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## Miscellaneous Factors and Formulae

This is a page of other conversion factors and formulae which might be useful when working on many projects, eg. temperature, currency (up-to-date), pressure - plus a few curiosities.

The calculator below can be dragged around with your mouse for working out the conversion. It only does one operation at a time so for chain calculations clear the result and re-enter for next stage.

Use these links to other pages of conversion factors.

LengthAreaVolumeMass

## Currency Conversion

Click here to access a

Currency Converter

Up-to-date exchange rates of 164 Worldwide currencies## Temperature Conversion

Degrees Fahrenheit °F to Degrees Centigrade C (Celsius °C)

C = (°F - 32) x 0.56Degrees Centigrade C (Celsius °C) to Degrees Fahrenheit °F

°F = (C x 1.8) + 32These two factors can be more easily remembered as five ninths (0.56) and nine fifths (1.8) respectively.

Try here to find out about our local weather.

When working with heating systems the output of a boiler can be given in Kilowatts (KW) or British Thermal Units (BTU), the conversion rate is 1KW = 3,412BTUs

There are four different ways that oven temperatures may be given in recipe books or marked on the controls.

Fahrenheit °F Gas Mark Centigrade C Very Slow 240 - 280 ¼ - ½ 115 - 135 Slow 280 - 320 1 135 - 160 Warm 320 - 340 3 160 - 170 Moderate 340 - 370 4 170 - 185 Fairly Hot 370 - 400 5 - 6 185 - 205 Hot 400 - 440 7 205 - 225 Very Hot 440 - 480 8 - 9 225 - 250 ## Pressure

fromtomultiply byPounds-force per sq. inch (psi,lb/inch ^{2)}Kilograms-force per square centimetre (kg/ cm ^{2})0.070307 Kilograms-force per square centimetre (kg/ cm ^{2})Pounds-force per sq. inch (psi,lb/inch ^{2)}14.2233 Pounds-force per sq. inch (psi,lb/inch ^{2)}Atmospheres (atm) 0.068 Atmospheres (atm) Pounds-force per sq. inch (psi,lb/inch ^{2)}14.696 Pounds-force per sq. inch (psi,lb/inch ^{2)}Bars 0.069 Bars Pounds-force per sq. inch (psi,lb/inch ^{2)}14.5038 Pounds-force per sq. inch (psi,lb/inch ^{2)}Millibar (mbar) 68.947 Millibar (mbar) Pounds-force per sq. inch (psi,lb/inch ^{2)}0.0145 Millibar (mbar) Millimetres of mercury (mmHg) 0.75 Millimetres of mercury (mmHg) Millibar (mbar) 1.333 Millibar (mbar) Inches of water (inH _{2}O)0.535 Inches of water (inH _{2}O)Millibar (mbar) 1.868 Inches of water (inH _{2}O)Pounds-force per sq. inch (psi,lb/inch ^{2)}0.036 Pounds-force per sq. inch (psi,lb/inch ^{2)}Inches of water (inH _{2}O)27.68 ## Speed

1 mph = 1.60934 km/h

1 km/h =0.621371 mph## Fuel Consumption

10 mpg = 28.25 litres/100 km

50 mpg = 5.65 litres/100 km## Power

An early definition of one Horsepower was the raising of 33,000 pounds at a rate of 1 foot per minute. This was an arbitrary figure chosen by James Watt to promote his steam engines. He carried out research which determined that on average a horse could raise about 22,000 pounds at 1 foot per minute. So he added one third and produced an engine that could raise 33,000 pounds at this rate to impress his potential customers and said that it was equal to what one horse could do. Afterwards it was accepted that defining the power of an engine would use the 33,000 figure.

The definition of one horsepower (hp.) as a unit of work is:-

550 foot-pounds per second (F.P.S.) = 745.7 Watts (W) or approximately ¾ of a kilowatt.To convert Watts to Horsepower multiply by 0.0013Horsepower to Watts multiply by 745.7## Useful Formulae

Symbols used or Pi = 3.14216

d = diameter

r = radius = ½ the diameter

h = heightCircumference of a circle = x the diameter(d).

Area of a circle = x the radius x the radius(r).

3.1416 x r^{2}Area of a triangle = ½ the height x length of base.

Surface area of cone = slant height x ½ circumference of base.

h xx d

2Curved surface area of cylinder = circumference x height

x d x hTotal surface area of a cylinder = 2 x area of base + area of curved surface.

2( x r^{2}) + x d x hSurface area of sphere = 4 x x radius squared.

4 x 3.1416 x r^{2}Volume of a sphere = 4 x x radius x radius x radius divided by 3

4 x 3.1416 x r^{3}

3Volume of a cone = 3.1416 x radius squared x height(h) divided by 3.

3.1416 x r^{2}x h

3Volume of a pyramid = area of the base x height divided by 3.

## To make a set square

Use the 3, 4, 5 principal (from the Pythagoras Theorem), as a triangle made to these proportions will always have a 90° angle between the two shorter sides, ie. make a triangle from strips of timber 60cm, 80cm and 100cm (or any multiple of 3,4 and 5). Cut the timber slightly longer, placing the fixing screw or nail in the centre at the exact measurement - trim off the protruding overlaps to leave flush corners.

## Golden Ratio

The Golden Ratio is a number which has been known since ancient times and has great significance in art, architecture and many other fields of study. It has a number of other names - Golden Mean, Golden Number, Golden Proportion, Golden Rule, Golden Section, Devine Proportion. It is usually represented by the Greek letter phi or with the value 1.61803398874984..... which is an irrational number. This means that when it is calculated the number of digits after the decimal point are infinite and do not repeat.

The ratio is usually quoted as 1.618:1 and can be found throughout nature, eg. the spirals in shells. It is said to show why we find things asthetic or pleasing to the eye. For example if you compare the proportions of parts of the body they have the relationship 1.618:1. It is thought that Leorardo da Vinci used it to define the features of the Mona Lisa and this is why she has such a captivating face.

In geometry the Golden Rectangle has sides to this proportion and if a square of the shorter side is removed the remaining rectangle has the same proportionsad infinitum. When designing we often create shapes and toy with them until they 'look right'. If the proportions are measured they usually comply to the Golden Ratio. Is it a coincidence that even credit cards are made the this proportion?

The rectangle and ellipse are drawn to the Golden Proportion.

The Pulse Rate at Different Ages

Age Beats per minute Newly born 130 to 140 1st year 115 to 130 2nd year 100 to 115 3rd year 95 to 105 7 to 14 80 to 90 14 to 21 75 to 85 21 to 60 70 to 75 over 60 75 to 85

To determine someones age.- something of a performance trick. Get the other person to work out the calculations and give the result.

Start with month of birth eg. August 8 Multiply by 2 16 Add 5 21 Multiply by 50 1050 Add their age eg. 20 1070 Subtract 365 705 Add 115 820The resulting figure gives the month of birth and the age, ieBelow age 10 the result has a zero in the middle which should be ignored, over 99 the trick doesn't work, but would you ask someone of that age?!and820

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