Use Bernoulli's equation to estimate the upward force on an...

Use Bernoulli's equation to estimate the upward force on an airplane's wing if the average flow speed of air is $190 \mathrm{m} / \mathrm{s}$ above the wing and $160 \mathrm{m} / \mathrm{s}$ below the wing. The density of the air is $1.3 \mathrm{kg} / \mathrm{m}^{3}$ and the area of each wing surface is $28 \mathrm{m}^{2}$

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Key Concepts

Bernoulli's Equation

This principle in fluid dynamics relates the pressure, velocity, and elevation in a flowing fluid, asserting that an increase in a fluid's speed occurs simultaneously with a decrease in pressure or potential energy. It underpins the analysis of airflow over surfaces, such as airplane wings.

Pressure Difference

Derived from Bernoulli’s equation, the pressure difference between two regions of a fluid flow is crucial for understanding forces in aerodynamics. Variations in velocity create differences in pressure, which can result in net forces acting on surfaces immersed in the flow.

Lift Force Calculation

The lift force on an aerodynamic surface, like a wing, is calculated by multiplying the pressure difference by the area over which it acts. This provides an estimate of the upward force that supports the weight of an aircraft, making it a central concept in the design and analysis of flight.

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