ArticleslgStudy

science

Imperial and US customary measurement systems

Imperial and US customary measurement systems is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Imperial and US customary measurement systems rather than just read about it. In short: The imperial and US customary measurement systems are both derived from an earlier English system of measurement which in turn can be traced back to Ancient Roman units of measurement, and Carolingian and Saxon units of measure. The US Customary system of units was developed and used in the United States after the American Revolution, based on a subset of the English units used in the Thirteen Colonies.

Imperial and US customary measurement systems — main illustration
Imperial and US customary measurement systems — illustration

Key takeaways

  • Imperial and US customary measurement systems belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Imperial and US customary measurement systems to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Imperial and US customary measurement systems from memory before moving on to harder problems.

Reference excerpt

The imperial and US customary measurement systems are both derived from an earlier English system of measurement which in turn can be traced back to Ancient Roman units of measurement, and Carolingian and Saxon units of measure. The US Customary system of units was developed and used in the United States after the American Revolution, based on a subset of the English units used in the Thirteen Colonies. It is the predominant system of units in the United States and its territories, except for Puerto Rico and Guam, where the metric system was introduced under Spanish rule and remains prevalent. The imperial system of units was developed and used in the United Kingdom and its empire beginning in 1824. The metric system has, to varying degrees, replaced the imperial system in the countries that once used it. Most of the units of measure have been adapted in one way or another since the Norman Conquest (1066). The units of linear measure have changed the least – the yard (which replaced the ell) and the chain were measures derived in England. The foot used by craftsmen supplanted the longer foot used in agriculture. The agricultural foot was reduced to 10⁄11 of its former size, causing the rod, pole or perch to become 16+1⁄2 (rather than the older 15) agricultural feet. The furlong and the acre, once it became a measure of the size of a piece of land rather than its value, remained relatively unchanged. In the last thousand years, three principal pounds were used in England. The troy pound (5760 grains) was used for precious metals, the apothecaries' pound, (also 5760 grains) was used by pharmacists and the avoirdupois pound (7000 grains) was used for general purposes. The apothecaries and troy pounds are divided into 12 ounces (of 480 grains) while the avoirdupois pound has 16 ounces (of 437.5 grains). The unit of volume, the gallon, has different values in the United States and in the United Kingdom, with the US gallon being 83.26742% of the imperial gallon: the US gallon is based on the wine gallon used in England prior to 1826. There was a US dry gallon, which was 96.8939% of an imperial gallon (and exactly ⁠1+15121/92400⁠ of a US gallon), but this is no longer used and is no longer listed in the relevant statute. After the United States Declaration of Independence the units of measurement in the United States developed into what is now known as customary units. The United Kingdom overhauled its system of measurement in 1826, when it introduced the imperial system of units. This resulted in the two countries having different gallons. Later in the century, efforts were made to align the definition of the pound and the yard in the two countries by using copies of the standards adopted by the British Parliament in 1855. However, these standards were of poor quality compared with those produced for the Convention of the Metre. In 1960, the two countries agreed to common definitions of the yard and the pound based on definitions of the metre and the kilogram. This change, which amounted to a few parts per million, had little effect in the United Kingdom, but resulted in the United States having two slightly different systems of linear measure, the international system and the surveyors system, until the latter was deprecated in 2023.

English units of measure

English units of measure were derived from a combination of Roman, Carolingian and Saxon units of measure. They were a precursor to both the imperial system of units (first defined in 1824, to take effect in 1826) and United States customary units which evolved from English Units from 1776 onwards. The earliest records of English units of measure involve the weight (and therefore the value) of Saxon coins. The penny introduced by Offa was about 20 grains (1.296 g). Edward the Elder increased the weight of the English penny to 26 grains (1.685 g), thereby aligning it with the penny of Charlemagne. By the time of the Norman Conquest (1066), it had decreased to 24 grains (1.555 g). This value was subsequently called the pennyweight and formed the basis of the Troy units of weight—the troy ounce used to this day for weighting precious metals. Edward I (1272–1307) broke the link between a coin's value and its weight when he debased the English coinage by introducing a groat (four pence) which weighed of 89 grains rather than the expected 96 grains. The groat was further devalued in the 1350s when its weight was reduced to 72 grains.

During Saxon times land was measured both in terms of its economic value and in terms of its size. The Domesday Book used the hide, an economic unit of measure. In other references the furlong and the rood appear to be units related to ploughing procedures. Of particular interest was the rood which was 15 North German feet in length, the North German foot being equivalent to 335 mm (13.2 inches). Craftsmen, on the other hand used a shorter Roman foot.

… excerpt ends here. Continue reading the full article.

Illustrations

Imperial and US customary measurement systems: Cincinnati Customs House c. 1850–60Governments were one of the earliest users of weights and measures – often for the purpose of tax collection.  In the United States the US Treasury rather than Congress took the lead in establishing a standard system of weights and measures.
Cincinnati Customs House c. 1850–60Governments were one of the earliest users of weights and measures – often for the purpose of tax collection. In the United States the US Treasury rather than Congress took the lead in establishing a standard system of weights and measures.
Imperial and US customary measurement systems: Silver penny of Æthelstan (924–939) from which the name pennyweight (dwt) was derived
Silver penny of Æthelstan (924–939) from which the name pennyweight (dwt) was derived
Imperial and US customary measurement systems: Bronze wool weight of 14 lb (6.4 kg) (1550–1600) stamped with the Royal coat of arms (Victoria and Albert Museum)
Bronze wool weight of 14 lb (6.4 kg) (1550–1600) stamped with the Royal coat of arms (Victoria and Albert Museum)
Imperial and US customary measurement systems: The standard Troy pound, destroyed in a fire in 1834
The standard Troy pound, destroyed in a fire in 1834
Imperial and US customary measurement systems: Public copies of the standard yard and its subdivisions at Greenwich Observatory
Public copies of the standard yard and its subdivisions at Greenwich Observatory

Worked examples

Example 1 — a first encounter with Imperial and US customary measurement systems

Start with the simplest possible case. Write down what Imperial and US customary measurement systems claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Imperial and US customary measurement systems before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Imperial and US customary measurement systems ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Imperial and US customary measurement systems

In research
Imperial and US customary measurement systems appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Imperial and US customary measurement systems in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Imperial and US customary measurement systems is common in secondary-school and first-year university syllabi. It links to neighbouring topics Customary units of measurement, Customary units of measurement in the United States, Imperial units, so understanding it makes those chapters shorter.
In everyday life
Look for Imperial and US customary measurement systems outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Imperial and US customary measurement systems” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Imperial and US customary measurement systems in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Imperial and US customary measurement systems means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Imperial and US customary measurement systems out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Imperial and US customary measurement systems in simple terms?

The imperial and US customary measurement systems are both derived from an earlier English system of measurement which in turn can be traced back to Ancient Roman units of measurement, and Carolingian and Saxon units of measure. The US Customary system of units was developed and used in the United…

Why does Imperial and US customary measurement systems matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Imperial and US customary measurement systems?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Imperial and US customary measurement systems.

Tags

  • Customary units of measurement
  • Customary units of measurement in the United States
  • Imperial units
  • Units of measurement by country

Keep exploring