Question

An airplane flies on a level path. There is a pressure difference of 587 Pa between the lower and upper surfaces of the wings. The area of each wing surface is about 100 m2. The air moves below the wings at a speed of 80.5 m/s. Estimate the weight of the plane.

Answer 1

ANSWER:

117400 N

STEP-BY-STEP EXPLANATION:

Given:

Pressure difference = 587 Pa

Surface area of the wing = 100 m^2

Speed of the sir below the wing = 80.5 m/s

The weight of the plane is the force due to the pressure difference of upper and lower side of both wings. Therefore:

$\begin{gathered} F=\Delta P\cdot2A \\ F=587\cdot2\cdot100 \\ F=117400\text{ N} \end{gathered}$

The weight is a force of 117400 N.