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Lift in Accelerated Flight Formula

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The Lift Force, lifting force or simply lift is the sum of all the forces on a body that force it to move perpendicular to the direction of flow. Check FAQs

F L = m \cdot [g] \cdot \cos (γ) + m \cdot \frac{v^{2}}{R curvature} - T \cdot \sin (σ T)

F_L - Lift Force?m - Mass of Aircraft?γ - Flight Path Angle?v - Velocity?R_curvature - Radius of Curvature?T - Thrust?σ_T - Thrust Angle?[g] - Gravitational acceleration on Earth?

Lift in Accelerated Flight Example

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Here is how the Lift in Accelerated Flight equation looks like with Values.

Here is how the Lift in Accelerated Flight equation looks like with Units.

Here is how the Lift in Accelerated Flight equation looks like.

199.653 = 20 \cdot 9.8066 \cdot \cos (0.062) + 20 \cdot \frac{60^{2}}{2600} - 700 \cdot \sin (0.034)

199.653N = 20kg \cdot 9.8066m/s² \cdot \cos (0.062rad) + 20kg \cdot \frac{{60m/s}^{2}}{2600m} - 700N \cdot \sin (0.034rad)

199.653 = 20 \cdot 9.8066 \cdot \cos (0.062) + 20 \cdot \frac{60^{2}}{2600} - 700 \cdot \sin (0.034)

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Lift in Accelerated Flight Solution

Follow our step by step solution on how to calculate Lift in Accelerated Flight?

FIRST Step Consider the formula

F L = m \cdot [g] \cdot \cos (γ) + m \cdot \frac{v^{2}}{R curvature} - T \cdot \sin (σ T)

Next Step Substitute values of Variables

∴

F L = 20kg \cdot [g] \cdot \cos (0.062rad) + 20kg \cdot \frac{{60m/s}^{2}}{2600m} - 700N \cdot \sin (0.034rad)

Next Step Substitute values of Constants

∴

F L = 20kg \cdot 9.8066m/s² \cdot \cos (0.062rad) + 20kg \cdot \frac{{60m/s}^{2}}{2600m} - 700N \cdot \sin (0.034rad)

Next Step Prepare to Evaluate

∴

F L = 20 \cdot 9.8066 \cdot \cos (0.062) + 20 \cdot \frac{60^{2}}{2600} - 700 \cdot \sin (0.034)

Next Step Evaluate

∴

F L = 199.653046007766N

LAST Step Rounding Answer

∴

F L = 199.653N

Lift in Accelerated Flight Formula Elements

Variables

Constants

Functions

Lift Force

The Lift Force, lifting force or simply lift is the sum of all the forces on a body that force it to move perpendicular to the direction of flow.

Symbol: F_L

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Lift Force

Mass of Aircraft

Mass of Aircraft is the total mass of the plane at any phase of its mission.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Aircraft

Flight Path Angle

Flight Path Angle is defined as the angle between horizontal and the flight velocity vector, which describes whether the aircraft is climbing or descending.

Symbol: γ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Flight Path Angle

Velocity

Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity

Radius of Curvature

The Radius of Curvature refers to the radius of the curved path an aircraft follows while climbing.

Symbol: R_curvature

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Curvature

Thrust

Thrust denotes the force exerted by the engine to propel an aircraft forward.

Symbol: T

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Thrust

Thrust Angle

Thrust angle is defined as the angle between thrust vector and flight path (or flight velocity) direction.

Symbol: σ_T

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Thrust Angle

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Climbing Flight category

Go Rate of Climb

RC = v \cdot \sin (γ)

Go Flight path angle at given rate of climb

γ = a \sin (\frac{RC}{v})

How to Evaluate Lift in Accelerated Flight?

Lift in Accelerated Flight evaluator uses Lift Force = Mass of Aircraft*[g]*cos(Flight Path Angle)+Mass of Aircraft*Velocity^2/Radius of Curvature-Thrust*sin(Thrust Angle) to evaluate the Lift Force, The Lift in Accelerated Flight is the aerodynamic force generated by the wings (or lifting surfaces) of the aircraft as it moves through the air. It acts perpendicular to the relative wind and is essential for counteracting the aircraft's weight to keep it aloft, the lift force acting on an aircraft plays a crucial role in maintaining its trajectory, stability, and maneuverability. Lift Force is denoted by F_L symbol.

How to evaluate Lift in Accelerated Flight using this online evaluator? To use this online evaluator for Lift in Accelerated Flight, enter Mass of Aircraft (m), Flight Path Angle (γ), Velocity (v), Radius of Curvature (R_curvature), Thrust (T) & Thrust Angle (σ_T) and hit the calculate button.

FAQs on Lift in Accelerated Flight

What is the formula to find Lift in Accelerated Flight?

The formula of Lift in Accelerated Flight is expressed as Lift Force = Mass of Aircraft*[g]*cos(Flight Path Angle)+Mass of Aircraft*Velocity^2/Radius of Curvature-Thrust*sin(Thrust Angle). Here is an example- 4971.961 = 20*[g]*cos(0.062)+20*60^2/radius_of_curvature_eom-700*sin(0.034).

How to calculate Lift in Accelerated Flight?

With Mass of Aircraft (m), Flight Path Angle (γ), Velocity (v), Radius of Curvature (R_curvature), Thrust (T) & Thrust Angle (σ_T) we can find Lift in Accelerated Flight using the formula - Lift Force = Mass of Aircraft*[g]*cos(Flight Path Angle)+Mass of Aircraft*Velocity^2/Radius of Curvature-Thrust*sin(Thrust Angle). This formula also uses Gravitational acceleration on Earth constant(s) and , Sine (sin), Cosine (cos) function(s).

Can the Lift in Accelerated Flight be negative?

No, the Lift in Accelerated Flight, measured in Force cannot be negative.

Which unit is used to measure Lift in Accelerated Flight?

Lift in Accelerated Flight is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Lift in Accelerated Flight can be measured.

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Lift in Accelerated Flight Formula

Lift in Accelerated Flight Example

Lift in Accelerated Flight Solution

Lift in Accelerated Flight Formula Elements

Other formulas in Climbing Flight category

How to Evaluate Lift in Accelerated Flight?

FAQs on Lift in Accelerated Flight

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