Lift Given Induced Drag Calculator

Lift Given Induced Drag Formula:

\[ Lift Force = \sqrt{Induced Drag \times 3.14 \times Dynamic Pressure \times Lateral Plane Span^2} \] \[ F_L = \sqrt{D_i \times 3.14 \times q \times b_W^2} \]

Lift Force (FL):

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1. What is Lift Given Induced Drag?

Lift force is the component of the total force acting on a body that is perpendicular to the direction of the fluid flow. This calculator determines lift force based on induced drag, dynamic pressure, and lateral plane span.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F_L = \sqrt{D_i \times 3.14 \times q \times b_W^2} \]

Where:

\( F_L \) — Lift Force (Newton)
\( D_i \) — Induced Drag (Newton)
\( q \) — Dynamic Pressure (Pascal)
\( b_W \) — Lateral Plane Span (Meter)

Explanation: The formula calculates lift force by considering the relationship between induced drag, dynamic pressure, and the square of lateral plane span.

3. Importance of Lift Force Calculation

Details: Accurate lift force calculation is crucial for aircraft design, performance analysis, and ensuring flight stability and efficiency.

4. Using the Calculator

Tips: Enter induced drag in Newtons, dynamic pressure in Pascals, and lateral plane span in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is induced drag?
A: Induced drag is primarily caused by the formation of wingtip vortices, which are created due to the pressure difference between the upper and lower surfaces of a lifting wing.

Q2: What is dynamic pressure?
A: Dynamic pressure, also referred to as velocity pressure, is a specific type of pressure associated with the kinetic energy per unit volume of a moving fluid.

Q3: What is lateral plane span?
A: Lateral plane span is set of all linear combinations of 2 non-parallel vectors u and v is called the span of u and v.

Q4: Why use 3.14 in the formula?
A: The value 3.14 represents the mathematical constant π (pi), which is used in aerodynamic calculations involving circular relationships.

Q5: What are typical lift force values for aircraft?
A: Lift force values vary significantly depending on aircraft size, weight, and flight conditions, ranging from thousands to millions of Newtons.