The Computer Graphics Companion Online Edition

Damian Scattergood 1999-2001

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APPENDIX

TABLES - SIN - COS - TAN

Degree

Radian

SIN

COS

TAN

 

Degree

Radian

SIN

COS

TAN

0°

0.000

0.000

1.000

0.000

 

46°

0.803

0.719

0.695

1.036

1°

0.017

0.017

1.000

0.017

 

47°

0.820

0.731

0.682

1.072

2°

0.035

0.035

0.999

0.035

 

48°

0.838

0.743

0.669

1.111

3°

0.052

0.052

0.999

0.052

 

49°

0.855

0.755

0.656

1.150

4°

0.070

0.070

0.998

0.070

 

50°

0.873

0.766

0.643

1.192

5°

0.087

0.087

0.996

0.087

 

51°

0.890

0.777

0.629

1.235

6°

0.105

0.105

0.995

0.105

 

52°

0.908

0.788

0.616

1.280

7°

0.122

0.122

0.993

0.123

 

53°

0.925

0.799

0.602

1.327

8°

0.140

0.139

0.990

0.141

 

54°

0.942

0.809

0.588

1.376

9°

0.157

0.156

0.988

0.158

 

55°

0.960

0.819

0.574

1.428

10°

0.175

0.174

0.985

0.176

 

56°

0.977

0.829

0.559

1.483

11°

0.192

0.191

0.982

0.194

 

57°

0.995

0.839

0.545

1.540

12°

0.209

0.208

0.978

0.213

 

58°

1.012

0.848

0.530

1.600

13°

0.227

0.225

0.974

0.231

 

59°

1.030

0.857

0.515

1.664

14°

0.244

0.242

0.970

0.249

 

60°

1.047

0.866

0.500

1.732

15°

0.262

0.259

0.966

0.268

 

61°

1.065

0.875

0.485

1.804

16°

0.279

0.276

0.961

0.287

 

62°

1.082

0.883

0.469

1.881

17°

0.297

0.292

0.956

0.306

 

63°

1.100

0.891

0.454

1.963

18°

0.314

0.309

0.951

0.325

 

64°

1.117

0.899

0.438

2.050

19°

0.332

0.326

0.946

0.344

 

65°

1.134

0.906

0.423

2.144

20°

0.349

0.342

0.940

0.364

 

66°

1.152

0.914

0.407

2.246

21°

0.367

0.358

0.934

0.384

 

67°

1.169

0.921

0.391

2.356

22°

0.384

0.375

0.927

0.404

 

68°

1.187

0.927

0.375

2.475

23°

0.401

0.391

0.921

0.424

 

69°

1.204

0.934

0.358

2.605

24°

0.419

0.407

0.914

0.445

 

70°

1.222

0.940

0.342

2.748

25°

0.436

0.423

0.906

0.466

 

71°

1.239

0.946

0.326

2.904

26°

0.454

0.438

0.899

0.488

 

72°

1.257

0.951

0.309

3.078

27°

0.471

0.454

0.891

0.510

 

73°

1.274

0.956

0.292

3.271

28°

0.489

0.469

0.883

0.532

 

74°

1.292

0.961

0.276

3.487

29°

0.506

0.485

0.875

0.554

 

75°

1.309

0.966

0.259

3.732

30°

0.524

0.500

0.866

0.577

 

76°

1.326

0.970

0.242

4.011

31°

0.541

0.515

0.857

0.601

 

77°

1.344

0.974

0.225

4.332

32°

0.559

0.530

0.848

0.625

 

78°

1.361

0.978

0.208

4.705

33°

0.576

0.545

0.839

0.649

 

79°

1.379

0.982

0.191

5.145

34°

0.593

0.559

0.829

0.675

 

80°

1.396

0.985

0.174

5.671

35°

0.611

0.574

0.819

0.700

 

81°

1.414

0.988

0.156

6.314

36°

0.628

0.588

0.809

0.727

 

82°

1.431

0.990

0.139

7.115

37°

0.646

0.602

0.799

0.754

 

83°

1.449

0.993

0.122

8.144

38°

0.663

0.616

0.788

0.781

 

84°

1.466

0.995

0.105

9.514

39°

0.681

0.629

0.777

0.810

 

85°

1.484

0.996

0.087

11.43

40°

0.698

0.643

0.766

0.839

 

86°

1.501

0.998

0.070

14.30

41°

0.716

0.656

0.755

0.869

 

87°

1.518

0.999

0.052

19.08

42°

0.733

0.669

0.743

0.900

 

88°

1.536

0.999

0.035

28.64

43°

0.750

0.682

0.731

0.933

 

89°

1.553

1.000

0.017

57.29

44°

0.768

0.695

0.719

0.966

 

90°

1.571

1.000

0.000

 

45°

0.785

0.707

0.707

1.000

           
 

MEASURES AND UNITS

LENGTH
Base Unit : Metre    
10 millimetres (mm) = 1 centimetre (cm)
10 centimetres (cm) = 1 decimetre (dm)
10 decimetres (dm) = 1 metre (m)
1000 metres (m) = 1 kilometre (km)
AREA
S.I. Unit : Square Metre    
100 metres squared (m²) = 1 are (a)
100 ares (a) = 1 hectare (ha)
VOLUME
S.I. Unit : Cubic Metre    
1 litre (l) = 1000 cm³
1000 cm³ = 1 dm³
MASS
Base Unit : Kilogramme    
1000 grammes (g) = 1 kilogramme (kg)
1000 kilogrammes (kg) = 1 tonne (t)

MULTIPLE PREFIXES

Prefix

Unit
Value

Symbol

Prefix

Unit
Value

Symbol

tera-

T

centi-

c

giga-

G

milli-

m

mega-

M

micro-

µ

kilo-

k

nano-

n

hecto-

h

pico-

p

deca-

da

femto-

f

deci-

d

atto-

a

Unit of length : Metre (m) Unit of mass : kilogramme
Unit of force : Newton (N) = kgm/s² Unit of work : Joule (J) = Nm
Unit of power : Watt (W) = J/s  

Linear motion with constant acceleration:

v = u + ft

s = ut + ½ft²

v² = u² + 2fs

 
Potential Energy : mgh Kenetic Energy = ½mv²
For a Conservative System :

Potential Energy +Kinetic Energy = constant		  
Momentum of a particle:  
Impulse of a force = change in momentum  

Coefficient of Restitution =

  
Centripetal acceleration =  

Hookes Law : p = kx, where

p = force

x = extension

k = constant

 

Centroid:

Arc, radius r, angle 2q at centre :

from centre.

Sector of disc, radius r, angle 2q :

from centre

 
Triangular lamina : from base along

median.		  

Centre of Gravity :

Hemisphere, radius r: from centre

Hemspherical shell, radius r : from

centre

Right circular cone, height h: from base.

Pressure at Point in fluid: r gh

Thrust on immersed plane surface :

Area x pressure at centroid

Moments of Inertia  

Uniform Rod, length 2L

Uniform hoop, radius r:

Uniform disc, radius r:

Uniform solid sphere, radius r:

  

IMPERIAL - METRIC CONVERSION TABLES

LENGTH      

1 yard

= 0.9144 m

1 m

= 1.094 yards

1 inch

= 2.54 cm

1 cm

= 0.3937 inches

1 mile

= 1.609 km

1 km

= 0.6214 miles
AREA      

1 square yard

= 0.8361 m²

1 m²

= 1.196 square yards

1 acre

= 0.4047 ha

1 ha

= 2.471 acres

1 square mile

= 2.590 km²

1 km²

= 0.3861 square miles

1 square inch

= 6.452 cm²

1 cm ²

= 0.1550 square inches
VOLUME      

1 cubic yard

= 0.7646 m³

1 m³

= 1.308 cubic yards

1 cubic inch

= 16.39 cm³

1 cm³

= 0.06102 cubic inches

1 pint

= 0.5682 l

1 l

= 1.760 pints
MASS      

1 pound

= 0.4536 kg

1 kg

= 2.205 pounds

1 ton

= 1.016t

1 t

= 0.9842 tons
1