Normal atmospheric pressure is 1.013 ×10^5 Pa. The approach of a storm causes the height of a me

step 1 Question number 17. The new pressure can be obtained from pressure atmospheric minus the hydrost

Normal atmospheric pressure is 1.013 ×10^5 Pa. The approach...

Normal atmospheric pressure is $1.013 \times 10^{5}$ Pa. The approach of a storm causes the height of a mercury barometer to drop by 20.0 $\mathrm{mm}$ from the normal height. What is the atmospheric pressure? (The density of mercury is $13.59 \mathrm{g} / \mathrm{cm}^{3} . )$

Key Concepts

Unit Conversion

Unit conversion is a critical concept in physics and engineering that involves converting measurements from one unit system to another to ensure consistency in calculations. Accurate conversion of units, such as converting density from g/cm³ to kg/m³ or lengths from millimeters to meters, is essential for correctly applying formulas in fluid mechanics.

Fluid Density

Fluid density refers to the mass per unit volume of a substance. In the context of fluid statics, knowing the density is crucial because it directly influences the hydrostatic pressure exerted by a column of fluid, as seen in applications such as barometric measurements.

Hydrostatic Pressure

Hydrostatic pressure is the pressure exerted by a fluid at rest due to the gravitational force acting on it. The relationship p = ?gh, where p is pressure, ? is density, g is gravitational acceleration, and h is the height of the fluid column, is central to understanding how pressure differences arise in fluids.

Mercury Barometer

A mercury barometer is an instrument used to measure atmospheric pressure by observing the height of a column of mercury. The height of the mercury column changes in response to variations in atmospheric pressure, providing a direct and historical method of pressure measurement.

Atmospheric Pressure

Atmospheric pressure is the force per unit area exerted by the weight of the atmosphere. It is a fundamental concept in fluid mechanics and meteorology, affecting weather patterns, breathing conditions at different altitudes, and is measured in units such as Pascals or atmospheres.

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