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FORMULA SHELF 15 of 370

The arithmetic behind the work: what to measure, what to type in, and what the answer comes out as. Every formula says what the symbols mean and gives a worked example, so you can check it against a job you have already done.

Quick calculators. A calculator appears where the formula is a single, clean equation with clear symbols. It is a convenience, not an authority: double-check every result yourself, especially doses, loads, torque and safety-critical settings.
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Kitchen 3 formulas

Jam setting point MOST USED
set at 65-68 C, or 104-105 C at sea level ; 1% more sugar or a 2% drop in pectin needs about 5-8 C less heat
SYMBOLS · the wrinkle test: put a cold saucer in the pan, drip some syrup on it and it should wrinkle when you push it with a finger
UNITS · degrees C, %
HOW TO USE

A boiling thermometer is worth the money. Overcook the jam and it goes tough, undercook it and it runs. See Jam Jelly And Preserves.

EXAMPLE

Add 1% extra sugar and the set comes at about 62 C instead of 65 C.

jam setting temperature pectin sugar
How long food keeps
chilled at 0-5 C, frozen at -18 C, and every month frozen loses about 5% of its quality
SYMBOLS · 0-5 C is a domestic fridge, -18 C is a domestic freezer; cool cooked food from 60 C to 20 C within 2 hours and to 5 C within 4 hours
UNITS · time
HOW TO USE

The rules that decide what goes in the freezer. Label everything with the date and what it is.

EXAMPLE

A joint frozen for 12 months is still good, but it has lost its water and is better as a stew.

storage freezer chill shelf life label
Nixtamal for maize tortillas
maize to lime water: 1 kg of maize per litre of water with 15-20 g of lime, soaked 12-16 hours
SYMBOLS · the nixtamal is the ground maize, and it goes stale quickly, so make it the same day
UNITS · ratio
HOW TO USE

Lime makes the maize release its niacin, which is the whole point of treating it. See Flint Corn And Popcorn.

EXAMPLE

1 kg of maize and 1 L of water with 15 g of lime makes about 1.1 kg of nixtamal.

nixtamal maize tortilla lime niacin

Agronomy 3 formulas

Compost carbon to nitrogen ratio
C:N ratio = kg of carbon / kg of nitrogen
SYMBOLS · aim for 25:1 to 30:1 in the heap; fresh manure is about 20:1, straw about 80:1, spent mushroom compost about 12:1
UNITS · ratio
HOW TO USE

The rule that makes a heap work. Too much carbon and it sits there for a year; too little nitrogen and it goes sour and smells. See Compost Heap.

EXAMPLE

A heap of 100 kg straw at 80:1 needs about 2 kg of nitrogen, which is 4.5 kg of urea.

compost carbon nitrogen heap manure
Drying grain: air and heat
moisture to remove (kg/ha) = (harvest moisture % - target moisture %) x grain weight (kg/ha) / 100
SYMBOLS · a drying fan moves roughly 15-25 m3 of air per second per kilowatt of heat; do not raise the air temperature more than 5 degrees C above the incoming air
UNITS · kg of water, m3/s of air
HOW TO USE

Grain dried too fast or too hot goes cracked, and the cracks cost you in the mill. See Storing Grain.

EXAMPLE

Wheat at 22% harvested to 15% stored, 8 t/ha: (22 - 15) x 8,000 / 100 = 560 kg of water a hectare.

drying moisture air fan grain
Seeds per metre of row
seeds per metre = (seed rate in kg/ha x 1,000) / (seeds per kg x row spacing in m)
SYMBOLS · seeds per kg is the label figure; row spacing in metres
UNITS · seeds/m
HOW TO USE

The setting that goes on the drill. Work it out from the seed rate, then check it over a measured 10 m and count.

EXAMPLE

60 kg/ha of maize, 7,700 seeds/kg, rows 0.75 m apart = 104 seeds a metre.

drill seeds per metre maize setting

Livestock 3 formulas

Average daily gain MOST USED
ADG (kg/day) = (final weight - starting weight) / days on feed
SYMBOLS · use actual liveweight gains, not estimated ones
UNITS · kg/day
HOW TO USE

The single number that tells you if a ration or a system is working. Weigh the animals, do it again in 30 days, and divide.

EXAMPLE

A lamb goes from 30 kg to 42 kg in 60 days = 0.2 kg/day.

gain adg growth weigh performance
Calving interval
calving interval (days) = date of this calving - date of the last calving
SYMBOLS · the target is 365 days; every extra day is a lost day of milk and a heavier cow at the next calving
UNITS · days
HOW TO USE

Measure it, and aim to get it under 380. A long interval usually means the cow is losing condition before the bull goes in.

EXAMPLE

Calved 15 March and 20 March the next year = 370 days.

calving interval reproduction fertility cow
Withdrawal period and milk and meat
withdrawal time (days) = date of last treatment + withdrawal period
SYMBOLS · the withdrawal period is on the label and on the vet's card; it can be 3 to 60 days, and it applies to milk and meat separately
UNITS · days
HOW TO USE

Write the treatment date and the withdrawal date on the animal or in the book, and check the milk before it goes in the tank. See Vaccinating And Cold Chain.

EXAMPLE

Treated on 1 June with a 14-day withdrawal: nothing in the tank before 15 June.

withdrawal medicine milk meat veterinary

Growing 1 formulas

Planting out after the last frost
planting date = average last frost date - 2 to 3 weeks of hardening off
SYMBOLS · hardening off means a week at 2 hours outside, then 4, then 8, then all day
UNITS · days
HOW TO USE

A plant that goes out too early loses a fortnight. Harden it off properly and it will lose a week of growth instead of a month of plants.

EXAMPLE

Last frost 15 May: plant out the tomatoes from 27 May.

frost planting out hardening tomatoes date

Workshop 3 formulas

Bend allowance for sheet metal
BA (mm) = 1.57 x R (mm) x angle (degrees) / 90 for steel ; for aluminium use 1.52
SYMBOLS · BA = the length of metal needed for the bend; R = the inside radius of the bend
UNITS · mm
HOW TO USE

Measure from the edge of the hole to the edge of the flange, not to where you think the bend goes. Add the allowance to the flat length before cutting.

EXAMPLE

A 10 mm radius bend at 90 degrees in steel: 1.57 x 10 = 15.7 mm of extra metal.

sheet metal bend allowance flange brake
Ground fall and drainage falls
fall % = (rise / run) x 100 ; a 1 in 80 floor falls 12.5 mm a metre
SYMBOLS · 1 in 60 to 1 in 100 for a yard or a path; 1 in 40 to 1 in 60 for a yard slope; floors are level, the water goes to the drain
UNITS · %
HOW TO USE

Water on a level yard is water that never leaves. Get the fall right with a laser level or a long spirit level and a pegged board. See Underground Pipe And Trenches.

EXAMPLE

A 20 m yard falling 1 in 80 drops 250 mm from end to end.

fall slope drainage level yard
Waiting time before loading concrete
no loading for 24-48 hours ; full strength at 28 days
SYMBOLS · walk on it after 24-48 hours, put a weight on at 7 days, full strength at 28
UNITS · hours, days
HOW TO USE

Concrete gains most of its strength in the first week. Keep it damp for the first three days and cover it if it is hot or frosty.

EXAMPLE

A gate post in concrete should stand for 48 hours before the gate goes on.

concrete curing time strength footing

Chemistry 1 formulas

Boyle's, Charles's and Gay-Lussac's laws
Boyle: P x V = constant ; Charles: V / T = constant ; Gay-Lussac: P / T = constant
SYMBOLS · T must be in kelvin (C + 273)
UNITS · varies
HOW TO USE

Each one holds the other two constant. A cold bottle warms in the sun and the pressure goes up, which is why a bottle left in a hot shed can go off.

EXAMPLE

Gas at 10 C in a bottle warms to 30 C and its pressure rises by about 7%.

gas boyle charles pressure temperature

Advanced maths 1 formulas

Inverse proportion
y = k / x
SYMBOLS · k = constant
UNITS · number
HOW TO USE

When one goes up and the other goes down: speed and time, men and days, pressure and volume.

EXAMPLE

Two pumps fill in 6 hours, four pumps in 3 hours.

proportion inverse rate
SOURCES & PROVENANCE 1 listed

This page is an AI-organised index. The label means the grouping and cross-links were compiled with AI; the information itself comes from the public-domain books, reports and manuals listed below. Open any source to read the local copy or follow the link to the original publication.

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