Slugs (slug) to Stones (st) conversion

What is the Slug?

The slug is the unit of mass in the British Gravitational (foot–pound–second) system of units, used chiefly in engineering and physics involving imperial units.

Definition

The slug is the mass that accelerates at 1 foot per second squared when a force of one pound-force is applied:

$$1\ \text{slug} = 14.5939\ \text{kg}$$

It follows from $1\ \text{slug} = 1\ \text{lbf} \cdot \text{s}^2/\text{ft}$, giving exactly 14.593902937206 kg. A one-slug mass therefore weighs about 32.174 pounds-force under standard gravity.

Origin and History

The slug was introduced in the early 20th century to give the imperial system a coherent mass unit consistent with Newton's second law, avoiding confusion between the pound as a unit of mass and the pound-force as a unit of force. The name was popularized by British physicist Arthur Mason Worthington.

Law and Notable Facts

The slug is not part of SI but remains in use in some U.S. and British engineering fields, especially aeronautics and ballistics. Its counterpart is the "slinch" (pound·s²/inch), which is exactly 12 times larger.

Real-World Examples and Conversions

An object weighing 32.174 lbf at standard gravity has a mass of exactly 1 slug (≈14.59 kg). A 160-pound person has a mass of roughly 4.97 slugs. One slug is close to the mass of a typical bowling-ball-and-a-half, about 14.6 kg.

What is the stone?

What is Stones?

Stones (abbreviated as "st") are a unit of mass primarily used in the United Kingdom and Ireland for measuring human body weight. One stone is equivalent to 14 pounds (lbs) or approximately 6.35 kilograms (kg). While officially deprecated for most purposes, it remains common in everyday conversation for expressing weight.

Historical Context and Formation

• Origin: The term "stone" originates from the practice of using stones as weights for measurement, a practice dating back to ancient times. The specific weight of a "stone" varied considerably across different regions and commodities for centuries.
• Standardization: The standardization of the stone to 14 pounds was formalized in the UK Weights and Measures Act of 1835. This act helped establish uniformity in trade and measurement.
• Why 14 pounds? The origin of 14 lbs is debated, some suggest it was a convenient amount for a man to carry while others trace it back to Roman times.

Mathematical Relationship

The relationship between stones, pounds, and kilograms can be expressed as follows:

• 1 stone (st) = 14 pounds (lbs)
• 1 pound (lb) ≈ 0.0714286 stones (st)
• 1 stone (st) ≈ 6.35029 kilograms (kg)
• 1 kilogram (kg) ≈ 0.157473 stones (st)

Conversion formulas:

• To convert pounds to stones:

  $$\text{Stones} = \frac{\text{Pounds}}{14}$$

• To convert kilograms to stones:

  $$\text{Stones} = \frac{\text{Kilograms}}{6.35029}$$

Usage and Examples

The primary application of stones is for expressing human body weight in the UK and Ireland. Here are some examples:

• "He weighs 12 stone 6" (meaning 12 stones and 6 pounds).
• A person might say, "I've lost half a stone" (meaning they've lost 7 pounds).

While not commonly used for other quantities, theoretically, one could express the weight of other items in stones. For example:

• A bag of potatoes weighing 28 pounds could be described as weighing 2 stones.
• A small dog weighing 35 pounds could be said to weigh 2.5 stones.

It is important to note that stones are generally not used for measuring anything other than human body weight in everyday conversation.

Interesting Facts

• Decimal Stones: While less common, there is a decimal stone, where the pound is divided decimally to give a fraction of a stone.
• Other Commodities: Historically, different regions used "stones" to measure varying weights of other commodities, like wool, but the 14-pound stone is now the standard.

Associated Figures

There isn't a specific law or person fundamentally linked to the stone besides its formalization in the Weights and Measures Act. However, due to its use in reporting body weight, health professionals in the UK and Ireland are familiar with this unit.