technical atmospheres (at) to millibar (mbar) conversion

What is the technical atmosphere?

The technical atmosphere (at) is a non-SI unit of pressure equal to one kilogram-force per square centimeter. It was widely used in engineering, especially in Europe, before the pascal became standard.

Definition

The technical atmosphere is defined as the pressure of one kilogram-force acting on one square centimeter:

$$1\ \text{at} = 98066.5\ \text{Pa}$$

This equals exactly 1 kgf/cm² (98,066.5 Pa), because standard gravity is 9.80665 m/s². It is close to, but distinct from, the standard atmosphere (atm = 101,325 Pa) and the bar (100,000 Pa).

Origin and History

The technical atmosphere arose from the gravitational metric system of units, which used the kilogram-force rather than the newton. Expressing pressure as kilogram-force per square centimeter was intuitive for engineers weighing loads, and the unit became common in mechanical and hydraulic engineering, boilers, and pneumatics through much of the 20th century.

Law and Notable Facts

The technical atmosphere is not part of the SI and its use is discouraged in favor of the pascal or bar. It is easily confused with the standard atmosphere; the two differ by about 3.3%. Gauge and absolute variants were often written "atü" (gauge) and "ata" (absolute) in German-language engineering.

Real-World Examples and Conversions

• 1 at = 1 kgf/cm² = 98.0665 kPa ≈ 0.9678 atm.
• 1 at ≈ 14.223 psi, close to but slightly below the 14.696 psi of one standard atmosphere.
• A pressure of 10 at (about 981 kPa) is a common rating benchmark for industrial hydraulic components.
• 1 at ≈ 0.980665 bar, so the bar and technical atmosphere differ by under 2%.

What is millibar?

The millibar (mbar) is a unit of pressure commonly used in meteorology to measure atmospheric pressure. Understanding millibars helps in interpreting weather patterns and forecasts. Below is an overview of millibars, their relation to other units, and their significance.

Definition of Millibar

A millibar is defined as 100 Pascals (Pa), where a Pascal is the SI unit of pressure (force per unit area). The prefix "milli-" indicates one-thousandth, so:

$$1 \text{ mbar} = 100 \text{ Pa} = 1 \text{ hPa}$$

Another unit of pressure is standard atmosphere (atm)

$$1 \text{ atm} = 1013.25 \text{ mbar}$$

Formation and History

The term "bar" comes from the Greek word "báros," meaning weight. The bar was introduced by the British physicist Napier Shaw in 1909, and the millibar soon followed as a more practical unit for meteorology because typical atmospheric pressures on Earth are close to 1000 mbar.

Relation to Other Units

• Pascal (Pa): The SI unit of pressure. $1 \text{ mbar} = 100 \text{ Pa}$.
• Hectopascal (hPa): $1 \text{ hPa} = 1 \text{ mbar}$. Hectopascals are numerically equivalent to millibars and are commonly used in aviation.
• Atmosphere (atm): Standard atmospheric pressure at sea level is approximately $1013.25 \text{ mbar}$.
• Inches of Mercury (inHg): Commonly used in aviation in the United States. $1 \text{ mbar} \approx 0.02953 \text{ inHg}$.

Significance in Meteorology

Atmospheric pressure is a critical factor in weather forecasting. Here's how millibars are used:

• Weather Maps: Isobars (lines of equal pressure) on weather maps are often labeled in millibars, showing high and low-pressure systems.
• High-Pressure Systems: Associated with stable weather conditions, typically ranging from 1015 mbar to 1035 mbar or higher.
• Low-Pressure Systems: Associated with unsettled weather, such as storms and rain, typically ranging from 980 mbar to 1000 mbar or lower.
• Storm Intensity: The central pressure of a hurricane or cyclone is measured in millibars; lower pressures indicate stronger storms. For example, Hurricane Wilma in 2005 had a record low central pressure of 882 mbar.
• Aviation: Altitude is determined by measuring atmospheric pressure

Real-World Examples

• Standard Sea Level Pressure: The standard atmospheric pressure at sea level is approximately $1013.25 \text{ mbar}$.
• Hurricane Central Pressure: Intense hurricanes can have central pressures below $950 \text{ mbar}$. For example, Hurricane Katrina (2005) had a minimum central pressure of around $902 \text{ mbar}$.
• Mount Everest Summit Pressure: The atmospheric pressure at the summit of Mount Everest is roughly $330 \text{ mbar}$.
• Typical House Pressure: The pressure inside buildings is near $1013.25 \text{ mbar}$.

Interesting Facts and Associations

• Torricelli's Experiment: Evangelista Torricelli, an Italian physicist, invented the barometer in the 17th century, paving the way for accurate pressure measurement. Though he didn't use millibars (as the unit wasn't invented yet), his work laid the foundation for understanding atmospheric pressure. Learn more at Britannica.
• Beaufort Scale: While the Beaufort scale primarily measures wind speed, it indirectly relates to pressure gradients. Steeper pressure gradients (indicated by closely spaced isobars) typically result in stronger winds. More information is on the National Weather Service.