Centimeters (cm) to US Survey Feet (ft-us) conversion

What is centimeters?

Here's information about centimeters, suitable for inclusion on your website.

What is Centimeters?

Centimeters (cm) are a unit of length in the metric system. They are commonly used for everyday measurements and technical applications alike. Understanding their relationship to other units and their practical applications is key.

Centimeter Definition and Formation

A centimeter is defined as one-hundredth of a meter. The prefix "centi-" indicates a factor of $10^{-2}$. Therefore:

$1 \text{ cm} = \frac{1}{100} \text{ m} = 0.01 \text{ m}$

The metric system, including centimeters, originated in France during the French Revolution in the late 18th century, aiming for a standardized and rational system of measurement.

Relationship to Other Units

Here's how centimeters relate to some other common units of length:

• Millimeter (mm): 1 cm = 10 mm
• Meter (m): 1 m = 100 cm
• Inch (in): 1 in = 2.54 cm (exactly)
• Foot (ft): 1 ft = 30.48 cm (exactly)

Common Uses and Examples

Centimeters are used in a variety of contexts:

• Clothing: Measuring body dimensions (e.g., waist, inseam) for clothing sizes.
• Construction: Measuring lengths of building materials, room dimensions.
• Electronics: Specifying the size of electronic components or device dimensions.
• Maps: Indicating scale on maps, representing distances on the ground. For example, a map might have a scale where 1 cm represents 1 kilometer.
• Everyday objects: The width of a standard pen is approximately 1 cm. A credit card is roughly 8.5 cm long and 5.4 cm wide.
• Medical field: Wound measurement and monitoring of growth.

Notable Associations

While no specific law is named after the centimeter, its importance stems from its place within the widely adopted metric system. The metric system's adoption has been a key factor in scientific progress, enabling standardized communication and calculations. The International System of Units (SI), which defines the meter and therefore the centimeter, is maintained by the International Bureau of Weights and Measures (BIPM).

What is us survey feet?

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.