6561.007 100.00 2.20 220.000 10000.00

Σ = 373.98 16.21 850.00 25749.52

A = = -0.00276

B = Σy - AΣx = 2.46n

Y' = Ax+B Y' = -0.00276 X + 2.46

Setelah Regresi

Y^2 Y'(X)12.25 2.42925.00 2.39438.44 2.35753.29 2.31664.00 2.28681.00 2.239

100.00 2.187


0.00 20.00 40.00 60.00 80.00 100.00 120.002.05

2.10

2.15

2.20

2.25

2.30

2.35

2.40

2.45

2.50

1; 2.45

2; 2.40

3; 2.34

4; 2.25

5; 2.34

6; 2.227; 2.20


m/y^2

15.50 16.00 16.50 17.00 17.50 18.0015.50

16.00

16.50

17.00

17.50

18.00

18.50

19.001; 18.83

2; 18.33

3; 17.93

4; 17.575; 17.33

6; 17.00

7; 16.67


Xca

Xct

0.00 20.00 40.00 60.00 80.00 100.00 120.002.05

2.10

2.15

2.20

2.25

2.30

2.35

2.40

2.45

2.50

1; 2.45

2; 2.40

3; 2.34

4; 2.25

5; 2.34

6; 2.227; 2.20


m/y^2

0.00 20.00 40.00 60.00 80.00 100.00 120.002.05

2.10

2.15

2.20

2.25

2.30

2.35

2.40

2.45

2.50

1; 2.45

2; 2.40

3; 2.34

4; 2.25

5; 2.34

6; 2.227; 2.20


m/y^2

No. Pengisian y^2 m X(ca) X(ct)Berat(m) Tinggi(y) (cm^2) y^2 (cm) (cm)

1 250 108 116.64 2.14 15.51 16.402 280 115 132.25 2.12 15.32 16.173 310 123 151.29 2.05 14.83 15.904 340 128 163.84 2.08 15.02 15.735 370 135 182.25 2.03 14.69 15.506 400 143 204.49 1.96 14.16 15.237 460 160 256 1.80 13.00 14.67

L = 27,5 cm a = 10 cm X(ca) rerata = 14.65 cmB = 7,6 cm b = 10 cm X(ct) rerata = 15.66 cm

X(ca) = 2 x m x LB x y^2

X(ct) = a + z - 1/3 x y

No. X(ca) X(ct) xy x^2(X) (Y)

1 15.51 16.40 254.381 240.592 15.32 16.17 247.703 234.763 14.83 15.90 235.775 219.894 15.02 15.73 236.281 225.545 14.69 15.50 227.727 215.866 14.16 15.23 215.641 200.397 13.00 14.67 190.721 169.10

Σ = 102.53 109.60 1608.23 1506.12

A = = 0.669

B = Σy - AΣx = 5.86n

Y' = Ax+B Y' = 0.669 X + 5.86

Setelah Regresi

X(ca) Y'(X)15.51 16.23515.32 16.10814.83 15.77815.02 15.90514.69 15.68714.16 15.32813.00 14.558


12.50 13.00 13.50 14.00 14.50 15.00 15.50 16.0013.50

14.00

14.50

15.00

15.50

16.00

16.50

17.00

1; 16.402; 16.17

3; 15.904; 15.73

5; 15.506; 15.23

7; 14.67

Hubungan antara Xca dan X ct

Grafik HubunganSetelah Regersi

Xca

Xct

100.00 120.00 140.00 160.00 180.00 200.00 220.00 240.00 260.00 280.000.00

0.50

1.00

1.50

2.00

2.50

1; 2.1602; 2.122

3; 2.0754; 2.0455; 2.000

6; 1.946

7; 1.821

Hubungan Antara m/y^2 dan y^2


m/y^2

No. Y^2 m/Y^2 xy x^2(X) (Y)

1 116.64 2.14 250.000 13604.892 132.25 2.12 280.000 17490.063 151.29 2.05 310.000 22888.664 163.84 2.08 340.000 26843.555 182.25 2.03 370.000 33215.066 204.49 1.96 400.000 41816.167 256.00 1.80 460.000 65536.00

Σ = 1206.76 14.17 2410.00 221394.38

A = = -0.00243

B = Σy - AΣx = 2.44n

Y' = Ax+B Y' = -0.00243 X + 2.44

Setelah Regresi

Y^2 Y'(X)116.64 2.160132.25 2.122151.29 2.075163.84 2.045182.25 2.000204.49 1.946256.00 1.821


100.00 120.00 140.00 160.00 180.00 200.00 220.00 240.00 260.00 280.000.00

0.50

1.00

1.50

2.00

2.50

1; 2.1602; 2.122

3; 2.0754; 2.0455; 2.000

6; 1.946

7; 1.821



m/y^2

12.50 13.00 13.50 14.00 14.50 15.00 15.50 16.0013.50

14.00

14.50

15.00

15.50

16.00

16.50

17.00

1; 16.402; 16.17

3; 15.904; 15.73

5; 15.506; 15.23

7; 14.67

Hubungan antara Xca dan X ct

Grafik HubunganSetelah Regersi

Xca

Xct

100.00 120.00 140.00 160.00 180.00 200.00 220.00 240.00 260.00 280.000.00

0.50

1.00

1.50

2.00

2.50

1; 2.1602; 2.122

3; 2.0754; 2.0455; 2.000

6; 1.946

7; 1.821



m/y^2

100.00 120.00 140.00 160.00 180.00 200.00 220.00 240.00 260.00 280.000.00

0.50

1.00

1.50

2.00

2.50

1; 2.1602; 2.122

3; 2.0754; 2.0455; 2.000

6; 1.946

7; 1.821



m/y^2

TABEL PERCOBAAN GLISEROL

Jenis SphereDiameter Berat Waktu Kecepatan kecepatan rerata V

(mm) (gram) (detik) (cm/det) (cm/det) (cm^3)3.3 30.303

3.38 29.5866.35 1.0346 3.4 29.412 29.718 0.134

3.45 28.986Steel 3.3 30.303

2 50.0002.05 48.780

9.5 3.5146 2 50.000 48.942 0.4492.1 47.619

2.07 48.30911.05 9.050

10.5 9.5246.35 0.5146 10.6 9.434 9.356 0.134

10 10.000Ceramic 11.4 8.772

17.2 5.81417 5.882

9.5 1.7446 17.01 5.879 5.841 0.44917.05 5.86517.35 5.764

catatan :Tinggi = 100 cm

Temp. = 30 celcius0.88 gr/cm^3

g = 981 cm/det^2

TABEL PERCOBAAN OLI

Jenis SphereDiameter Berat Waktu Kecepatan kecepatan rerata V

(mm) (gram) (detik) (cm/det) (cm/det) (cm^3)2.35 42.553

2.4 41.6676.35 1.0346 2.55 39.216 39.703 0.134

2.72 36.765Steel 2.61 38.314

1.8 55.5561.5 66.667

9.5 3.5146 1.47 68.027 66.828 0.4491.4 71.429

1.38 72.4646.3 15.873

6.35 15.7486.35 0.5146 6.45 15.504 15.730 0.134

6.55 15.267Ceramic 6.15 16.260

3.5 28.5713.45 28.986

ρ =

9.5 1.7446 3.6 27.778 28.464 0.4493.55 28.1693.47 28.818

Steelμ Cd Re No. Cd

(gr/cm^3) (gr/cm^2.det^2) (gr/cm^2.det^2) (gr/cm.dt) 1 14.6222 8.1983 8.192

7.721 863.28 7574.290 1.606 14.622 10.339 4 4.397

CeramicNo. Cd

1 63.8417.833 863.28 7684.148 3.319 8.198 12.327 2 249.022

3 22.5834 10.485

3.840 863.28 3767.378 2.208 63.841 2.368

3.888 863.28 3814.307 12.033 249.022 0.406

μ Cd Re(gr/cm^3) (gr/cm^2.det^2) (gr/cm^2.det^2) (gr/cm.dt)

7.721 863.28 7574.290 1.202 8.192 18.454

7.833 863.28 7684.148 2.431 4.397 22.984

3.840 863.28 3767.378 1.313 22.583 6.694

ρs yf ys

ρs yf ys

5.000 10.000 15.000 20.000 25.0000.000

2.000

4.000

6.000

8.000

10.000

12.000

14.000

16.0001; 14.622

2; 8.1983; 8.192

4; 4.397

Hubungan Antara Cd Dan Re pada Steel


Re

Cd

0.0002.000

4.0006.000

8.000

10.000

12.0000.000

50.000

100.000

150.000

200.000

250.000

300.000

1; 63.841

2; 249.022

3; 22.5834; 10.485

Hubungan Antara Cd dan Re pada Ceramic


Re

Cd

3.888 863.28 3814.307 2.469 10.485 9.638

5.000 10.000 15.000 20.000 25.0000.000

2.000

4.000

6.000

8.000

10.000

12.000

14.000

16.0001; 14.622

2; 8.1983; 8.192

4; 4.397



Re

Cd

Re Fluida10.339 Gliserol12.32718.454 Oli22.984

Re Fluida2.368 Gliserol0.4066.694 Oli9.638

5.000 10.000 15.000 20.000 25.0000.000

2.000

4.000

6.000

8.000

10.000

12.000

14.000

16.0001; 14.622

2; 8.1983; 8.192

4; 4.397



Re

Cd

0.0002.000

4.0006.000

8.000

10.000

12.0000.000

50.000

100.000

150.000

200.000

250.000

300.000

1; 63.841

2; 249.022

3; 22.5834; 10.485

Hubungan Antara Cd dan Re pada Ceramic


Re

Cd

5.000 10.000 15.000 20.000 25.0000.000

2.000

4.000

6.000

8.000

10.000

12.000

14.000

16.0001; 14.622

2; 8.1983; 8.192

4; 4.397



Re

Cd

Jenis Fluida Tinggi Jenis Diameter Berat Waktu Kecepatan(m) benda coba (mm) (gram) (detik) (m/det)

9.2 0.1099.1 0.110

1 Sphere 6.35 1.0046 9.3 0.1089.23 0.108

Gliserol 9.15 0.1095.48 0.182

5.6 0.1791 Streamline 9.5 3.4246 5.63 0.178

5.7 0.1755.6 0.179

5.75 0.1745.8 0.172

1 Sphere 6.35 1.0046 5.78 0.1735.83 0.172

Oli 5.65 0.1773.4 0.294

3.55 0.2821 Streamline 9.5 3.4246 3.52 0.284

3.6 0.2783.57 0.280

Kecepatan Rata-rata(m/det)

0.109

0.179

0.174

0.284

diameter pipa = 13 mmNo Pengukuran Debit Kecepatan Kecepatan Bilangan

Percobaan Waktu Volume Debit Aliran rerata Reynolds(s) (ml) (ml/s) (mm/s) (mm/s) (Re)

10 219 21.9 165.07710 222 22.2 167.339 166.836 2562.0569

1 10 223 22.3 168.093

Rata-rata = 22.1310 228 22.8 171.86110 278 27.8 209.550 176.133 2704.8221

2 10 195 19.5 146.987

Rata-rata = 23.3710 205 20.5 154.52510 182 18.2 137.188 136.183 2091.3175

3 10 155 15.5 116.836

Rata-rata = 18.0710 180 18 135.68010 155 15.5 116.836 123.117 1890.6745

4 10 155 15.5 116.836

Rata-rata = 16.338 158 19.75 148.8718 151 18.875 142.276 143.532 2204.1792

5 8 148 18.5 139.449

Rata-rata = 19.048 140 17.5 131.9118 130 16.25 122.489 125.630 1929.2597

6 8 130 16.25 122.489

Rata-rata = 16.675 138 27.6 208.0435 130 26 195.982 198.997 3055.9474

7 5 128 25.6 192.967

Rata-rata = 26.405 226 45.2 340.7085 228 45.6 343.723 352.768 5417.3612

8 5 248 49.6 373.874

Rata-rata = 46.805 238 47.6 358.7985 220 44 331.662 338.698 5201.2842

9 5 216 43.2 325.632

Rata-rata = 44.935 208 41.6 313.5725 188 37.6 283.421 310.054 4761.4129

10 5 221 44.2 333.170

Rata-rata = 41.13

1800.0000 1900.0000 2000.0000 2100.0000 2200.0000 2300.00000.02600.02700.02800.02900.03000.03100.03200.03300.03400.0350

Hubungan Antara Re dan f Untuk Aliran Laminer

Grafik Hubungan

f

Re

1800.0000 1900.0000 2000.0000 2100.0000 2200.0000 2300.0000

-1.560

-1.540

-1.520

-1.500

-1.480

-1.460

-1.440

-1.420

Grafik Hubungan

Hubungan Antara Re dan Log f Untuk Aliran Laminer

Log f

Re

1800.0000 1900.0000 2000.0000 2100.0000 2200.0000 2300.0000

-1.560

-1.540

-1.520

-1.500

-1.480

-1.460

-1.440

-1.420

Grafik Hubungan


Log f

Re

A = 132.665 mm^2 0.8465 mm^2/detTampak Faktor Log Re Log f

Visual Gesekanturbulen = Re > 4000Transisi = 2300 < Re <4000Laminer = Re < 2300

Laminer 0.0426 3.409 -1.371

Laminer 0.0422 3.432 -1.374

Laminer 0.0306 3.320 -1.514

Laminer 0.0339 3.277 -1.470

Transisi 0.0290 3.343 -1.537

Transisi 0.0332 3.285 -1.479

Turbulen 0.0414 3.485 -1.383

Turbulen 0.0368 3.734 -1.434

Turbulen 0.0372 3.716 -1.429

v =

(f)

1000.0000 2000.0000 3000.0000 4000.0000 5000.0000 6000.00000.000

50.000

100.000

150.000

200.000

250.000

300.000

350.000

400.000

Grafik Hubungan

Hubungan Antara Re dan vv

Re

1000.0000 2000.0000 3000.0000 4000.0000 5000.0000 6000.00000.005.00

10.0015.0020.0025.0030.0035.0040.0045.0050.00

Hubungan Antara Re dan QQ(ml/det)

Re

4600.0000 4800.0000 5000.0000 5200.0000 5400.0000 5600.00000.03620.03640.03660.03680.03700.03720.03740.03760.03780.03800.0382

Hubungan Antara Re dan f Untuk Aliran Turbulen

f

Re

Turbulen 0.0380 3.678 -1.420

4600.0000 4800.0000 5000.0000 5200.0000 5400.0000 5600.00000.03620.03640.03660.03680.03700.03720.03740.03760.03780.03800.0382


f

Re

2550.0000 2600.0000 2650.0000 2700.0000 2750.00000.0420

0.0421

0.0422

0.0423

0.0424

0.0425

0.0426

0.0427

Hubungan Antara Re dan f Untuk Aliran Transisi

Grafik Hubungan

f

Re

1800.0000 1900.0000 2000.0000 2100.0000 2200.0000 2300.00000.02600.02700.02800.02900.03000.03100.03200.03300.03400.0350

Hubungan Antara Re dan f Untuk Aliran Laminer

Grafik Hubungan

f

Re

2000.0000 3000.0000 4000.0000 5000.0000 6000.0000

-1.440

-1.430

-1.420

-1.410

-1.400

-1.390

-1.380

-1.370

-1.360

-1.350

Grafik Hubungan

Grafik Hubungan Re dan Log f Untuk Aliran TurbulenLog f

Re

2550.0000 2600.0000 2650.0000 2700.0000 2750.0000

-1.375

-1.374

-1.373

-1.372

-1.371

-1.370

-1.369

-1.368

Grafik Hubungan

Hubungan Antara Re dan Log f Untuk Aliran TransisiLog f

Re

1800.0000 1900.0000 2000.0000 2100.0000 2200.0000 2300.0000

-1.560

-1.540

-1.520

-1.500

-1.480

-1.460

-1.440

-1.420

Grafik Hubungan


Log f

Re

2000.0000 3000.0000 4000.0000 5000.0000 6000.0000

-1.440

-1.430

-1.420

-1.410

-1.400

-1.390

-1.380

-1.370

-1.360

-1.350

Grafik Hubungan

Grafik Hubungan Re dan Log f Untuk Aliran TurbulenLog f

Re

1800.0000 1900.0000 2000.0000 2100.0000 2200.0000 2300.0000

-1.560

-1.540

-1.520

-1.500

-1.480

-1.460

-1.440

-1.420

Grafik Hubungan


Log f

Re

1000.0000 2000.0000 3000.0000 4000.0000 5000.0000 6000.00000.000

50.000

100.000

150.000

200.000

250.000

300.000

350.000

400.000

Grafik Hubungan

Hubungan Antara Re dan vv

Re

1000.0000 2000.0000 3000.0000 4000.0000 5000.0000 6000.00000.005.00

10.0015.0020.0025.0030.0035.0040.0045.0050.00

Hubungan Antara Re dan QQ(ml/det)

Re

4600.0000 4800.0000 5000.0000 5200.0000 5400.0000 5600.00000.03620.03640.03660.03680.03700.03720.03740.03760.03780.03800.0382


f

Re

4600.0000 4800.0000 5000.0000 5200.0000 5400.0000 5600.00000.03620.03640.03660.03680.03700.03720.03740.03760.03780.03800.0382


f

Re

2550.0000 2600.0000 2650.0000 2700.0000 2750.00000.0420

0.0421

0.0422

0.0423

0.0424

0.0425

0.0426

0.0427

Hubungan Antara Re dan f Untuk Aliran Transisi

Grafik Hubungan

f

Re

Thanks to:

Re 1E+06 Reynold's Number in the tubing\epsilon/D 1.50E-03 Relative Roughness (Glass Material)

A 3.03E+20 Churchill coefficient "A"

B 1.55E-23 Churchill coefficient "B"

f_{M} 0.022 Moody Friction Factor

No Re A B f_{M}1 3E+03 5.59E+17 4.494038E+18 0.0372 3E+03 6.41E+17 1.887286E+18 0.0403 2E+03 3.29E+17 1.157011E+20 0.0314 2E+03 2.51E+17 5.810169E+20 0.0345 2E+03 3.79E+17 4.99007E+19 0.0306 2E+03 2.65E+17 4.205387E+20 0.0337 3E+03 8.67E+17 2.677461E+17 0.0448 5E+03 3.20E+18 2.814831E+13 0.0399 5E+03 2.94E+18 5.398682E+13 0.039

10 5E+03 2.42E+18 2.219645E+14 0.040

Selisih Nilai Friction Factor Antara Perhitungandengan Diagram

Perhitungan Diagram Selisih0.043 0.037 0.0060.042 0.040 0.0020.031 0.031 0.0000.034 0.034 0.0000.029 0.030 -0.0010.033 0.033 0.0000.041 0.044 -0.0030.037 0.039 -0.0020.037 0.039 -0.0020.038 0.040 -0.002

http://www.eng-tips.com/faqs.cfm?fid=1237

B =1637530

Re

Mf = 8 ·1

1 2128Re + ( - 1.5)(A + B)

A =16- 2.457 · ln

0.97Re + (0.27 · (

ε/ D))

1A =16

- 2.457 · ln0.971Re + (0.27 · (

ε/ D))

1B =1637530

1Re

Mf 1 = 8 ·1

1 21281Re + ( - 1.5)( 1A + 1B )

http://www.eng-tips.com/faqs.cfm?fid=1237

C5

WRadigan: Choose a Reynold's number to calculate a friction factor for in B8.

C6

WRadigan: Choose a relative roughness value and verify that the curve matches the overlay of the Moody Diagram.

Mf = 8 ·1

1 2128Re + ( - 1.5)(A + B)

A =16- 2.457 · ln

0.97Re + (0.27 · (

ε/ D))

1A =16

- 2.457 · ln0.971Re + (0.27 · (

ε/ D))

Mf 1 = 8 ·1

1 21281Re + ( - 1.5)( 1A + 1B )

1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.040

Excel Moody Diagram 2

1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.037Excel Moody Diagram 1

1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.040


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.031 Excel Moody Diagram 3

1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.040


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

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1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.037Excel Moody Diagram 1

1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.040


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.044


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

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1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.039


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

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1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

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1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.044


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.044


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.039


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

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1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.039


1E+03 1E+04 1E+05 1E+06 1E+07 1E+08

0.010

0.100

0.040


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