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Thrust for given liftoff distance Formula

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

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

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

Thrust for given liftoff distance Example

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Here is how the Thrust for given liftoff distance equation looks like with Values.

Here is how the Thrust for given liftoff distance equation looks like with Units.

Here is how the Thrust for given liftoff distance equation looks like.

186.5984 = 1.44 \cdot \frac{{60.5}^{2}}{9.8066 \cdot 1.225 \cdot 5.08 \cdot 0.0009 \cdot 523}

186.5984N = 1.44 \cdot \frac{{60.5N}^{2}}{9.8066m/s² \cdot 1.225kg/m³ \cdot 5.08m² \cdot 0.0009 \cdot 523m}

186.5984 = 1.44 \cdot \frac{{60.5}^{2}}{9.8066 \cdot 1.225 \cdot 5.08 \cdot 0.0009 \cdot 523}

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Thrust for given liftoff distance Solution

Follow our step by step solution on how to calculate Thrust for given liftoff distance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = 1.44 \cdot \frac{{60.5N}^{2}}{[g] \cdot 1.225kg/m³ \cdot 5.08m² \cdot 0.0009 \cdot 523m}

Next Step Substitute values of Constants

∴

T = 1.44 \cdot \frac{{60.5N}^{2}}{9.8066m/s² \cdot 1.225kg/m³ \cdot 5.08m² \cdot 0.0009 \cdot 523m}

Next Step Prepare to Evaluate

∴

T = 1.44 \cdot \frac{{60.5}^{2}}{9.8066 \cdot 1.225 \cdot 5.08 \cdot 0.0009 \cdot 523}

Next Step Evaluate

∴

T = 186.598352622793N

LAST Step Rounding Answer

∴

T = 186.5984N

Thrust for given liftoff distance Formula Elements

Variables

Constants

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

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

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

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 Thrust for given liftoff distance?

Thrust for given liftoff distance evaluator uses Aircraft Thrust = 1.44*(Weight^2)/([g]*Freestream Density*Reference Area*Maximum Lift Coefficient*Liftoff Distance) to evaluate the Aircraft Thrust, Thrust for Given Liftoff Distance is a measure of the minimum thrust required for an aircraft to take off from a given distance, considering the aircraft's weight, free stream density, reference area, maximum lift coefficient, and liftoff distance, ensuring a safe and efficient departure. Aircraft Thrust is denoted by T symbol.

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

FAQs on Thrust for given liftoff distance

What is the formula to find Thrust for given liftoff distance?

The formula of Thrust for given liftoff distance is expressed as Aircraft Thrust = 1.44*(Weight^2)/([g]*Freestream Density*Reference Area*Maximum Lift Coefficient*Liftoff Distance). Here is an example- 186.5984 = 1.44*(60.5^2)/([g]*1.225*5.08*0.000885*523).

How to calculate Thrust for given liftoff distance?

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

Can the Thrust for given liftoff distance be negative?

No, the Thrust for given liftoff distance, measured in Force cannot be negative.

Which unit is used to measure Thrust for given liftoff distance?

Thrust for given liftoff distance is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Thrust for given liftoff distance can be measured.

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Thrust for given liftoff distance Formula

Thrust for given liftoff distance Example

Thrust for given liftoff distance Solution

Thrust for given liftoff distance Formula Elements

Other formulas in Take Off category

How to Evaluate Thrust for given liftoff distance?

FAQs on Thrust for given liftoff distance

Variable Name