When a barometer reads an atmospheric pressure as 734 mm of Hg, what is the pressure in N / m^2

step 1 The liquid pressure is given by the density of the liquid times the gravitational field strength

When a barometer reads an atmospheric pressure as 734 mm of...

When a barometer reads an atmospheric pressure as $734 \mathrm{~mm}$ of $\mathrm{Hg}$, what is the pressure in $\mathrm{N} / \mathrm{m}^{2} ?$ (The density of mercury is $13,600 \mathrm{~kg} / \mathrm{m}^{3} .$ )

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Key Concepts

Barometric Measurement

Barometric measurement involves using a column of fluid, such as mercury, to measure atmospheric pressure. The height of the fluid column in a barometer is directly proportional to the pressure of the atmosphere, making it a practical application of the hydrostatic pressure concept.

Unit Conversion

Unit conversion is essential in physics to ensure consistency across measurements, allowing calculations to be performed accurately using the International System of Units (SI). In problems involving measurements like length in millimeters or centimeters, converting these to meters is necessary for correct application in formulas such as P = ?gh.

Pressure

Pressure is defined as the force exerted per unit area and is measured in Pascals (N/m²), where 1 Pascal equals 1 Newton per square meter. It is a fundamental concept in physics used to quantify how forces are distributed over an area.

Hydrostatic Pressure

Hydrostatic pressure is the pressure exerted by a fluid at rest, which increases with depth due to the weight of the fluid above. It is calculated using the formula P = ?gh, where ? is the fluid density, g is the acceleration due to gravity, and h is the height of the fluid column.

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