N  F  O  R  M  A I  O   N

THIS PAGE HAS NOTHING TO DO WITH BOWLING


BUT I HOPE THE CONTENTS MAY PROVE USEFUL TO SOME OF YOU ESPECIALLY
ANY STUDENTS LOOKING FOR THESE TYPES OF FORMULA FOR HOMEWORK,
OR IF YOU NEED TO WIRE UP YOUR CAR FOR TOWING A CARAVAN OR TRAILER.


MATHMATICAL CONVERSIONS AND FORMULAS


IMPERIAL TO METRIC CONVERSIONS

UNITS OF LENGTH AND AREA

Inches (inc)
x
............. 25. 4
=
Millimeters
Feet (ft)
x
............. . 3
=
Meter
Yards (yd)
x
............. . 9
=
Meter
Miles (ml)
x
............. 1. 6
=
Kilometers
Square inches (in2)
x
............. 6. 5
=
Sq Centimeters
Square Feet (ft2)
x
............. 1
=
Sq Meter
Square Yards (yd2)
x
............. 8
=
Sq Meter
Acres
x
............. 4
=
Hectares
Cubic feet (ft3)
x
............. . 03
=
Cu Meter
Cord (cd)
x
............. 3. 6
=
Cu Meter
Quarts (qt)
x
............. . 9
=
Litre
Gallons (gal)
x
............. . 004
=
Cu Meters
Ounces (oz)
x
............. 28. 4
=
Grams
Pounds (lb)
x
............. 5
=
Kilogram
Horsepower (hp)
x
............. 7
=
Kilowatt
Degrees Farenheit (-32)
x
............. 5/9
=
Degrees Celcius

METRIC TO IMPERIAL CONVERSIONS

Millimeters (mm)
x
. . 04
=
Inch
Meters (m)
x
. 3. 3
=
Feet
Meters (m)
x
. 1. 1
=
Yards
Kilometers (km)
x
.. . 6
=
Mile
Sq Centimeters (cm2)
x
. . 2
=
Sq inch
Sq Meters (m2)
x
. 10. 8
=
Sq Feet
Sq Meters (m2)
x
. 1. 2
=
Sq Yards
Hectares (ha)
x
. 2. 5
=
Acres
Cu meters (m3)
x
. 35. 3
=
Cu Feet
Litres (l)
x
. 1. 1
=
Quarts
Cu Meters (m3)
x
. 284. 2
=
Gallons
Grams (g)
x
. . 04
=
Ounce
Kilograms (kg)
x
. 2. 2
=
Pounds
Kilowatts (kw)
x
. 1. 3
=
Horsepower
Degrees Celcius
x
........... 9/5+32
=
Degrees Fahrenheit

CUSTOMARY METRIC CONVERSIONS

UNITS OF CAPACITY

Fluid ounce (fl oz)
=
Liquid
=
29. 573 ml
Pint (pt)
=
16 fl oz
=
. 473 ltr
Quart (qt)
=
32 fl oz or 2 pt
=
. 946 ltr
Gallon (gl)
=
8 pt
=
3. 785 ltrs
teaspoon (tsp)
=
=
5 ml
Tablespoon (tbsp)
=
=
15 ml
Cup (c)
=
=
. 24 ltr
Pint (pt)
=
Dry
=
. 551 dm3
Quart (qt)
=
2 pints
=
1. 101 dm3
Peck (pk)
=
8 quarts
=
8. 810 dm3
Bushel (bu)
=
32 quarts
=
35. 238 dm3
Milliter (ml) = .001 ltr
=
34 fl oz (liquid)
=
.002 pt (dry)
Liter (l)
=
1.057 qt (liquid)
=
.908 qt (dry)
Hectoliter (hl) = 100 ltrs
=
26.418 gal (liquid)
=
2.838 qt (dry)

CUSTOMARY METRIC CONVERSIONS:

UNITS OF LENGTH AND CAPACITY

Inches (in)
=
1 in
=
25. 4 mm
foot (ft)
=
12 in
=
. 305 mtr
Yard (yd)
=
36 in or 3 ft
=
. 914 mtr
Mile (mi)
=
5,280 ft
=
1. 609 kilometers
In2 (sq in)
=
=
6. 452 cm2
Ft2 (sq ft)
=
144 sq in
=
. 093 m2
Yd2 (sq yd)
=
1,296 sq in or 9 sq ft
=
. 836 m2
Acre
=
43,560 sq ft
=
. 405 ha
Mile2 (sq ml)
=
640 acres
=
2. 59 km2
Millimeter (mm)
=
.001 meter
=
. 039 in
Centimeter (cm)
=
.01 meter
=
. 394 in
Decimeter (dm)
=
.1 meter
=
3. 937 in
Meter (m)
=
=
3. 381 in
Kilometer (km)
=
1000 mtrs
=
. 621 mile
Sq Millimeter (mm2)
=
.000001 m2
=
. 002 sq in
Sq Centimeter (cm2)
=
. 001 m2
=
. 155 sq in
Sq Meter (m2)
=
=
10. 764 sq ft
Hectare (ha)
=
10,000 m2
=
2. 471 acres
Sq Kilometer (km2)
=
1,000,000 m2
=
. 386 sq mi

CUSTOMARY METRIC CONVERSIONS

UNITS OF WEIGHT

Grain
=
Avoirdupois
=
. 065 gram
Ounce (oz avdp)
=
437. 5 grains or 16 drams
=
28. 350 grams
Pound (lb avdp)
=
7,000 grains or 16 oz
=
. 454 Kilogram
Hundredweight (cwt)
=
1,000 pounds
=
45. 359 Kg
Ton, short (tn)
=
2,000 pounds
=
. 907 metric ton
Ton, Long
=
2,240 pounds
=
1016 metric tons
Ounce (oz troy)
=
480 grains
=
31. 104 grams
Pound (lb troy)
=
5,760 grains
=
. 373 kilogram
Gram (g)
=
=
. 35 oz avdp or . 032 oz troy
Dekagram (dag)
=
10 g
=
. 353 oz avdp or . 322 oz troy
Hectogram (hg)
=
10 g
=
3. 527 oz avdp or 3. 215 oz troy
Kilogram (kg)
=
1,000 g
=
2. 205 lb avdp or 2.679 lb troy
Metric ton
=
1,000 kg
=
2. 102 short tons or . 984 long ton

TO CONVERT TEMPERATURE

Centigrade to Farenheit = Farenheit  x 1. 8 + 32    Farenheit to Centigrade = Centigrade - 32 x . 555 

GEOMETRIC FORMULA

CIRCLE Area
=
½ diameter x ½ circumference
Area of a sector
=
length of Arc x ½ Radius
Area of Segment which is greater than a Semicircle
=
Area of sector of equal radius + area of triangle
Area of Segment which is Less than a Semicircle
=
Area of sector of equal radius - area of triangle
Circumference
=
Diameter x 3.1416
=
Radius x 6.283185
Diameter
=
Circumference x . 3183
Radius
=
Circumference x . 0159155
CYLINDER OR PRISM Surface
=
(Area of both ends + length) x Circumference
ELLIPSE Area
=
Product of the two diameters x . 7854
PARABOLA Area
=
2/3 Altitude x base
PARALLELOGRAM Area
=
Altitude x base
POLYGON (Regular) Area
=
Sum of sides x perpendicular from center to one of sides devided x 2
PYRAMID or CONE Surface
=
Circumference of base x ½ slant height + area of base
SPHERE Circumference
=
Cube root of solidity x 3.8978
=
Square root of surface x 1.772454
Contents
=
Diameter x . 5236
Contents of Segment
=
(Height squared + 3 times the Sq of radius of base) x (height x . 5236)
Diameter
=
Sq root of surface x . 56419
=
Cube root of solidity x 1.2407
Surface
=
Circumference x Diameter
Volume
=
Surface x 1/6 Diameter
=
Diameter cubed x . 5236
=
Radius cubed x 4.1888
=
Circumference Cubed x . 016887
SQUARE / RECTANGLE Area
=
Length x Width
TRAPEZIUM Area
=
Devide trapezium into 2 triangles, add their areas
TRAPEZIOD Area
=
Altitude x ½ sum of parallel sides
TRIANGLE Area
=
½ Altitude x Base
WEDGE Contents
=
½ Altitude x Area of Base


! SHOULD YOU EVER NEED TO WIRE UP A CAR TRAILER SOCKET !


These are the connections for the " BLACK " 7 pin Socket.
AT THE BACK OF THE " BLACK " SOCKET EACH CONNECTION PIN IS NUMBERED FROM 1 TO 7.
TO WIRE THIS EXTEND WIRES FROM EACH OF THE CARS CORRESPONDING LIGHTS,
USE SNAP CONNECTORS TO MAKE THE JOINTS, AND THE SAME COLOURED WIRE ,
THEN CONNECT INTO THE CORRESPONDING TERMINAL AT THE BACK OF THE SOCKET.

NOTE : " THE TRAILER LIGHTS PLUG USESES THE SAME COLOUR CODE AND NUMBERING."

PIN No WIRE COLOUR TO
TRAILER LIGHT
1
YELLOW
TO
LEFT TURN INDICATOR
2
BLUE
TO
FOG LIGHTS
3
WHITE
TO
EARTH
4
GREEN
TO
RIGHT TURN INDICATOR
5
BROWN
TO
RIGHT TAIL LIGHT
6
RED
TO
STOP LIGHTS
7
BLACK
TO
LEFT TAIL LIGHT

TO WIRE UP THE " GREY " ACCESSORY SOCKET


BY WIRING UP THE " GREY " SOCKET YOU WILL BE ABLE TO CHARGE THE CARAVANS BATTERY
AND RUN ANY OF THE ONBOARD EQUIPEMENT WHILST YOU ARE TRAVELLING.

AT THE BACK OF THE " GREY " SOCKET THERE ARE 7 CONNECTIONS NUMBERED 1 TO 7,
FOLLOW THE WIRING DIAGRAM AS SET OUT BELOW. TO CONNECT INTO THE EXISTING CIRCUIT
USE SNAP CONNECTORS AND SEVEN CORE COLOURED CABLE TO EXTEND ALL SUPPLIES FROM
THE CARS POWER SUPPLY TO THE " GREY " SOCKET.

PIN No WIRE COLOUR TO
OUTPUT TO THE TRAILER
1
YELLOW
TO
SPARE
2
BLUE
TO
AUX/BATTERY CHARGE
3
WHITE
TO
EARTH
4
GREEN
TO
INTERNAL LIGHTS / WATER PUMP
5
BROWN
TO
SPARE
6
RED
TO
REFRIGERATOR
7
BLACK
TO
SPARE

THE NEXT DIAGRAM SHOWS THE 12 volt POWER SUPPLY END OF THE CIRCUIT.
IE. " FROM GREY SOCKET TERMINALS 1 TO 7 TO THE CARS POWER SUPPLY "

SUPPLY COMES FROM
WIRE COLOUR
GOES TO
GREY SOCKET TERMINALS
NOT USED
YELLOW
To Terminal 1
SPARE
FROM THE GREEN WIRE ON RELAY UNIT
BLUE
To Terminal 2
AUX/BATTERY CHARGE
MAKE TO EARTH
WHITE
To Terminal 3
EARTH
POSITIVE BATTERY TERMINAL
GREEN
To Terminal 4
INTERNAL LIGHTS / WATER PUMP
NOT USED
BROWN
To Terminal 5
SPARE
FROM THE BLUE WIRE ON RELAY UNIT
RED
To Terminal 6
REFRIGERATOR
NOT USED
BLACK
To Terminal 7
SPARE

CONNECTIONS TO AND FROM THE RELAY UNIT

SHORT BLUE WIRE TO NEGATIVE BATTERY TERMINAL
RELAY UNIT
LONG BLUE CONNECTS TO RED WIRE TO TERMINAL 6
FUSED RED WIRE TO POSITIVE BATTERY TERMINAL
RELAY UNIT
GREEN WIRE CONNECTS TO BLUE WIRE TO TERMINAL 2

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