Question

Assuming air velocities at the top and bottom of an airplane wing are 100 m/s and 80.0 m/s respectively, with air density as 1.00 kg/m³. What is the minimum area of the wing for the airplane to rise?

a) 20 m²
b) 25 m²
c) 30 m²
d) 35 m²

Answer 1

The minimum area of the wing for the airplane to rise is 10 m².

Step-by-step explanation:

To determine the minimum area of the wing for the airplane to rise, we need to consider the lift force generated by the wing. According to the rule of thumb, wings should produce about 1000 N of lift per square meter of wing. Given that the air density is 1.00 kg/m³, we can calculate the lift force using the formula:

Lift Force = Air Density * Area * Velocity²

At the top of the wing, the velocity is 100 m/s, and at the bottom, it is 80.0 m/s. Let's assume the minimum area of the wing is A. So, we have:

1000 N = 1.00 kg/m³ * A * (100 m/s)²

A = 10 m²

Therefore, the minimum area of the wing for the airplane to rise is 10 m².