Results of the VPP and Delft Series

CAMBRIOGE. MASS. 02139

MENO TO: USYRU HANDICAP RULE COMNITTEE FRON: J. E. Kerwin and J. N Newman DATE: January 17, 1977

SUBJECT: RESULTS OF THE VPP AND DELFT SERIES

Attached are results from the predicted performance of the nine Deif t Series hulls in a variety of sailing conditions. Page 3 and 4 descrfe he nine hulls. The subsequent pages give the condensed results from the velocity prediction program (VP?) for a fleet of 405 boats. This fleet is derived from the nine hull

shapes with different waterline lengths, sail areas and stabilities.

For each of the nine hulls, the table on page 3 shows the principal dimensions, and the body plans are shown on page 4. Note that the dimensional quantities

are for the waterline length of 10 meters (32.81 feet); these must be scaled up or down for the waterline lenths (20,30,40,50,60 feet) for theVPP results which follow. The last seven lines of the table on page 3 are nondimensional ratios which apply irrespective of waterline length.

The test fleet is comprised of these nine hull shapes, and five waterlfne lengths, in conjunction with three values of sail area and three values of te stability, to give a total of (9 X 5 x 3 x 3) = 405 boats. Bas.e sail area, (SO) for each hull is defined in terms of disDiacement by the formula

2/3

SO = 1.1 X _(DISP)

with displacement in pounds. The three different values of sail area for each hull are S/SO = 0.80, 1.00, and 1.20 . The stability is defined in terms of

.the vertical height of the center of gravity (VCC), with the base value at 2% of Lt'L below the load waterline (CG=-2) ; the two variations are at 5% below (CG=-5),and 1% above (CG=l), the waterline. The sail area S is the gedetric

area of the mainsail and foretriangle, i.e. 1/2(1 X_{J + P XE)} in terms of the IOR parameters. DISP is the actual displacement in sailing conditions.

For the fleet as defined above, fifteen different sailing conditjons are defined by true wind speeds of 8, 12, 16, 20, and 24 knots, and three heading angles (beat, reach, run). The fleet performance In each condition is tabulated on pages 5-19, with the sailing condition defined at the töpof the page. The

characteristics of each boat in the fleet are defined for each model numberN\ (l-9) by the conibinaticns of sail area, VCC, and waterline lengths as shown in the first three columns. Nine columns of boat speeds in knots correspond to hull shapes defined by the model numbers at the top of each column. For a beat,

\

Lab. y. Scheepsbouwkunde

MASSACHUSETTS INSTITUTE OF TECHNOLOGY _{Technische Hogeschool} DEPARTMENT òF OCEAN ENGINEERING

Dellt

ii 19Th

ARCHIEF

MEMO TO: TJSYRU HANDICAP RULE CONNITTEE

Page2

January 17, 1977

the velocity shown is the speed made good to windward at the optimum heading angle for each boat. For a reach, the true wind angle is fixed at 1100 , and the

boat speed is shown in knots. For a run, the velocity shown is the speed made good downwind, with the optimum heading angle for tacking downwind.

For example, the first entry on page 5 Is for a beat in 8 knots true wind speed, length = 20 feet, base sail area and stability, and shows a predicted speed made good to windward of 3.566 knots.

The cop1ete results from the VP? are exemplified on page 20, which shows the output for the 20-foot base boat under all sailing conditions. This table is explained in Report 75-17, with the exception of "FLAT " , a new parameter introduced to permit optimum reduction of sail lift coefficient by flatteiiing. Note that the first seventeen rows are at fixed true wind angles (BTW) with 180° a dead run. The last two lines are for true wind angles yielding the optimum speed made good to windward and leeward respectively.

A more complete report of this material will be published following the meeting ori January 19th.

cc: Handicap Rule Committee Clayton Ewing

P. Haggerty C. Kirsch G. Curtis L. Stedman

The following definitions apply to the table above: LWL = design waterline length

BWL = design beam on waterline TC = design canoe body depth

DRAFT = measured draft in model test condition, scaled up to full-scale WL DIS? = measured displacement in model test condition

WSA = design wetted-surface area

DL-RATIO = displacement - length ratio = (DISP/2240)/(LWL/lOO)3 LWL/BWL = length-beam ratio

BWL/TC beam-depth ratio LWL/TC = length-depth ratio

CP-COEFF = prismatic cefficient of canoe body M-COEFF = midships area coefficient of canoe body CB-COEFF = block coefficient of canoe body

ODEL ONE TWO THREE POTIR LIVE SIX 5EVN

32.81 32.81 32.8' 32.91 .Q1 L-FT... 32.81

32.81.__._2.3t

12.09 9.50 12.26 1fl.t8 1n.1 BWL-FT 10.50 9.18 TC-FT 2.62 3.00 2.27 2.38

3.3

3. Lj9 2. 1 2. 2

2.2

DRAFT-FT 7.12 7,L9 .76 6.87 7.53 79Q E.Q 7.'2

7.'?

DISP-LBS 22262. 220'45. 21883. 17730. 2639. 286. 1723g. 2272.

?22'.

WSA_FT**2 356.3 32.9 381.2 331. 399.1 381.6 DLRATIC__V_281 279. 277. 22q.

33.

3c.

218.

21.

2e'. 2.69 3.1 3.1'

3.22 V___V

3.12 LL/BWL VV BWL/TC L.0O V V 3.05 33 _LLCO LWL/TC 12.51 10.95 1U.7 13.81 10.93

9.9

155

12.!1 CP-COEFF 0.573 0.573 0.573 0.573 0.573 r.573 0.573 N-COEFF 0.638 0.633 0.638 0.633 0.638 0.63 C5-COEFF 0.356. 0.31'S 0.366 0.366

0.36

O.36Ç

r

NOTE: These body plans are proprietary pending publication under joint agreement

by Deif t and MIT. Prior to f ormai release this page is not to be reproduced .or published.

DELFT r'OflEL ERIES

MGEL 1 ODC ODt N.ß UODI N6 r 9IHH 7277;iirïm \\\

'

,1 //1

:'\\'

/;/'

,.';i,/ ¡ ;í:; 7

/1''

/;

/:, /1' ' / I .17flT9jTflTh1

/

NOOIL u. MOSEL Nat ?.ODEL N.a 7 '"" y,''. '1!;'J/;' . \\ \ '\,'_ :::- / 2> .1

::S /-'". -. j.

-rrmT _T I? / _/ II / t

MIT PRATT.PRCJECT VELOCITY PRFCICTI04 POCR4M SUMPARY OUTPUT

TRUE INC SPEED AT 10 METERS- 8. KNOTS

BEATING AT OPTIMUM TFUE WIND ANGLE (VMG TABULATED)

MODEL NUMBER SISOCG L 1 2 3 4 5 6 7 8 9 1.00 0.80 1.20 1.00 0.80 1.20 1.00 0.80 1.20 20 30 * * 3.566_3.930 3.6824.065 3.5603.953 3.5183.846 4.1023.645 3.5323.887 3.4863.814 3.5363.911 3.5773.927

-2 40 *

4.217 4.382 's.253 4.128 4.444 4.202 4.08E 4.220 4.213

50 *

4.471 4.669 4.507 4.376 4.736 4.491 4.311 4.488 4.'.'-'S

60 *

4.696 4.925 4.726 4.592 6.992 4.747 4.510

4.722 4.6

20 *

3.390 3.576 3.313 3.326 3.471 3.434 3.226 3.323 3.411

30 *

3.703 3.909 3.670 3.637 3.870 3.742 3.545 3.675

..718

-2 40 *

3.970 4.193 3.950 3.891 4.191 4.038 3.791 3.965 3.975

50 *

4.202 4.449 4.181 4.108 4.466 4.302 1.998 4.210 4.198

60 *

4.402 4.673 4.380 4.296 4.703 4.533 4.177 4.420 4.392

20 *

3.629 3.706 3.676 3.578 3.725 3.556 3.585 3.614 3.632

30 *

4.020 4.111 4.115 3.923 4.213 3.938 3.940 4.025 4.J35

-2 40 *

4.338 4.456 4.452 4.230 4.596 4.278 4.237 4.362 4.320 50 4.618 4.769 4.730 4.505 4.908 4.587 4.498 4.654

4.99

60 *

4.866 5.047 4.971 4.747 5.181 4.862 4.725 4.910 4.346

20 *

3.603 3.758 3.567 3.554 3.664 3.621 3.497 3.564 3.616

-5

4030 * * 4.00O_4.284 4.5404.211 4.2703.970 4.2043.921 4.1364.478 4.3384.039 4.1143.845 3.956..261

4.O,

4.2)2

50 *

4.531 4.810 4.523 4.446 4.766 4.609 6.342 4.525 4.937

60 *

4.749 5.052 4.741 4.656 5.019 4.855 4.539 4.755

4.70

20 *

3.395 3.598 3.313

3.38

3.474 3.469 3.226 3.332 3.416

30 *

3.722 3.963 3.673 3.654 1.880 3.799 3.550 3.686 3.741

-5 40 '

3.991

4.21

3.955 3.913 4.202 A.C9.1 3.800 3.978

4.'1

50 *

4.223 4.503 4.188 4.132 4.477

4.32

4.008 4.223 4.224

60 *

4.422 4.724 4.385 4.319 4.711 4.580 4.186 4.433 4.417

20 *

3.690 3.817 3.699 3.641 3.759 3.681 3.621 3.669

3.9S

30 *

4.133 4.305 4.158 4.046 4.275 4.139 4.013 4.112 4.1

-5 40 *

4.463 4.683 4.494 4.365 4.663 4.483 4.316 4.450

4.57

50 *

4.734 4.987 4.768 4.636 4.970 4.767 4.570 4.734 4.73v 60 4.971 5.252 5.004 4.872 5.236 5.028 4.790 4.982 4.969

20 *

3.5C2 3.539 3.548 3.457 3.611 3.356 3.465 3.481 3.511

30 *

3.795 3.739 3.925 3.706 4.036 3.630 3.756

3.822 37L

1 40 4.082 4.087

4.22)

3.970 4.377 3.945 4.019 4.134

4.u'2

50 *

4344

4.370 4.431. 4.217 4.676 4.235 4.252 4.410 4.119

60 *

4.573 4.627 4.702 4.439 4.938 4.493 4.456 4.651 4.54e 20 3.378 3.504 3.313 3.322 3.465 3.330 3.225 3.321 3.4C0

30 *

3.661 3.748 3.664 3.593 3.851 3.589 3.535 3.651

3.óT

1

40 *

3.921 4.02 3.942 3.834 4.170 3.882 3.775 3.937 50 4.153 4.280 4.174 4.05C 4.444 4.148 3.981 4.183 4.140 60 20 * * 4.355 3.528

4.51!

3.501 4.372 3.642 4.240 3.478 4.583 3.668 4.332 3.321 4.159 3.534 4.194 3.527

4.,

30 3.832 3.765 4.052 3.726 4.118 3.613 3.332 3.886

3.-i0

1 40 4.141 4.C81

4.38'

4.007 4.485 3.947 4.119

4.22!

4.110 50 4.426 4.362 4.668 4.275 4.806 4.253 4.370

4.520 4.0

60 $ 4.680 4.656 4.915 4.519 5.087 4.527 4.610 4.783

r,.

-6-'MIT PRATT PROJECT VELOCITY PREDICTION PROGRAM SUMMARY OUTPUT TRUE WIND SPEED AT 10 METERS- 8 KNOTS

REACHING WITH 110 DEG TRUE WIND ANGLE (V TA8ULATE)) MOCEL NUMBER

SSOCG

1.00 -2 0.8C -2 1.20 -2 1.00 -5 0.80 -5 1.20 -5 1.00 1 0.80 1. 1.20 1 '"7. ,. . '. .,:' .-. 1 1 1 2 3 4 5 6 7 8 g 20 * 5.452 .5.509 5.369 5.410 5.470 5.441 5.347 5.443 5.435 30 * 6.387 6.439 6.265 6.304 6.446 6.392 6.194 6.324 6.367 40 * 7.130 7.297 6.960 6.995 7.241 7.164 6.817 7.007 7.108 50 * 7.736 7.985 7.518 7.50 7.913 7.805 7.297 7.556 7.716 60 * 8.227 .572 7.974 7.996 8.485. 8.331 7.692 8.004 8.212 20 * 5.157 5.271 5.021 5.072 5.201 5.216 4.951 5.082 5.151 30 5.951 6.175 5.732 5.804 6.069 6.05 5.581 5.785 5.960 40 * 6.471 6.858 6.237 6.285 6.728 6.629 6.026 6.282 5.493 50 * 6.871 7.377 6.666 6.685 7.252 7.030 6.404 6.713 6.389 60 * 7.238 7.776 7.048 .7.044 7.696 7.403 6.738 7.104 7.249 20 * _5.633 5.647 5.603 5.616 5.651 5.567 5.604 5.671 5.505 30 * 6.618 6.659 6.577 6.559 6.681 6.564 6.528 6.632 6.576 40 * 7.437 7.516 7.372 7.338 7.537 7.401 7.271 7.419 7.387 50 * 8.138 8.259 8.042 8.002 8.273 8.121 7.891 8.082 8.082 60 * 8.741 8.910 8.613 8.569 8.912 8.745 8.411 8.543 8.594 20 * 5.454 5.516 5.369 5.410 5.471 5.455 5.347 5.445 5437 30 * 6.405 6.522 6.269 6.323 6.454 6.634 6.202 6.338 6.39 40 * 7.163 7.350 6.968 7.034 7.254 7.228 6.837 7.031 7.148 50 * 7.783 8.053 7.530 7.605 7.929 7.890 7.325 7.586 7.773 60 * 8.286 8.654 7.988 8.062 8.504 8.439 7.722 8.037 8.295 20 * 5.157 5.271 5.021 5.072 5.201 '.216 4.951 5.082 .15I 30 5.955 6.187 5.733 5.807 6.071 6.073 5.581

5.787 555

40 * 6.486 5930 6.239 6.29ö 6.734 6.673 6.029 6.288 50 * 6.88e 7.425 6.669 6.700 7.260 7.082 6.403 6.721 6.312

60*

7.257 7.832 7.052 7.061 7.705 7449 6.745 7.113 7..73 20 * 5.647 5.678 5.605 5.628 5.658 5.605 5.60.8 5.683 5.520 30 * 6.657 6.724 6.588 6.606 6.698 6.636 6.552 6.663 6.523 40 * 7.494 7.603 7.389 7.411 7.561 7.497 7.312 7.462 7.456 50 * 8.207 .361 8.064 8.091 8.299 8.234 7.943 8.132 3.168 60 * 8.820 9.023 8.637 8.671 8.941 8.873 8.471 8.699 8.732 20 * 5.449 5.485 5.369 5.409 5.467 5.339 5.347 5.439 5.431 30 * 6.345 6.382 6.258 6.255 6.431 6.260 6.179 6.295 6.3t7 40 * 7.051 7.124 6.946 5.893 7.216 6.951 6.780 6.957 7.010 50 * 7.625 7.755 7.493 7.406 7.80 7.510 7.245 7.491 7.575 50 * 8.090 8.290 7.951 7.831 9.447 7.961 7.636 7.934 8.336 20 * 5.157 5.271 5.021 5.072 5.201 5.213 4.951 5.082 5.'51 30 * 5.940 6.136 5.732 5.797 6.065 5.991 5.581 5.779 5.)-48 40 * 6.438 5.759 6.234 6.257 5.718 6.488 6.020 6.268 50 * 6.831 7.219 6.662 6.648 7.236 6.3T8 6.396 6.696 6.537 60 * 7.198 7.600 7.043 7.002 7.679 7.262 6.72? 7.086 7.135 20 * 5.602 5.550 5.599 5.5C5 5.637 5.461 5.597 5.646 5.571 30 * 6.526 6.469 6.55Q 6.436 6.646 6.355 6.480 6.565 6.467 40 * 7.302 7.254 7.343 7.147 7.i.90 .7.111 7.190 7.326 7.220 50 * 7.970 7.941 8.007 7.760 8.218 7.758 7.787 7.971 7.572 60 * 8.547 3.547 8.573 8.291 8.352 8.315 8.291 8.521 6.440

-7-MIT PRATT PROJECT VELOCITY PREDICTION PCGRAM SUMMARY OUTPUT

TRUE WINO SPEED AT IC) METERS- 8 KNOTS

RUNNING AT OPTIMUM TRUE WIND ANGLE (VMG TABULATED)

MODEL NUMBER SISCCS L 20 30 * * 1

3.709

4.031

1.00 -2 40 *

4.268

50 *

4.456

60 *

4.611

20 *

3.450

30 *

3.754

0.80 -2 40 *

3.974

50 *

4.147

60 *

4.291

20 *

3.937

30 *

4.265

1.20 -2 40 *

4.517

50 *

4.717

60 *

4.884

20 *

3.709

30

4.031

1.00 -5 40 *

4.268

50 *

4.456

60 *

4.611

20 *

3.450

33 *

3.754

0.80 -5 40 *

3.974

50 *

4.147

60 *

4.291

20 *

3.937

30 *

4.265

1.20 -5 40 *

4.517

50 *

4.717

60 *

4.884

20 *

3.709

30

4.031

1.00

1 40 *

4.268

50 *

4.456

60 *

4.611

20 *

3.450

30 *

3.754

0.SC 1 40

3.974

50 *

4.147

60 *

4.291

20 *

3.937

30 *

4.265

1.20

1

40 *

4.517

50 *

4.717

60 *

4.884

2 3 4 5 6 7 8 9

3.813

3.651

3.638

3.839

3.792

3.559

3.678

3.712

4.150

3.975

3.947

4.208

4.141

3.858

4.016

4.024

4.401

4.212

4.173

4.483

4.406

4.080

4.264

4.256

4.596

4.398

4.353

4.697

4.613

4.258

4.458

4.439

4.754

4.551

4.504

4.870

4.784

4.408

4.617 4.92

3.550

3.399

3.378

3.594

3.542

3.301

3.432

3.447

3.870

3.701

3.668

3.943

3.879

3.584

3.749

3.743

4.097

3.920

3.880

4.191

's.122

3.794

3.977

3.959

4.271

4.092

4.049

4.381

4.310

3.963

4.155

4.131

4.413

4.234

4.190

4.533

4.465

4.105

4.301

4.275

4.00

3.866

3.863

4.051

4.023

3.781

3.890

3.943

4.387

4.205

4.184

4.430

4.363

4.093

4.239

4.264

4.654

4.457

4.423

4.722

4.641

4.325

4.503

4.508

4.867

4.656

4.614

4.956

4.865

4.512

4.712

4.703

5.042

4.821

4.773

5.148

5.050

4.668

4.885

4.865

3.813

3.651

3.638

3.839

3.792

3.559

3.678

1.712

4.10

3.975

3.947

4.208

4.141

3.858

4.016

4.024

4.401

4.212

4.173

4.483

4.406

4.080

4.264

4.256

4.596

4.398

4.353

4.697

4.613

4.258

4.458

4.439

4.754

4.551

4.504

4.870

4.784

4.408

4.617

4.592

3.50

3.399

3.378

3.594

3.542

3.301

3.432

3.447

3.870

3.701

3.668

3.943

3.879

3.584

3.749

1.743

4.097

3.920

3.880

4.191

4.122

3.794

3.977

3.5Q

4.271

4.092

4.049

4.381

4.310

3.963

4.155

4.111

4.413

4.234

4.190

4.533

4.465

4.105

4.301

4.275

4.050

3.866

3.863

4.051

4.023

3.791

3.890

3.943

4.387

4.205

4.184

4.430

4.363

4.093

4.239

4.264

4.654

4.457

4.423

4.722

4.641

4.325

4.503

4.508

4.867

4.656

4.614

4.956

4.865

4.512

4.712

4.703

5.042

4.821

4.773

5.148

5.050

4.66

4.885

4.8o5

3.813

3.651

3.638

3.839

3.792

3.559

3.678

3.712

4.150

3.975

3.947

4.2C8

4.141

1.858

4.015

4.924

4.401

4.212

4.173

4.483

4.406

4.080

4.264

4.2i5

4.596

4.399

4.353

4.697

4.613

'p.253

4.458

4.49

4.754

4.551

4.504

4.870

4.784

4.409

4.617

4.592

3.550

3e399

3.378

3.594

3.542

3.301

3.432

3447

3.870

3.701

3.668

.943

3.879

3.584

3.749

3.743

4.097

3.920

3.880

4.191

4.122

3.794

3.977

3._59

4.271

4.092

4.049

4.381

4.310

3.963

4.155

4.131

4.413

4.234

4.L9C

4.533

4.465

4.105

4.301

1.275

4.049

3.866

3.853

4.051

4.023

3.781

3.890

3.9'3

4.387

4.205

4.184

4.430

4.363

4.093

4.239

4.264

4.654

4.457

4.423

4.722

4.641

4.325

4.503

4.5CR

4.967

4.656

4.614

4.956

4.865

4.512

4.712

4.703

5.042

4.321

4.773

5.148

5.050

4.668

4.885

4.865

-8-MIT PRATT PROJECT VELOCITY PREDICTION PROGRAM S1JMARY OUTPUT

TRUE INC SPEED AT lo METERS- 12 KNOTS

BEATING AT OPTIMUM TRUE WIND ANGLE (VMG TABULATED)

MODEL NUMBER

'o%

S/SOCG L 20 30

*

*

i

4.093 4.686 2 4.113 4.114 3 4.183 4.813 4 4.044 4.574 5 4.179 4.856 6 3.984 4.515 7 4.098 4.640 8 4.113 4.715 9 4.081 4.653

1.00 -2 40

5.178 5.228 5.32.) 5.029 5.40á 5.068 5.093

5.2 ii

5.133

50 *

5.592 5.668 5.749 5.419 5.864 5.482 5.478 5.625 5.540

60 *

5.945 6.049 6.108 5.758 6.255 5.836 5.806 5.977

,.989

20 *

4.077 4.137 4.117 4.037 4.136 4.008 4.056 4.081 4.073 30 s 4.650 4.725 4.715 4.557 4.782 4.580 4.579 4.653 4.631

0.80 -2 40 *

5.109 5.213 5.178 4.982 5.295 5.043 4.997 5.109 5.081

50 *

5.485 5.622 5.544 5.338 5.714 5.424 5.334 5.476

5.43

60 *

5.796 5.969 5.840 5.640 6.061 5.742 5.609 5.776 5.765

20 *

4.059 4.047 4.191 3.999 4.173 3.919 4.081 4.091 4.040 30 4.658 4.649 4.839 4.527 4.867 4.515 4.628 4.708 4.614

1.20 -2 40 *

5.168 5.175 5.376 4.996 5.441 5.023 5.101 5.228 5.110

50 *

5.604 5.631 5.831 5.407 5.925 5.457 5.511 5.669 5.537

60 *

5.982 6.031 6.220 5.768 6.343 5.832 5.867 6.049 5.909

20 *

4.174 4.244 4.220 4.131 4.228 4.126 4.154 4.190 4.156 30 4.8?2 4.927 4.874 4.734

4.930 .4.794

.743 4.832 4.801

1.00 -5 40 *

5.345 5.490 5.396 5.230 5.492 5.333 5.222 5.347 5.318

50 *

5.779 5.963 5.826 5.645 5.951 5.790 5.621 5.772 5.749 60 6.145 6.368 6.187 5.998 6.352 6.157 5.956 6.128 6.114

20 *

4.126 4.226 4.137 4.090 4.165 4.107 4.087 4.130 4.125

0.80 -5

4030 * * 4.743_5.226 4.8825.409 4.7495.214 .5.1254.669 4.9305.351 4.7435.245 4.6465.075 4.7325.196 4731, 5.214

50 *

5.61.2 5.844 5.580 5.494 5.771 5.651 5.413 5.562 5.500

60 *

5.922 6.206 5.875 5.793 6.117 5.930 5.684 5.856

5.13

20 *

4.170 4.216 4.245 4.118 4.243 4.101 4.161 4.195 4.156 30 * 4.835 4.912 4.922 4.732 4.968 4.785 4.765 4.860

4.05

1.20 -5 40 *

5.383 5.495 5.47 5.251 5.557 5.347 5.270 5.405 5.144 50 5.844 5.992 5.937 5.693 6.050 5.819 5.698 5.861 5.300

60 *

6.238 6.422 6.330 6.073 6.473 6.223 6.065 6.249 6.192

20 *

3.963 3.990 4.131 3.909 4.101 3.724 4.020 3.994 3.149

30 *

4.444 4.292 4.724 4.292 4.730 4.122 4.481 4.520 4.396 1.00

1 60 *

4.870 4.683 5.216 4.660 5.254 4.510 4.889 4.975 4.RO1

50 *

5.244 5.054 5.630 5.009 5.699 4.831 5.249 .368 5.166

60 *

5.576 5.400 5.985 5.333 6.082 5.223 5.568 5.711

5.47

20 *

3.993 3.974 4.088 3.950 4.088 3.813 4.010 4.003

3.88

30 *

4.476 4.394 4.659 4.351 4.698 4.220 4.471 4.514 4.442 0.80

1 40 *

4.881 4.775 5.114 4.705 _5.191 4.587 4.854 4.940

4..29

50 *

5.227 5.124 5.481 5.029

5.00

4.931 5.182 5.298 5.157

60 *

5.528 5.445 5.781 5.325 5.947 5.249 _5.461 5.607 .469

20 *

3.889 3.800 4.116 3.82e 4.065 1.630 3.974 3.935

3.72

30 ' 4.357 4.181 4.717 4.191 4.702 4.011 4.425 4.462

4.C3

1.2C 1.

40 *

4.789 4.562 5.230 4.558 5.244

4.3)9

4.843 4.934 4.712

50 *

5.190 4.937 5.671 4.921 5.711 4.780 5.222 5.348 5..J93 60 5 5.532

5.92

6.053 5.260 6.116 5.136 5.563 5.714 5.+44

-9-MIT PRATT PROJECT VELOCITY PRECICTION PROGRAM SUMMARY OUTPUT

TRUE WIND SPEED AT 10 METERS- 12 KNOTS

REACHING WITH lIC DEG TRUE WIND ANGIE (V TABUL&TED) MODEL NUMBER S/SOCG

1.00 -2

0.80 -2

1.20 -2

1.00 -5

0.80 -5

1.20 -5

1.00 1 0.80 1 1.20 1 - -.--._. --- _'-:- -L 1 2 3 4 5 6 7 B 9 20 6.080 &.O24 6.124 6.086 6.C84

5.35

6.146 6.180 6.033

30 *

7.102 7.064 7.145 7.074 7.148

6.qlg

7.128 7.204 7.041

40 *

7.967 7.954 7.992 7.915 8.036 7.862 7.948 8.056 7.900

50 *

8.726 8.739 8.727 8.653 8.812 8.636 8.661 8.795 8.655

60 *

9.407 9.448 9.381 9.314 9.506 9.330 9.295 9.453 9.332

20 *

5.915 5.906 5.901 5.913 5.911 5.832 5.921 5.982 5.892

30 *

6.901 6.912 6.872 6.869 6.930 6.836 6.862 6.949 6.862

40 *

7.717 7.759 7.656 7.654 7.767 7.673 7.615 7.731 7.675

50 *

8.419 8.500 8.321 9.327 8.489 8.397 8.248 8.393 8.376

60 *

9.038 9.162 8.89E 8.915 9.129 9.037 8.790 8.967 8.91

20 *

6.155 6.065 6.266 6.147 6.187 5.975 6.260 6.283 6.091

30 *

7.208 7.136 7.325 7.164 7.289 7.049 7.271 7.352 7.127

40 *

8.109 8.056 8.216 8.043 8.215 7.963 9.137 8.255 8.017

50 *

8.904 8.871 8.996 8.822 9.027 8.767 8.899 9.043 8.905

60 *

9.621 9.607 9.696 9.524 9.758 1.692 9.583 9.750 9.516

20 *

6.115 6.086 6.132 6.123 6.101 6.003 6.162 6.208 6.071

30 *

7.154 7.148 7.161 7.138 7.173 7.066 7.162 7.245 7.102

40 *

8.027 8.047 8.010 7.992 8.064 7.957 7.992 8.103 7.971

50 *

8.791 8.839 8.747 8.738 8.840 8.737 8.711 8.846 8.733

60 *

9.476 9.552 9.403 9.405 9.536 9.437 9.349 9.506 9.416

20 *

5.923

5.96

5.902 5.919 5.915 5.859 5.922 5.989 5.890

30 *

6.922 6.951 6.877 6.892 6.940 6.891. 6.873 6.965 5.R87

40 *

7.744 7.807 7.664 7.688 7.779 7.726 7.633 7.752 7.iC3

50 *

8.452 8.555 8.330 8.369 8.502 8.457 8.270 8.418 9.417

60 *

9.075 9.222 8.9C9 8.963 9.144 9.104 9.816 8.994 9.J42

20 *

6.229 6.175 6.292 6.237 6.226 6.084 6.310 6.345 6.173 30 7.303 7.271 7.360 7.287 7.335 7.1.81 7.347 7.430 7.235

40 *

8.213 9.203 8.254 8.182 8.264 8.106 8.224 8.338

8.t3

50 *

9.014 9.026 9.036 8.969 9.077 9.918 8.992 9.131

.3'$

60 9.735 9.768 9.736 9.678 9.808 9.650 9.681 9.840

9.61

20 *

6.007 5.880 6.109 5.997 6.051 5.183 5.115 6.123 ).950

30 *

6.987 6.857 7.118 6.914 7.100 6.158 7.058 7.118 6.907

40 *

7.831 7.709 7.959 7.718 7.992 7.613 7.860 7.957 7.739

50 *

8.576 9.465 8.691 8.430 8.754 8.354 8.561 8.688 8.472

60 *

9.245 9.147 9.343 9.071 9.447 9.018 9.185 9.338 9.131

20 *

5.898 5.949 5.899 5.899 5.903 5.757 .919 5.968 5.863

30 *

6.85's 6.800 6.864 6.8u8 6.911 6.710 5.841 6.914 5.305 40 7.652 7.616 7.643 7.565 7.742 7.515 7.581 7.684

7595

50 *

8.341

'.332

8.305 8.217 8.460 9.210 9.203 8.339 8.27e

60 *

8.948 6.972 8.880 8.788 9.398 8.824 8.738 8.907 8.982 20 6.013 . 5.8&R 6.221 5.997 6.118 5.772 6.164 6.168

5.94'

30 *

7.011 ô.849 7.264 6.903

7.02

6.764 7.121 7.200 6.909 40 7.8S 7.714 9.149 7.719 8.122 7.626 7.962 8.085 7.75

50 *

8.653 8.488 8.926 8.454 8.930 9.390 ?.709 8.862

3.5j9

60 *

9.362 9.192 9.624 9.121 9.658 9.079 9.383 9.561 9.?C

-lo-MIT PRATT PR.CJECT Ç'ELOCTrY PREDICTIO PRCGAM S!!MMARY C'JTPUT T'UE W ¡NC 5PED Ar lO METERS- 12 K'lITS

RUNNI'G J OPTIMUM TRUE WINO ANGLE (VMG TABULATED)

MODEL NUMBER S/SCCG L 1 2 3 4 5 6 7 8 9

20 *

5.089 5.137 5.013 5.031 5.121 5.127 4.977 5.062 5.078

30 *

5.711 5.814 5.594 5.618 5.779 5.792 5.519 5.632 5.709

1.00 -2 40 *

6.096 5.252 5.962 5.982 6.215 6.206 5.855 5.994 6.102

50 *

6.351 6.541 6.233 6.237 6.523 6.467 6.104 6.262 6.360

60 *

6.565 6.758 6.464 6.452 6.778 6.678 6.314 6.497 6.570

20 *

4.848 4.920 4.755 4.775 4.895 4.909 4.700 4.795 4.843

30 *

5.366 5.500 5.244 5.262 5.468 5.463 5.149 5.276 5.371

0.80 -2 40 *

5.669 5.841 5.565 5.565 5.833 5.779 5.443 5.594 5.677

50 *

5.915 6.091 5.825 5.809 6.123 6.027 5.681 5.860 5.913

60 *

6.130 6.315 6.046 6.017 6.375

6.2,9

5.881 6.090 6.127

20 *

5.268 5.301 5.207 5.222 5.292 5.289 5.184 5.264 .253

30 *

5.958 6.038 5.853 5.878 6.007 5.020 5.797 5.900 5.951

1.20 -2 40 *

6.416 6.545 6.282 6.309 6.502 6.511 6.193 6.320 6.417

50 *

6.727 6.901 6.584 6.605 6.859 6.842 6.467 6.615 5.734

60 *

6.950 7.155 6.821 6.827 7.130 7.069 6.684 6.850 6.959

20 *

5.089 5.137 5.013 5.031 5.121 5.127 4.977 5.062 5.078

30 *

5.711 5.814 5.594 5.618 5.779 5.792 5.520 5.632 5.709

1.00 -5 40 *

6.096 6.252 5.962 5.982 6.215 6.206 5.855 5.994 6.102 50 6.351 6.541 6.233 6.237 6.523 6.467 6.104 6.262 6.460

60 *

6.565 6.759 6.464 6.452 6.778 6.678 6.314 6.497 6.570 20 4.848 4.920 4.755 4.775 4.895 4.909 '..700 4.795 4.B43

30 *

5.366 5.500 5.244 5.262 5.468 5.458 5.149 5.276 5.371

0.80 -5 40 *

5.669 5.841

5.565 5.565

5.833 5.779 5.443 5.594 5.677

50 *

5.915 6.091 5.825 5.809 6.123 6.027 5.681 5.860 5.918

60 *

6.130 6.315 6.046 6.017 6.375 6.259 5.881 6.090 6.127

20 *

5.268 5.300 5.207 5.222 5.292 5.239 5.184 5.263 5.253

30 *

5.958 6.038 5.853 5.878 6.007 6.020 5.797 5.900 5.951

1.20 -5 40 *

6.416 6.545 6.282 6.309 6.502 6.511 6.193 6.320 6.417

50 *

6.727 6.901 6.584 6.605 6.859 6.844 6.467 6.615 6.735

50 *

6.950 7.157 6.821 6.828 7.131 7.072 6.684 D.850 6.-mO

20 *

5.O9

5.138 5.013 5.031 5.121 5.127 4.977 5.062 5.cY78

30 *

5.711 5.814 5.594 5.617 5.779 5.792 5.519 5.632 5.709 1.00

1 40 *

6.096 6.251 5.962 5.981 6.215 6.206 5.855 5.994 6.102

50 *

6.350 6.540 6.233 6.236 6.523 6.465 6.104 6.262 6.359

60 *

6.564 6.757 6.464 6.452 6.778 6.676 6.313 6.497 6.570

20 *

4.848 4.920 4.755 4.775 4.895 4.909 4.700 4.795 4.843

30 *

5.366 5.500 5.244 5.262 5.468 5.468 5.149 5.276

537l

0.80 1 40 5.669 5.841 5.565 5.565 5.833 5.779 5.443 5.594 5.ò73

50 *

5.915 6.091 5.825 5.809 5.123 5.027 5.681 5.860 5.118

60 *

6.130 6.315 6.046 6.017 6.375 6.259 5.88k 6.090 6.127

20 *

5.263 5.299 5.207 5.221 5.292 5.238 5.184 5.264 5.252

30 *

5.958 6.037 5.851 5.878 6.007 6.019 5.797 5.900 5.951 1.20 1

40 *

6.416 6.545 6.282 6.309 6.502 6.511 6.193 6.320 6.417

50 *

6.726 6.899 6.584 6.604 6.859 6.832 6.466 6.615 6.733

60 *

6.948 7.148 6.321 6.826 7.130 7.059 6.684 6.949

6.J7

-11-MIT PRATT PROJECT VELOCITY PRECICT ION PROGRAM SUMMARY OUTPUT

TRUE WINO SPEED AT lO METERS- 16 KNOTS

BEATING AT OPTIMUM TRUE WIND ANGLE (VMG TARULATED)

MOCEL NUMBER S/SO CG I 1 2 3 4 5 6 7 8 9

20 *

4.283

'.253

4.435

4.225

4.392

4.131

4.330

4.337

4.259

30 *

4.985

4.950

5.179

4.854

5.177

4.830

4.977

5.056

4.935

1.00 -2 40 *

5.591

5.5o8

5.809

5.418

5.837

5.437

5.547

5.670

5.526

50 *

6.118

6.112

6.350

5.917

6.403

5.963

6.046

6.201

6.043

60 20 * *

6.82

4.343

6.59,

4.341

6.823

4.448

6.361

4.299

6.899

4.419

6.426

4.221

6.487

4.374

6.664

4.386

6.530

4.326

30 *

5.040

5.046

5.175

4.934

5.186

4920

5.019

5.090

5.002

0.80 -2 40 *

5.628

5.653

5.777

5.486

5.820

5.512

5.569

5.680

5.578

50 *

6.134

6.181

6.288

5.966

6.359

6.020

6.044

6.181

6.376

60 *

6.573

6.645

6.726

6.387

6.827

6.462

6.457

6.616

6.511

20 *

4.198

4.162

4.378

4.135

4.328

4.038

4.250

4.254

4.175

30 *

4.888

4.841

5.127

4.746

5.121

4.721

4.886

4.971

4.3,7

1.20 -2 40 *

5.496

5.448

5.772

5.302

5.794

5.319

5.460

5.599

5.424

50 *

6.034

5.989

6.332

5.804

6.377

5.48

5.972

6.145

5947

60 *

6.512

6.477

6.826

6.258

6.891

6.320

6.429

6.626

6.415

20 *

4.404

4.421

4.499

4.354

4.471

4.314

4.420

4.453

4335

30 *

5.168

5.212

5.272

5.069

5.285

5.097

5.125

5.219

5.132

1.00 -5 40 *

5.809

5.883

5.916

5.682

5.959

5.752

5.727

5.858

5.76't.

50 *

6.359

6.463

6.465

6.213

6.533

6.313

6.247

6.404

6.08

60 *

6.840

6.973

6.942

6.679

7.034

6.803

6.701

6.877

6.785

20 *

4.427

4.472

4.490

4.392

4.471

4.360

4.435

4.468

4.413

30 *

5.174

5.249

5.239

5.095

5.261

5.127

5.126

5.210

5.143

0.80 -5 40 *

5.790

5.899

5.851 .5.686

5.906

5.759

5.701

5.818

5.757

50 *

6.312

6.455

6.366

6.190

6.451

6.294

6.190

6.330

6.27

0 *

6.764

6.940

6.809

6.628

6.22

6.758

6.612

6.770

6.726

20 *

4.342

4.343

4.461

4e278

4.431

4.237

4.359

4.394

4.318

30 *

5.111

5.130

5.247

4.992

5.259

5.023

5.068

5.172

S.OD

1.20 -5 40 *

5.767

5.812

5.911

5.616

5.951

5.690

5.684

5.831

5.7 12

50 *

6.333

6.405

6.481

6.162

6.545

6.265

6.221

6.397

6.271

60 *

6.831

6.929

6.982

6.645

7.066

6.771

6.695

6.892

6.73

20

4.114

4.018

4.351

4.058

4.274

3.859

4.211

4.172

4.093

30 * 4'7 4.513

5.048

4.524

5.003

4.358

4.760

6.796

4.53

1.00

1 40 *

5.209

4.985

5.652

4.971

5.633

4.823

5.268

5.359

5.12'

50 *

5.680

5.420

6.179

5.389

6.181

5.247

5.730

5.857

5.577

60 *

6.107

5.813

6.643

5.774

6.65

5.632

6.145

6.299

5.92?

20 *

4.210

4.129

4.392

4.160

4.336

3.974

4.290

4.261

4.191

30 *

4.8C3

4.649

5.082

4.651

5.059

4.494

4.855

4.990

4.74

0.80

1

40 *

5.128

5.136

5.666

5.111

5.671

4.973

5.358

5.440

5.252

50 *

5.793

5.583

6.166

5.532

6.197

5.405

5.803

5.918

5 i

60 *

6.204

5.981

6.602

5.914

6.557

5.790

6.198

6.337

6.102

20 *

4.016

.9Cl

4.273

3.955

4.186

3.744

4.121

4.077

1.397

30

4.571

4.37s

4.961

4.399

4.906

4.222

4.650

4.684

4.515

l.0

1

40 *

5.073

4.836

5.573

4.812

5.541

4.677

5.147

5.?37

4.397

50 *

5.541

5.260

6.114

5.241

6.100

5.092

5.603

5.735

5.43

60 *

5.961

5.652

6.595

5.621

6.597

5.471

6.020

6.186

5.84

S/SOCG

1.00 -2

0.80 -2

1.20 -2

1.00 -5

0.80 -5

1.20 -5

1.00

1

0.80

1

1.20

1

MIT PRATT PROJECT VELOCITY PREDICTION PROGRAM SUMMARY OUTPUT TRUE WIND SPEED AT 10 METERS- 16 KNOTS

REACHING WITH 110 DEG TRUE WINO ANGLE V TABULATED)

MODEL NUMBER -12-L

i

2

3

4 5 6 7 8 g

20 *

6.457

.333

6.614

6.44 1

6.479

6.231

6.594

6.613

6.375

30 *

7.563

7.451

7.726

7.519

7.630

7.357

7.668

7.743

7.466

40 *

8.500

8.400

8.655

8.443

8.588

8.304

8.584

8.688

8.395

50 *

9.317

9.232

9.457

9.252

9.418

9.129

9.380

9.506

9.209

60 * 10.048

9 978 10.169

9.975 10 .157

9.863 10.088 10.230

093

20 *

6.390

6.299

6.466

6.403

6.372

6.197

6.498

6.514

6.330

30 *

7453

7.377.

7.531

7.437

7.478

7.284

7.529

7.591

7.380

40 *

8.346

8.289

8.409

8.314

8.193

8.196

9.390

8.482

8.269

50 *

9.122

9.086

9.164

9.0 76

9.182

.8.988

9.132

9.246

).O43

60 *

9.813

9.798

9.83 1

9.754

9.682

9.694

9.788

9.920

9.733

20 *

6.451

6.322

6.651

6.4 26

6.517

6.222

6.583

6.6 25

6.364

30 *

7.584

7.455

7.8 11

7.511

7.705

7.365

7.678

7.7 97 7. 469

40 *

8.554

8.432

8.786

8.458

8.699

8.340

8.635

8.784

3.425

50 *

9.403

9.290

9.631

9.300

9.561

9. 192 9.4 76 9.64 L

9.266

60 * 10.163 10. 058 10. 382 10.055 10. 330

9.952 10. 226 10.4 04 10 .0 20

20 *

6.564

6.473

6.661

6.5 72

6.536

6.366

6.6 79 6. 703

6.491

30 *

7.683

7.610

7.775

7.673

7.690

7.509

7.769

7.839

7. 5-9

40 *

8.621

8.565

8.702

8.603

8.647

8.462

8.686

8.7 85

8.533

50 *

943

9.397

9.502

9.411

9.474

9.289

9.481

9.5 99

9.365

60 * 10.164 10. 142 10 .2 12 10. 132 10.211 10.027 10. 186 10.3 22 10. 071

20 *

6.440

6.3P0

6.480

6.460

6.397

6.281

6.525

6.554

6.364

30 *

7.515

7.473

7.550

7.515

7.508

7.381

7.571

7.639

7.451

40 *

8.410

8.398

8.429 .8.396

8.423

.9.295

8.436

8.531

4.3;3

50 *

9.185

9.184

9.184

9.158

9.211

9.087

9.179

9.295

9.117

60 *

9.875

9.695

9.851

9.835

9.OLO

9.792

9.835

9.968

9.907

20 *

6.605

6 .499

6.744

6.588

6.607

6.394

6.714

6.763

6.518

30 *

7.763

7.672

7.904

7.71 7.99

7.571

7.850

7.946

7.662

40 *

8.738

8.659

8.875

8.701

8.792

8.553

8.814

8.934

D,53Q

50 *

9,597

9.521

9.714

9.54 7

9.652

9.408

9.652

9.790

9.474

60 * 10.345 10. 293 10. 461 10.302 10.418 10.172 10.398 10.551 10.22

20 *

6.283

6.113

6.537

6.260

6.384

6.009

6.458

6.459

6.203

30 *

7.334

7 145

7.641

7.236

7.523

1.057

7.477

7.563

7.222

40 t

8.253

8.050

8.572

3.105

8.490

7.964

3.378

8.501

8.113

50 a

8.857

9.379

8.884

9.311

8.769

9.176

9.317

8.)17

60 *

9.795

9.588 10.095

9.595 10.053

9.492

9.887 10.043

9.639

20 *

6.290

6.127

6.441 6.277.

6.326

6.023

6.446

6.436

6.213

33 *

7.321

7.156

7.497

7.254

7.421

7.0&6

7.445

7.493

7.228

40 ..

o ,'

C)

8.046

8.374

8.111

9.334

7.955

8.297

8.379

p.103

50 *

8.930

9.831

9.129

8.867

9.125

8.733

9.037

9.143

2.71

60 *

9.671

9.535

9.797

9.542

9.376

9.429

9.693

9.818

9.559

20 *

6.268

6.099

6.528

6.243

6.381

5.996

6.441

6.445

6.19e

30 *

7.317

_7

'-'

S s L . 7. b5?

7.217

7.549

7.042

7.458

7.553

7.203

40 *

8.235

8.033

8.633

6.083

8.537

7.948

9.357

8.512

8.099

50 *

9.054

8.838

9.486

8.861

9.399

8.751

9.161

9.360

0997

60 *

9.7%

9.569 10.244

9.569 10.169

9.476

9.891 10.120

9.ó?2

r-13-

MIT PR.TT PROJECT VELOCITY PREDICT!ON PR0GAM SUMMARY OUTPUT TRUE WINC SPEED AT 10 METERS- 16 KNOTS

RUNNING AT OPTIMUM TRUE WIND ANLE (VMG TABULATED)

MODEL NUMBER SISCCG L 1. 2 3 4 5 6 7 8 9

20 *

5.830 5.822 5.801 5.814 5.824 5.795 5.814 5.884 5.799

30 *

6.696 6.718 6.638 6.657 6.712 6.694 6.629 6.718 6.670

1.00 -2 40 *

7.358 7.413 7.264 7.292 7.390 7.387 7.232 7.337 7.338

50 *

7.879 7.970 7.752 7.787 7.929 7.937 7.693 7.816 7.36

60 *

8.293 8.422 8.137 8.177 8.366 8.378 8.053 8.192 8.286

20 *

5.614 5.622 5.574 5.587 5.623. 5.602 5.573 5.648 5.589

30 *

6.440 6.483 6.360 6.3C3 6.467 6.463 6.333 6.429 6.421

0.80 -2 40 *

7.049 7.133 6.930 6.962 7.096 7.106 6.874 6.989 7.037

50 *

7.506 7.635 7.356 7.393 7.583 7.596 7.269 7.406 7.502

60 *

7.851 8.025 7.679 7.717 7.965 7.966 7.564 7.721

7.BY

20 *

6.008 5.986 5.986 5.999 5.988 5.953 6.009 6.074 5.971

30 *

6.901 6.905 6.857 6.872 6.907 6.878 6.860 6.946

6.%9

1.20 -2 40 *

7.594 7.623 7.520 7.543 7.616 7.600 7.503 7.604 7.568

50 *

8.154 8.218 8.048 8.079 8.189 8.187 3.010 8.124 8.133

60 *

8.612 8.709 8.476 8.514 8.664 8.671 8.415 8.544 8.597

20 *

5.830 5.821 5.801 5.814 5.824 5.795 5.814 5.884 5.798

30 *

6.696 6.717 6.638 6.656 6.712 6.693 6.628 6.718 6.670

1.00 -5 40 *

7.358 7.412 7.264 7.292 7.390 7.387 7.231 7.337 7.338

50 *

7.879 7.970 7.752 7.787 7.929 7.937 7.693 7.816 7.365

60 *

8.293 8.422 8.137 8.177 8.367 8.379 8.053 8.192 8.235 20 5.614 5.622 5.574 5.58? 5.623 5.601 5.573 5.648 5.589

30 *

6.440 6.484 6.360 6.383 6.467 6.463 6.333 6.429

6.'21

0.80 -5 40 *

7.049 7.133 6.930 6.962 7.096 7.106 6.874 6.989 7.C3 50 7.506 7.635 7.355 7.393 7.583 7.596 7.269 7.406

7q.2

60 *

7.851 8.025 7.679 7.717 7.965 7.967 7.564 7.722 20 $ 6.009 5.989 5.986 6.001 5.988 5.955 6.010 6.074 5.972

30 *

6.901 6.906 6.857 6.873 6.006 6.878 6.861

5.946 &.9

1.20 -5 40 *

7.594 7.627 7.520 7.543 7.616 7.600 7.503 7.504 7.567

50 *

8.153 8.218 8.048 8.079 8.189 3.137 8.009 8.124 8.L33

60 *

8.612 8.709 8.476 8.514 8.664 8.672 8.415 8.544

8.57

20 *

5.828 5.819 5.801 5.812 5.824 5.792 5.813 5.884 5.70.5

30 *

6.696 6.716 6.633 6.655 6.713 6.692 6.623 6.719 6.669 1.00

1 40 *

7.359 7.412 7.265 7.291 7.390 7.387 7.232 7.338 7.333 50 7.879 7.970 7.752 7.787 7.929 7.938 7.693 7.816

60 *

8.293 8.422 8.137 8.177 8.366 3.378 8.053 8.192 8.23

20 *

5.615 5.622 5.574 5.588 5.623 5.602 5.573 5.549 5.589

30 *

6.440 6.484 6.360 6.384 6.467 6.463 6.333

6.429 6.1

0.80

i 40 *

7.049 7.133 6.930 6.962 7.096 7.106 6.874 6.98Y

7.i37

50 *

7.506 7.636 7.356 7.393 7.5ß3 7.596 7.269 7.406

7.02

60 *

7.851 3.025 7.679 7.716 7.965 7.056 7.564 7.721

7.-5

20 6.005 5.987 5.985 6.002 5.987 5.954 6.007 6.072 5.970

30 *

6.898 5.902

6.8):

6.870 6.907 6.874 6.858 6.945 5. 1.20 1 40 $ 7.592 7.624 7.520 7.540 7.516 7.597 7.502 7.604 7.555

50 *

8.153 8.215 8.043 8.077 8.189 8.185 8.009 8.124 B.13?

60 *

8.611 9.707 8.476 8.512 8.664 8.669 8.415 8.543

3.55

pr

4-MIT PRATT PROJECT VELOCITY PREDICTÍON PROGRAM SUMMARY OUTPUT

TRUE RIND SPEED AT 10 METERS- 20 KNOTS

BEATING AT OPTIMUM TRUE WIND ANGLE (VMG TABULATED)

MODEL NUMBER T -S/SOCG L 1 2 3 4 5 6 7 8 9

20 *

4.356

4.311

4.537

4.297

4.471

4.189

4.422

4.424

4.332

30 *

5.110

i.055

5.347

4.975

5.321

4.940

5.123

5.203

5.060

1.00 -2 40 *

5.775

5.718

6.047

5.590

6.047

5.597

5.755

5.838

5.704

50 *

6.367

6.311

6.660

6.145

6.678

6.180

6.321

6.489

6.'79

60 *

6.897

6.845

7.202

6.64q

7.237

6.703

6.831

7.023

6.79c

20 *

4.458

4.418

4.613

4.405

4.553

4.301

4.520

4.526

4.432

30 *

5.225

5.183

5.415

5.103

5.393

5.068

5.233

5.308

5.176

0.80 -2 40 *

5.889

5.858

6.097

5.728

6.101

5.734

5.862

5.979

50 *

6.469

6.454

6.687

6.282

6.712

6.315

6.416

6.561

6.35

60 *

6.982

6.986

7.205

6.777

7.251

6.829

6.907

7.074

6.7U2

20 a

4.254

4.200

4.446

4.188

4.376

4.078

4.321

4.321

4.232

30 *

4.993

4.927

5.243

4.848

5.215

4.812

5.006

5.086 444

1.20 -2 40 *

5.648

.579

5.944

5.451

5.944

5.459

5.627

5.762

5.579

50 *

6.231

6.162

6.567

5.997

6.586

6.033

6.186

6.361

6.145

60 *

6.757

6.690

7.123

6.493

7.158

6.548

6.694

6.903

6.355

20 *

4.497

4.486

4.625

4.438

4.577

4.380

4.531

4.563

4.473

30 a

5.328

5.328

5.469

5.212

5.461

5.226

5.302

5.405 5.4

1.00 -5 40 *

6.039

6.062

6.187

5.894

6.203

5.948

5.978

6.120

5.',3

50 *

6.658

6.704

6.809

6.494

6.944

6.574

6.570

6.740

6.'94

60 *

7.205

7.276

7.358

7.028

7.409

7.128

7.096

7.286

7.136

20 a

4.575

4.567

4.675

4.531

4.629

4.473

4.609

4.639

4.553

30 *

5.398

5.426

5.504

5.308

5.496

5.315

5.377

5.465

.15I.

0.80 -5 40 *

6.092

6.148

6.199

5.977

6.216

6.022

6.035

6.159

6.046

50 *

6.691

6.774

6.795

6.559

6.834

6.632

6.606

6.754

6.340

60 *

7.218

7.32

7.317

7.073

7.176

7.169

7.109

7.274

7.13

20 *

4.405

4.3-91

4.541

4.340

4.493

4.284

4.438

4.468

4.3F3

30 *

5.224

5.220

5.386

5.099

5.383

5.116

5.196

5.302

5.1l

1.20 -5 40 *

5.936

5.943

6.117

5.773

6.138

5.833

5.869

6.027

5.7a

50 a

6.565

6.583

6.755

6.373

6.7g4

6.463

6.469

6.661

6.'92

60 *

7.124

7.162

7.320

6.916

7.374

7.028

1.008

7.222

7.344

20 *

4.179

4.065

4.434

4.120

4.133

3.906

4.293

4.250

4.155

30 *

4.805

4.615

5.152

4.639

5.110

4.469

4.893

4.925

4.7-7

1.00

1 40 a

5.379

5.141

5.848

5.137

5.796

4.991

5.450

5.537

5...9D

so a

5.898

5.627

6.442

5.600

6.405

5.468

5.959

6.37

5.7-Th

60 a

6.371

6.072

6.972

6.028

6.950

5.901

6.426

6.586

6.251

20 *

4.295

4.17

4.529

4.244

4.439

4.044.

4.403

4.365

4.272

30 *

4.944

4.776

5.285

4.790

5.227

4.629

5.024

5.059

4.8Ev

0.80

1

40 *

5.531

5.317

5.947

5.303

5.909

5.167

5.594

5.382

5.4'-i

50 *

6.06?

5.815

6.524

5.778

6.505

5.655

6.112

6.234 5.7

60

6.542

6.270

7.036

6.215

7.034

o.O76

6.579

6.727

6.'.2

20 *

4.060

3.92-9

4.336

3.994

4.227

3.762

4.184

4.134

4.240

30 +.557

4.45

5.068

4.483

4.988

4.307

4.763

4.791

'..I1

1.20

1 40

50 *

5.228

5.737

4.9o,

S.43-i

6.311

5.724

4.968

5.421

6.267

5.664

4.819

5.285

5.307

5.807

5.934

.392

5.36

5.145

60 *

6.202

5.875

6.843

5.843

6.810

5.708

6.261

6.426

o.:33

-15-MIT PRATT PROJECT VELOCITY PREDICTION PROGRAM SUMMARY OUTPUT

TRUE WIND SPEED AT 1.0 METERS- 20 KNOTS

REACHING WITH 110 DEG TRUE WIND ANGLE (V TABULATED)

/SOCG L MOCEL NUMBER 5 6 7 8 9 1 2 3 4

20 *

6.689

6.536

6.901

6.663

6.736

6.421

6.837

6.876

6.91

30 *

7.861

7.706

8.105

7.789

7.962

7.604

7.972

8.093

7.737

1.00 -2 40 *

8.868

8.715

9.119

8.774

8.987.

8.613

8.970

9.117

8.729

50 *

9.744

9.598

9.993

9.648

9.874. 9.491

9.849 10.005

9.598

60 * 10.525

10.385

10.767 10.428 10.661 10.271 .10.628 10.791 1.0.37'.

20 *

6.696

6.550

6.868

6.681

6.691

6.433

6.853

6.864

6.604

30 *

7.834

7.700

8.007

7.796

1.871

7.595

7.962

8.027

7.729

0.80 -2 40 *

8.798

8.673

8.961

8.753

8.853

8.567

8.911.

9.001

b.c,86

50 *

9.634

9.521

9.783

9.585

9.701

9.411

9.733

9.841

9.519

60 * 10.378 10.278 10.509 10.324 10.452 10.163 10.459 10.583 10.261

20 *

6.674

6.522

6.884

6.646

6.725

6.409

6.819

6.960

6.576

30 *

7.845

7.691

8.097

7.771

7.978

7.591

7.953

8.081

7.721

1.20 -2 40 *

8.858

8.700

9.145

8.755

9.039

8.600

8.949

9.131

8.714

50 *

9.752

9.591 10.066

9.629

9.956

9.488

9.836 IC.054

9.91

60 * 10.559 10.395 10.881 10.419 10.770 10.288 10.636 10.973 10.383

20 *

6.865

6.731

7.Ò18

6.844

6.843

6.608

6.985

7.037

6.765

30 *

8.061

7.944

8.219

8.027

8.069

7.828

9.165

8.260

7g4g

1.00 -5 40 *

50 *

9.066

9.939

8.959

9.841

10.085

9.221

9.033

9.906

9.090

9.972

9.716

8.840

10.036

9.167

IC.162

9.281

9.b16

8.94,

60 a 10.714 10.626 10.850 10.682 10.754 10.496 10.806 10.942 10.i3

20 *

6.315

6.703

6.923

6.828

6.755

6.577

6.952

6.965

6.732

30 *

7.960

7.865

8.060

7.958

7.935

7.750

8.069

8.129

7.e58

0.80 -5 40 *

8.920

8.840

9.009

8.913

8.913

3.725

9.013

9.093

50 *

9.751

9.685

9.821

9.739

9.757

9.5o7

9.829

9.32

60 * 10.488 10.437 10.549 10.472 10.504 10.316 l0.54) 10.668 10.390

20 *

6.852

6.718

7.012

6.828

6.960

6.597

6.967

7.031

6.751

30 *

8.075

7.944

3.260

8.017

8.131.

7.833

8.154

8.297

7.90

1.20 -5 40 *

9.118

8.994

9.313

9.047

9.184

8.880

9.189

9.360

8.981

50 * 10.023

9.907 10.221

9.956 1C.C97

9.186 10.102 10.278

9.d78

60 * 10.828 10.719 11.025 10.764 10.90S 10.5Y 10.912

11..0Q3 Ifl.78

20 *

6.486

6.297

6.763

6.460

6.582

6.183

6.679

6.679

6.3Th

30 *

7.580

7.368

7.930

7.481.

7.788

7.273

7.740

7.33 7.47

1.00

1 40

8.536

8.306

8.946

8.389

8.815

9.216

3.683

8.834

,.3B9

53 a

9.386

9.142

9.834

9.204

9.703

9.051

9.526

9.719

9.221

60 * 10.156

9.899 10.62C

9.944 1.0.494

9.805 10.291 10.507

)974

20 *

6.504

6.313

6.777

6.481

6.586

6.199

6.700

6.696

6.414

30 *

7.599

7.386

7.915

7.503

7.760

7.290

7.763

7.844

7.476

0.80

1

40 *

8.554

8.326

8.877

8.413

8.744

8.234

.701

8.Pld

8.411

50 a

9.392

9.162

9.707

9.230

9.596

9.069

9.537

9.662

q.2'0

60 * 10.141

9.914 10.440

9.972 10.352

9.815 10.274 10.409

9.984

20 *

6.468

5.279

6.746

6.439

6.570

6.167

6.659

6.662

6.378

30 *

7.561

7.349

7.912

7.458

7.775

7.256

7.719

7.816

7.37

1.20

i 40 *

8.516

8.237

8.927

8.365

8.807

8.199

8.660

8.815

P.69

50 *

9.365

9.122

9.826

9.179

9.717

9.032

9.501

9.698

9.199

60 * 10.133

9.878 10.638

9.917 10.6 9.735 10.264 10.495

9.iSl

-16-MIT PRATT PROJECT VELOCITY PREDICTION PROGRAM SJMMARY CUTPT

TRUE WINC SPEED 41 lo METERS- 20 KNOTS

RUNNING AT OPTIMUM TRUE WIND ANGLE (YMG TABULATED) MODEL NUMBER S/SCCG L 1 2 3 4 5 6 7 8 9

20 *

6.409

6.363

6.391

6.416

6.345

6.309

6.440

6.495

6.160

30 *

7.375

7.348

7.349

7.368

7.346

7.303

7.382

7.453

7.329

1.00 -2 40 *

8.144

8.138

8.102

8.122

8.138

8.097

8.121

8.2 13

8.102

50 *

8.787

8.802

8.723

8.748

8.797

8.763

8.725

8.831

8.748

60 *

9.338

9.377

9.249

9.280

9.360

9.336

9.234

9.352

9.304

20 *

6.169

6.139

6.149

6.168

6.132

6.097

6.184

6.245

6.128

30 *

7.111

7.102

7.075

7.093

7.103

7.066

7.093

7.175

7.072

0.80 -2 40 *

7.854

7.870

7.794

7.817

7.865

7.336

7.794

7.893

7.820

50 *

8.469

8.511

8.380

8.410

8.493

8.476

8.361

8.473

8.439

60 *

8.987

9.059

8.868

8.906

9.024

9.019

8.829

8.955

8.963

20 *

6.620

6.564

6.600

6.638

6.527

6.496

6.666

6.710

6.566

30 *

7.595

7.554

7.574

7.597

7.546

7.499

7.619

7.689

7.543

1.20 -2 40 *

8.382

8.358

8.352

8.370

8.360

8.309

.382

8.470

8.332

50 *

9.043

9.038

8.996

9.016

9.040

8.993

9.013

9.115

8.97

60 *

9.614

9.630

9.547

9.572

9.625

9.586

9.549

9.663

9.572

20 *

6.411

6.366

6.391

6.418

6.364

6.312

6.442

6.495

6.363

30 *

7.375

7.349

7.349

7.370

7.345

7.303

7.383

7.458

7.329

1.00 -5 40 *

8.144

8.137

8.101

8.123

8.138

8.096

8.120

8.212

8.101

50 *

8.786

8.802

8.722

8.747

8.796

8.762

8.725

8.831

8.748

60 *

9.337

9.376

9.249

9.280

9.360

9.336

9.234

9.352

9.103

20 *

6.169

6.19

6.148

6.168

6.132

6.097

6.184

6.244

6.127

30 *

7.110

7.102

7.075

7.093

7.103

7.066

7.093

7.175

7.072

0.80 -5 40

7.854

7.870

7.794 .7.817

7.366

7.836

7.794

7.393

7.820

50 *

8.469

8.511

8.380

8.410

8.493

3.476

3.360

8.474

8.439

60

8.988

9.05'?

8.868

8.906

9.024

9.019

8.829

8.955

8.963

20 *

6.622

6.565

6.601

6.637

6.529

6.497

6.666

6.712

6.567

30 *

7.598

7.557

7.576

7.599

7.546

7.503

7.622

7.691

7.546

1.20 -5 40 *

8.384

8.36 1

8.352

8.373

8.359

8.312

8.385

8.471

8.335

50 *

9.044

?.040

8.996

9.019

9.039

8.994

9.015

9.115

8.998

60 *

9.614

9.630

9.547

9.513

9.624

9.586

'?.550

9.663

9.572

20 *

6.406

6.366

6.38'?

8.420

6.343

6.314

6.441

6.492

6.361

30

7.372

7.344

7.34e

7.368

7.346

7.298

7.379

7.456

7.325

1.00

1 40

8.142

6.133

8.102

8.118

8.138

3.092

8.118

8.212

8.098

50 *

8.785

8.799

3.723

8.744

8.79?

8.759

8.723

8.832

8. 145 60

9.337

9.375

9.249

9.277

9.360

9.334

9.233

9.352

9.302

20 *

6.168

6.136

6.149

6.165

6.132

6.094

6.183

6.245

6.125

30

7.111

7.100

7.075

7.091

7.104

7.064

7.093

7.176

7.071

0.80

1 40 *

7.855

7.870

7.794

7.816

7.866

7.836

7.794

7.893

7.12i

50 *

8.469

8.512

8.380

3.410

6.493

8.477

8.361

8.474

8.440

60 *

8.988

9.050

8.868

8.907

9.024

9.020

8.829

8.955

8.964

20 *

6.629

6.579

6.600

6.643

6.524

6.512

6.672

6.714

6.576

30

7.600

7.564

7.572

7.609

7.543

7.537

7.627

7.686

7.52

1.20

1 40 '-

8.381

8.360

8.349

8.378

3.158

8.310

8.384

8.467

3.435

50

9.039

9.034

8.994

9.019

9.039

8.986

9.010

9.112

8.993

60 *

9.610

9.6.24

9.67

9.569

9.625

9.579

9.546

9.661

9S57

-17-MIT PRATT PRCJECT. VELOCE.TY PREOICTIflN PROGRAM SUMMA? OUTPUT

TRUE WINC SPEED AT lo METERS- 24 KNOTS

TABULATED)

BEATING AT OPTIMUM TRUE WIND ANGLE (VMG

S/SCCG L MODEL NUMBER 5 6 7 R 9 1 2 3 4

20 *

4.386

4.326

4.579

4.324

4.496

4.204

4.464

4.463

4.362

30 *

5.174

5.101

5.421

5,034

5.376

4.989

5.198

5.276

5.125

1.00 -2 40 *

5.872

5.795

6.159

5.683

6.141

5.630

5.864

5.994

5..Û2

50 *

6.493

6.413

6.817

6.270

6.816

6e294

6.464

6.632

6.409

60 *

7.055

6.982

7.408

6.804

7.419

6.847

7.009

7.208

6.,7

20 *

4.505

4.454

4.684

4.452

4.608

4.335

4.582

4.584

4.479

30

5.310

5.250

5.539

5.183

5.497

.137

5.335

5.413

5.29

0.80 -2 40 *

6.019

5.957

6.275

5.844

6.256

5.830

6.012

6.139

5.348

50 60 * *

6.649

_7.211

6.589

7.162

5.919

7.490

6.441

6.983

7.502

6.916

6.462

7.023

6.618

7.161

6.775

7.340

6.55,

7.113

20 *

4.266

4.195

4.472

4.192

4.384

4.071

4.345

4.341

4.244

30 *

5.039

4.952

5.298

4.885

5.250

4.841

5.062

5.139

4.931

1.2C -2 40 *

5.726

5.635

6.029

5.522

6.006

5.521

5.717

5.848

5.b3

50 *

6.339

6.249

6.680

6.100

6.676

6.126

6.308

6.478

6.257

60 *

6.894

6.806

7.268

6.626

7.280

6.672

6.846

7.048

6.798

20 *

4.536

4.512

4.674

4.474

4.611

4.404

4.580

4.608

4.512

30 *

5.393

5.392

5.560

5.278

5.539

5.280

5.385

5.487

5.355

1.00 -5 40 *

6.149

6.143

6.329

5.992

6.329

6.035

6.099

6.252

6.090

50 *

6.814

6.817

7.001

6.631

7.016

6.701

6.738

6.922

6.742

60 *

7.406

7.428

7.598

7.208

7.626

7.298

7.312

7.518

7.327

20 *

4.642

4.623

4.769

4.589

4.706

4.516

4.690

4.720

4.L4

30

5.515

5.505

5.654

5.410

5.627

5.406

5.508

5.504

5.67?

0.80 -5 40 *

6.262

6.276

6.605

6.131

6.3)9

6.162

6.222

6.356

6.22

50 *

6.912

6.949

7.055

6.766

7.067

6.820

6.849

7.007 6.1

60

7.489

7.547

7.632

7.331

7.658

7.404

7.406

7.582

i.42

20 *

4.429

4.338

4.572

4.358

4.508

4.290

4.471

4.498

4.'08

30

5.279

5.25-

5.447

5.1.'7

5.425

5.154

5.261

5.363

5.233

1.20 -5 40 *

6.020

6.006

6.209

5.851

6.215

5.900

5.967

6.119 5.4

50 *

6.677

6.o74

6.885

6.482

6.913

6.558

6.597

6.787

6.607

60

7.269

7.275

7.496

7.052

7.534

7.150

7.168

1.388

7.13

20 *

's.194

4.06-0

4.459

4.131

4.350

3.900

4.328

4.278

4.173

30 *

4.858

4.647

5.24

4.680

5.157

4.506

4.959

4.988

1.00

1 40 *

5.468

5.212

5.945

5.213

5.871

.072

5.552

5.55

50

6.021

5.734

6.569

5.716

6.508

5.585

6.095

6.218

.21i

60 *

6.527

6.213

7.13b

6.178

7.086

o.O3

5.593

6.743

6.-08

20 *

4.333

4.221

4.585

4.282

4.474

4.066

4.458

4.415

4.309

30 *

5.019

4.836

5.382

4.82

5.298

4.694

5.115

5.144

4.63

0.80

1 40 *

5.644

5.416

6.089

5.412

6.026

5.274

5.719

5.303

5.5I

50 *

6.209

5.949

6.719

5.922

5.6-57

5.800

6.272

6.395

6.105

60

6.722

6.438

7.273

6.392

7.241

6.217

6.779

6.934

5.603

20

4.069

3.839

4.353

3.961

4.225

3.720

4.186

4.133

4.031

30

4.694

4.447

5.115

4.474

5.015

4.307

4.797

4.830

4.623

1.20

1 40

5.29?

5.002

5.801

5.000

5.720

4.862

5.380

5.467

5,21?

50 *

5.837

5.5!.?

6.418

5.496

5.349

5.371

5.918

6.041

5.737

60 *

6.333

5.983

6.978

5.051

6.920

5.833

6.413

6.564

6.216

50 * 10.324 10.183 60 * 11.144 11.009 20 * 7.088 6.937 30 * 8.300 8.165 0.80 -5 9.318 9.193

-J-o-MIT PRATT PROJECT VELcCrrY PREDICTION PROGRAM SUMMARY OUTPUT

TRUE WIND SPEED AT 10 ?'ETERS- 24 KNOTS

REACHING WITH 110 DEC TRUE WTND ANGLE (V TABULATED)

MODEL NUMBER S/SOCG L 1 2 3 4 5 6 7 8 9 20 * 6.880 6.707 7.102 6.850 6.910 6.577 7.039 7.077 6.772 30 * 8.082 7.905 8.344 8.006 8.191 7.792 8.203 8.331 7.949 1.00 -2 40 * 9.124 8.942 9.421 9.021 9.277 8.829 9.232 9.411 8.971 50 * 10.045 9.857 10.365 9.924 10.213 9.742 10.147 10.360 9.876 60 * 10.874 10.682 11.199 10.739 11.044 10.563 10.975 11.199 10.691 20 * 6.899 6.724 7.122 6.872 6.919 6.593 7.062 7.096 6.791 30 * 8.101 7.923 8.345 8.027 8.162 7.807 8.227 8.338 7.968 0.80 -2 40 * 9.125 8.955 9.372 9.064 9.200 8.839 9.253 9.379

8.ic3

50 * 10.016 9.852 10.256 9.937 10.099 9.731 10.147 10.280 9.68 60 * 10.805 10.649 11.038 10.732 10.896 10.523 10.939 11.077 10.657 20 6.861 6.688 7.083 6.828 6.896 6.562 7.016 7.058 6.754 30 * 8.064 7.888 8.325 7.984 8.177 7.777 8.180 8.3 12 7.730 1.20 -2 40 * 9.105 8.924 9.401 8.999 9.270 8.814 9.208 9.392 8.52 50 * 10.025 9.839 10.352 9.901 10.232 9.726 10.123 10.344 9.356 60 * 10.855 10.663 11.210 10.715 11.094 10.546 10.949 11.201 10.71 20 * 7.077 6.921 7.245 7.053 7.058 6.779 7.205 7.264

6.95

30 * 8.330 8.176 8.523 8.271 8.357 8.047 8.422 8.564 8.194 1.00 -5 40 * 9.400 9.250 9.602 9.330 9.431 9.119 9.487 9.653 9.252 10.529 10.262 10.360 10.046 10.424 10.590 10.171 11.348 11.089 11.184 10.866 11.254 11.421 10.337 7.246 7.074 7.030 6.792 7.227 7.265

6.30

8.458 8.275 8.270 8.031 8.425 8.505 8.183 9.47C 9.295 9.301 9.058 9.441

9.538 9.4

53 * 10.201 10.084 10.342 10.180 10.192 9.346 10.321 10.426 10.374 60 * 10.984 10.877 11.113 10.965 10.982 10.736 11.099 11.216 l0.56 20 * 7.060 6.905 7.227 7.034 7.044 6.756 7.183 7.247 6.749 30 8.313 8.160 8.505 8.251 8.359 8.033 8.401 8.547 8.173 1.20 -5 40 * 9.390 9.236 9.606 9.310 9.474 9.109 9.465

9.559 937

50 * 10.339 10.133 10.575 10.247 10.438 10.053 10.408 10.637 10.172 60 * 11.193 11.036 11.437 11.091 11.290 10.901 11.259 11.504 11.313 20 * 6.655 6.445 6.948 6.622 6.760 5.321 6.861 6.861 6.554 30 * 7.781 7.548 8.144 7.676 7.975 7.446 7.952 8.049 7.649 1.00 1 40 * 8.768 8.516 9.188 8.618 9.035 8.419 8.928 9.082 9.612 50 * 9.645 9.377 10.115 9.462 9.70 9.280 9.902 9.96 9.470 60 * 10.438 10.155 10.952 10.228 10.810 10.056 10.594 10.821 10.247 20 * 6.677 6.466 6.970 6.648 6.756 6.341 6.887 6.982 6.576 30 * 7.cO3 7.570 8.165 7.702 7.990 7.466 7.978 8.070 7.671 0.80 1 -0 * 8.791 8.538 9.207 8.645 9.034 8.439 8.956 9.104 8.536 50 * 9.659 9.399 10.110 9.491 9.938 9.3Q1 9.832 10.013 9.495 60 * 10.464 10.179 10.907 10.258 10.742 10.013 10.625 10.818 10.272 20 * 6.632 6.422 6.927 6.594 6.724 6.301 6.834 6.840 6.30 30 * 7.758 7.526 8.123 7.647 7.959 7.426 7.925 8.028 7.'25 1.20 1 40 * 8.745 8.493 9.167 8.589 9.019 3.399 8.901

9.060 8.3

50 * 9.o21 9.353 10.092 9.432 9.-54 9.259 9.774 9.974 9.t--50 * 10.413 10.132 10.928 10.198 10.795 10.035 l0.56 10.797 13._21

:-'i