chains (ch) to Fathoms (fathom) conversion

What is the chain?

The chain (ch) is a unit of length in the imperial and US customary systems, equal to 66 feet, traditionally used in surveying and land measurement.

Definition

One chain equals 66 feet, or 22 yards, or 4 rods.

$$1\ \text{ch} = 20.1168\ \text{m}$$

There are 80 chains in a mile and 10 square chains in an acre. This value uses the international foot; the US survey chain is larger by a factor of 1200/1199, giving about 20.11684 m.

Origin and History

The chain is named for Gunter's chain, a physical measuring device introduced by the English clergyman and mathematician Edmund Gunter around 1620. It consisted of 100 iron links totalling 66 feet, elegantly bridging the traditional (base-4/16.5) and decimal systems: distances could be recorded in decimal links yet still yield whole numbers of acres and miles. It became the standard tool of English and American surveyors for centuries.

Law and Notable Facts

The chain underpins the US Public Land Survey System, in which section lines and township grids were laid out in chains. A cricket pitch measures exactly one chain (22 yards) between the wickets—a lasting everyday trace of the unit. The chain is now largely obsolete outside historical land records and cricket.

Real-World Examples and Conversions

• A cricket pitch is 1 chain = 22 yards = 66 ft long.
• 1 chain = 100 links = 4 rods = 20.1168 m.
• 80 chains = 1 statute mile.
• An acre is 1 chain by 10 chains (10 square chains).

What is Fathoms?

Fathoms are a unit of length primarily used for measuring water depth. Understanding its origin and applications provides valuable context for maritime and historical studies.

Definition of Fathom

A fathom is a unit of length equal to six feet (approximately 1.8288 meters). It's primarily used in maritime contexts to measure the depth of water. The symbol for fathom is fm.

Origin and History

The term "fathom" originates from the Old English word "fæthm," which meant the distance between the fingertips of two outstretched arms. This roughly corresponds to six feet. Historically, it was a practical way for sailors to measure depth before sophisticated instruments were available.

How is a Fathom Formed?

The length of a fathom is based on the average span of a man's outstretched arms. While not precisely defined by any single individual's measurement, it represents a practical approximation.

$$1 \text{ fathom} = 6 \text{ feet} = 1.8288 \text{ meters}$$

Interesting Facts and Historical Significance

• Nautical Charts: Fathoms are commonly used on nautical charts to indicate water depth.
• Treasure Island: Robert Louis Stevenson's "Treasure Island" references fathoms in describing depths where treasure is buried.
• Submarines: Depth ratings for submarines are often expressed in feet, which can be easily converted to fathoms for quick reference.

Real-World Examples

• Sounding the Depth: In older nautical texts, you'll often read about "sounding the depth," where a weighted line marked in fathoms is dropped to the seabed to determine the water's depth.
• Modern Nautical Charts: Today's nautical charts use fathoms and feet to provide precise depth information for navigation. For example, a chart might indicate a depth of "10 fathoms 3 feet," meaning 63 feet.
• Titanic's Resting Place: The wreck of the Titanic lies at a depth of approximately 1,250 fathoms (around 12,500 feet).

Conversion Examples

• Fathoms to Feet: 5 fathoms = 5 * 6 feet = 30 feet
• Fathoms to Meters: 10 fathoms = 10 * 1.8288 meters = 18.288 meters
• Feet to Fathoms: 24 feet = 24 / 6 fathoms = 4 fathoms

Additional Resources

For a deeper dive into the history and usage of fathoms, consult the following resources:

• National Ocean Service (NOAA) - Provides information on nautical charts and depth measurements.
• Wikipedia - General information about Fathom.