US Survey Feet (ft-us) to light-years (ly) conversion

What is the us survey foot?

What is US Survey Feet?

US Survey Feet is a unit of length used in the United States for land surveying. It is slightly different from the international foot. Understanding its origin and applications is crucial for accurate land measurements and legal descriptions.

Origin and Definition

The US Survey Foot (ftUS) is defined based on the Mendenhall Order of 1893, which related customary units to the metric system using the meter. At that time, it was defined as:

1 US Survey Foot = $\frac{3937}{1200}$ meters

This value equates to approximately 0.3048006096 meters. This differs slightly from the international foot which is exactly 0.3048 meters. The difference, while seemingly small (2 parts per million), can accumulate significantly over large distances, impacting land boundaries and area calculations.

The Issue & Readjustment

The difference between the international foot and the US survey foot caused discrepancies, especially in states that relied heavily on the Public Land Survey System (PLSS). Over time, states have addressed this issue in various ways:

• Many states have officially adopted the international foot for all new surveys.
• Some states continue to use the US Survey Foot. It's crucial to know which definition is in use for any particular survey or land description.
• Conversion factors are often provided in legal documents to clarify which foot is being used.

For more information about each state's definitions of feet, please read NOAA's definition of US Survey foot.

Usage and Real-World Examples

While its use is declining, the US Survey Foot is still relevant in some contexts, especially when dealing with older surveys and legal descriptions. Understanding its magnitude helps grasp spatial relationships:

• Property Boundaries: In states where it is still used, a land description stating a lot is 100 US Survey Feet wide means it is approximately 30.48006096 meters wide.
• Land Area Calculations: Area calculations, like acres, derived from measurements in US Survey Feet will differ slightly from those derived from international feet.
• Geographic Information Systems (GIS): GIS databases may contain data referenced to US Survey Feet, requiring proper transformation when integrating with data using the international foot.

Interesting Facts

• The slight difference between the two definitions of a foot has caused legal disputes related to property boundaries.
• The National Geodetic Survey (NGS) provides tools and resources for converting between the US Survey Foot and the international foot.

What is the light-year?

The light-year is a unit of distance used in astronomy, equal to the distance that light travels through a vacuum in one year. Despite the word "year," it measures length, not time.

Definition

One light-year is the product of the speed of light in vacuum and one Julian year (365.25 days):

$$1\ \text{ly} = 9.46073 \times 10¹⁵\ \text{m}$$

Using the exact speed of light (299,792,458 m/s) and the Julian year (31,557,600 s), the light-year equals exactly 9,460,730,472,580,800 metres, about 9.461 trillion kilometres or 63,241 astronomical units.

Origin and History

The concept became necessary in the 19th century once astronomers first measured stellar parallax and realized the vast distances to stars. Friedrich Bessel's 1838 determination of the distance to 61 Cygni made a light-based distance unit intuitive for popular and scientific communication.

Law and Notable Facts

The International Astronomical Union recommends the light-year based on the Julian year and the defined speed of light. Because light takes time to travel, looking far into space is looking into the past: distant galaxies are seen as they were billions of years ago.

Real-World Examples and Conversions

• The nearest star system, Proxima Centauri, lies about 4.25 light-years away.
• The Milky Way galaxy is roughly 100,000 light-years across.
• One light-year is about 63,241 astronomical units, or roughly 0.3066 parsecs.