Lifting Force Given Friction Force Due To Rolling Resistance Calculator

Formula Used:

\[ L_{Aircraft} = \left( \left( M_{Aircraft} \times [g] \times \cos(\Phi) \right) - \left( \frac{F_{Friction}}{\mu_r} \right) \right) \]

Mass Aircraft:

Angle between Runway and Horizontal Plane:

Force of Friction:

Coefficient of Rolling Friction:

Lifting Force of Aircraft:

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1. What is Lifting Force Given Friction Force Due To Rolling Resistance?

The lifting force calculation accounts for the net vertical force acting on an aircraft, considering both the gravitational component and the friction forces due to rolling resistance. This is crucial for determining the actual lift required during takeoff and landing operations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L_{Aircraft} = \left( \left( M_{Aircraft} \times [g] \times \cos(\Phi) \right) - \left( \frac{F_{Friction}}{\mu_r} \right) \right) \]

Where:

\( L_{Aircraft} \) — Lifting Force of Aircraft (kN)
\( M_{Aircraft} \) — Mass of Aircraft (kg)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( \Phi \) — Angle between Runway and Horizontal Plane (°)
\( F_{Friction} \) — Force of Friction (kN)
\( \mu_r \) — Coefficient of Rolling Friction

Explanation: The formula calculates the net lifting force by subtracting the friction component from the gravitational force component along the runway plane.

3. Importance of Lifting Force Calculation

Details: Accurate lifting force calculation is essential for aircraft performance analysis, runway design, safety assessments, and determining takeoff and landing requirements under various conditions.

4. Using the Calculator

Tips: Enter mass in kilograms, angle in degrees, friction force in kilonewtons, and coefficient of rolling friction. All values must be positive with coefficient > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is the angle between runway and horizontal plane important?
A: The angle affects the gravitational component along the runway, which influences the net lifting force required for aircraft operations.

Q2: What is typical range for coefficient of rolling friction?
A: For aircraft on runways, the coefficient typically ranges from 0.02 to 0.05, depending on surface conditions and tire type.

Q3: How does friction force affect lifting force?
A: Higher friction forces reduce the net available lifting force, requiring more powerful lift generation for successful takeoff.

Q4: When is this calculation most critical?
A: This calculation is particularly important during takeoff from inclined runways or when operating with high rolling resistance conditions.

Q5: Can this formula be used for other vehicles?
A: While developed for aircraft, the principles can be applied to other vehicles where lifting force and rolling resistance are significant factors.