Tons (t) to Slugs (slug) conversion

What is Tons?

Tons are a unit of mass, primarily used for measuring heavy objects. However, there are different types of tons, each with a slightly different weight. The most common are the metric ton, the short ton (or US ton), and the long ton (or UK ton). This document aims to give more insights for each of the ton measure.

Types of Tons

• Metric Ton (tonne): The metric ton, also known as a tonne, is defined as 1,000 kilograms.
• Short Ton (US Ton): The short ton, or US ton, is defined as 2,000 pounds.
• Long Ton (UK Ton or Imperial Ton): The long ton, also known as the UK ton or imperial ton, is defined as 2,240 pounds.

Conversion Between Tons

Here's how to convert between the different types of tons:

• 1 metric ton = 1,000 kg ≈ 2,204.62 lbs ≈ 1.102 short tons ≈ 0.984 long tons
• 1 short ton = 2,000 lbs ≈ 907.185 kg ≈ 0.907 metric tons ≈ 0.893 long tons
• 1 long ton = 2,240 lbs ≈ 1,016.05 kg ≈ 1.016 metric tons ≈ 1.12 short tons

$$1 \text{ metric ton } = 1000 \text{ kg}$$

$$1 \text{ short ton } = 2000 \text{ lbs}$$

$$1 \text{ long ton } = 2240 \text{ lbs}$$

Origin and History

The term "ton" has its roots in the Old English word "tun," which referred to a large cask or barrel. Over time, it evolved to represent a unit of weight based on the capacity of such a barrel, typically used for wine or other goods. The different types of tons arose due to variations in measurement systems between countries and industries.

Real-World Examples

• Shipping: Cargo ships often measure their carrying capacity in metric tons.
• Mining: The extraction and trade of ores, like iron ore, are frequently quantified in metric tons.
• Construction: Materials like concrete and steel are often ordered and priced by the ton.
• Agriculture: Crop yields, such as wheat or corn, can be measured in tons, especially on a large scale.
• Waste Management: Municipal waste and recycling amounts are often reported in tons.

Interesting Facts

• The metric ton is part of the International System of Units (SI).
• The term "tonnage" is often used in the shipping industry to refer to a vessel's cargo-carrying capacity, although it doesn't always directly correspond to weight in tons. Instead, it can relate to volume or other measures.
• The abbreviation for metric ton is "t," while short ton is often abbreviated as "ST" and long ton as "LT" to avoid confusion.

Notable Associations

While no specific law or person is directly associated with the ton as a unit of measurement, its use is deeply embedded in various industries and regulations related to trade, transportation, and commerce. For example, international trade agreements often specify quantities of goods in metric tons.

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.