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Pound-foot

Pound-foot 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 Pound-foot rather than just read about it. In short: A pound-foot (lb⋅ft), abbreviated from pound-force foot (lbf · ft), is a unit of torque representing one pound of force acting at a perpendicular distance of one foot from a pivot point. Conversely one foot pound-force (ft · lbf) is the moment about an axis that applies one pound-force at a radius of one foot.

Pound-foot — main illustration
Pound-foot — illustration

Key takeaways

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

Reference excerpt

A pound-foot (lb⋅ft), abbreviated from pound-force foot (lbf · ft), is a unit of torque representing one pound of force acting at a perpendicular distance of one foot from a pivot point. Conversely one foot pound-force (ft · lbf) is the moment about an axis that applies one pound-force at a radius of one foot.

Unit The value in Système International (SI) units is given by multiplying the following exact factors:

This gives the exact conversion factor,

The name "pound-foot", intended to minimize confusion with the foot-pound as a unit of work, was apparently first proposed by British physicist Arthur Mason Worthington. Despite this, in practice torque units are commonly called the foot-pound (denoted as either lb-ft or ft-lb) or the inch-pound (denoted as in-lb). Practitioners depend on context and the hyphenated abbreviations to know that these refer to neither energy nor moment of mass (as the symbol ft-lb rather than lbf-ft would imply). Similarly, a pound-inch (or inch-pound) is the torque of one pound of force applied to one inch of distance from the pivot, and is equal to 1⁄12 lbf⋅ft (0.1129848 N⋅m). It is commonly used on torque wrenches and torque screwdrivers for setting specific fastener tension. An ounce-inch (or inch-ounce) is a smaller unit, equal to 1⁄16 of a pound-inch, or 0.7062 newton-centimetres (7.062 millinewton-metres).

See also Kilogram metre (torque) (kgf⋅m)

References

Illustrations

Pound-foot illustration

Worked examples

Example 1 — a first encounter with Pound-foot

Start with the simplest possible case. Write down what Pound-foot 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 Pound-foot 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 Pound-foot 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 Pound-foot

In research
Pound-foot 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 Pound-foot 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
Pound-foot is common in secondary-school and first-year university syllabi. It links to neighbouring topics Customary units of measurement in the United States, Imperial units, Units of torque, so understanding it makes those chapters shorter.
In everyday life
Look for Pound-foot 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.
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How to study Pound-foot in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Pound-foot 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 Pound-foot out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Pound-foot in simple terms?

A pound-foot (lb⋅ft), abbreviated from pound-force foot (lbf · ft), is a unit of torque representing one pound of force acting at a perpendicular distance of one foot from a pivot point. Conversely one foot pound-force (ft · lbf) is the moment about an axis that applies one pound-force at a radius…

Why does Pound-foot 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 Pound-foot?

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 Pound-foot.

Tags

  • Customary units of measurement in the United States
  • Imperial units
  • Units of torque

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