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Liftoff distance Formula

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Liftoff Distance is the portion of the takeoff procedure during which the airplane is accelerated from a standstill to an airspeed that provides sufficient lift for it to become airborne. Check FAQs

s LO = 1.44 \cdot \frac{W^{2}}{[g] \cdot ρ ∞ \cdot S \cdot C L,max \cdot T}

s_LO - Liftoff Distance?W - Weight?ρ_∞ - Freestream Density?S - Reference Area?C_L,max - Maximum Lift Coefficient?T - Aircraft Thrust?[g] - Gravitational acceleration on Earth?

Liftoff distance Example

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Here is how the Liftoff distance equation looks like with Values.

Here is how the Liftoff distance equation looks like with Units.

Here is how the Liftoff distance equation looks like.

523.2758 = 1.44 \cdot \frac{{60.5}^{2}}{9.8066 \cdot 1.225 \cdot 5.08 \cdot 0.0009 \cdot 186.5}

523.2758m = 1.44 \cdot \frac{{60.5N}^{2}}{9.8066m/s² \cdot 1.225kg/m³ \cdot 5.08m² \cdot 0.0009 \cdot 186.5N}

523.2758 = 1.44 \cdot \frac{{60.5}^{2}}{9.8066 \cdot 1.225 \cdot 5.08 \cdot 0.0009 \cdot 186.5}

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Liftoff distance Solution

Follow our step by step solution on how to calculate Liftoff distance?

FIRST Step Consider the formula

s LO = 1.44 \cdot \frac{W^{2}}{[g] \cdot ρ ∞ \cdot S \cdot C L,max \cdot T}

Next Step Substitute values of Variables

∴

s LO = 1.44 \cdot \frac{{60.5N}^{2}}{[g] \cdot 1.225kg/m³ \cdot 5.08m² \cdot 0.0009 \cdot 186.5N}

Next Step Substitute values of Constants

∴

s LO = 1.44 \cdot \frac{{60.5N}^{2}}{9.8066m/s² \cdot 1.225kg/m³ \cdot 5.08m² \cdot 0.0009 \cdot 186.5N}

Next Step Prepare to Evaluate

∴

s LO = 1.44 \cdot \frac{{60.5}^{2}}{9.8066 \cdot 1.225 \cdot 5.08 \cdot 0.0009 \cdot 186.5}

Next Step Evaluate

∴

s LO = 523.275809231745m

LAST Step Rounding Answer

∴

s LO = 523.2758m

Liftoff distance Formula Elements

Variables

Constants

Liftoff Distance

Liftoff Distance is the portion of the takeoff procedure during which the airplane is accelerated from a standstill to an airspeed that provides sufficient lift for it to become airborne.

Symbol: s_LO

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Liftoff Distance

Weight

Weight Newton is a vector quantity and defined as the product of mass and acceleration acting on that mass.

Symbol: W

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Weight

Freestream Density

Freestream density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.

Symbol: ρ_∞

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Freestream Density

Reference Area

The Reference Area is arbitrarily an area that is characteristic of the object being considered. For an aircraft wing, the wing's planform area is called the reference wing area or simply wing area.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Reference Area

Maximum Lift Coefficient

Maximum Lift Coefficient is defined as the lift coefficient of the airfoil at stalling angle of attack.

Symbol: C_L,max

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Maximum Lift Coefficient

Aircraft Thrust

Aircraft Thrust is defined as the force generated through propulsion engines that move an aircraft through the air.

Symbol: T

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Aircraft Thrust

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

Other formulas in Take Off category

Go Resistance force during ground roll

R = μ r \cdot (W - F L)

Go Coefficient of rolling friction during ground roll

μ r = \frac{R}{W - F L}

Go Weight of aircraft during ground roll

W = (\frac{R}{μ r}) + F L

Go Lift acting on aircraft during ground roll

F L = W - (\frac{R}{μ r})

How to Evaluate Liftoff distance?

Liftoff distance evaluator uses Liftoff Distance = 1.44*(Weight^2)/([g]*Freestream Density*Reference Area*Maximum Lift Coefficient*Aircraft Thrust) to evaluate the Liftoff Distance, Liftoff Distance is a measure of the distance required by an aircraft to take off from the ground, calculated by considering the weight tolerance, freestream density, reference area, maximum lift coefficient, and thrust of the aircraft, providing a critical parameter for aircraft design and performance evaluation. Liftoff Distance is denoted by s_LO symbol.

How to evaluate Liftoff distance using this online evaluator? To use this online evaluator for Liftoff distance, enter Weight (W), Freestream Density (ρ_∞), Reference Area (S), Maximum Lift Coefficient (C_L,max) & Aircraft Thrust (T) and hit the calculate button.

FAQs on Liftoff distance

What is the formula to find Liftoff distance?

The formula of Liftoff distance is expressed as Liftoff Distance = 1.44*(Weight^2)/([g]*Freestream Density*Reference Area*Maximum Lift Coefficient*Aircraft Thrust). Here is an example- 975909.4 = 1.44*(60.5^2)/([g]*1.225*5.08*0.000885*186.5).

How to calculate Liftoff distance?

With Weight (W), Freestream Density (ρ_∞), Reference Area (S), Maximum Lift Coefficient (C_L,max) & Aircraft Thrust (T) we can find Liftoff distance using the formula - Liftoff Distance = 1.44*(Weight^2)/([g]*Freestream Density*Reference Area*Maximum Lift Coefficient*Aircraft Thrust). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Liftoff distance be negative?

No, the Liftoff distance, measured in Length cannot be negative.

Which unit is used to measure Liftoff distance?

Liftoff distance is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Liftoff distance can be measured.

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Liftoff distance Formula

Liftoff distance Example

Liftoff distance Solution

Liftoff distance Formula Elements

Other formulas in Take Off category

How to Evaluate Liftoff distance?

FAQs on Liftoff distance

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