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Liftoff velocity for given weight Formula

GoLiftoff velocity for given stall velocity Formula

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Liftoff velocity is defined as the velocity of the aircraft at which it first becomes airborne. Check FAQs

V LO = 1.2 \cdot (\sqrt{\frac{2 \cdot W}{ρ ∞ \cdot S \cdot C L,max}})

V_LO - Liftoff velocity?W - Weight?ρ_∞ - Freestream Density?S - Reference Area?C_L,max - Maximum Lift Coefficient?

Liftoff velocity for given weight Example

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Here is how the Liftoff velocity for given weight equation looks like with Values.

Here is how the Liftoff velocity for given weight equation looks like with Units.

Here is how the Liftoff velocity for given weight equation looks like.

177.8699 = 1.2 \cdot (\sqrt{\frac{2 \cdot 60.5}{1.225 \cdot 5.08 \cdot 0.0009}})

177.8699m/s = 1.2 \cdot (\sqrt{\frac{2 \cdot 60.5N}{1.225kg/m³ \cdot 5.08m² \cdot 0.0009}})

177.8699 = 1.2 \cdot (\sqrt{\frac{2 \cdot 60.5}{1.225 \cdot 5.08 \cdot 0.0009}})

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Liftoff velocity for given weight Solution

Follow our step by step solution on how to calculate Liftoff velocity for given weight?

FIRST Step Consider the formula

V LO = 1.2 \cdot (\sqrt{\frac{2 \cdot W}{ρ ∞ \cdot S \cdot C L,max}})

Next Step Substitute values of Variables

∴

V LO = 1.2 \cdot (\sqrt{\frac{2 \cdot 60.5N}{1.225kg/m³ \cdot 5.08m² \cdot 0.0009}})

Next Step Prepare to Evaluate

∴

V LO = 1.2 \cdot (\sqrt{\frac{2 \cdot 60.5}{1.225 \cdot 5.08 \cdot 0.0009}})

Next Step Evaluate

∴

V LO = 177.869873159093m/s

LAST Step Rounding Answer

∴

V LO = 177.8699m/s

Liftoff velocity for given weight Formula Elements

Variables

Functions

Liftoff velocity

Liftoff velocity is defined as the velocity of the aircraft at which it first becomes airborne.

Symbol: V_LO

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Liftoff velocity

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Liftoff velocity

Go Liftoff velocity for given stall velocity

V LO = 1.2 \cdot V stall

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 velocity for given weight?

Liftoff velocity for given weight evaluator uses Liftoff velocity = 1.2*(sqrt((2*Weight)/(Freestream Density*Reference Area*Maximum Lift Coefficient))) to evaluate the Liftoff velocity, Liftoff Velocity for Given Weight is a measure of the minimum velocity required for an object to lift off the ground, calculated based on the weight, free stream density, reference area, and maximum lift coefficient. Liftoff velocity is denoted by V_LO symbol.

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

FAQs on Liftoff velocity for given weight

What is the formula to find Liftoff velocity for given weight?

The formula of Liftoff velocity for given weight is expressed as Liftoff velocity = 1.2*(sqrt((2*Weight)/(Freestream Density*Reference Area*Maximum Lift Coefficient))). Here is an example- 4.119382 = 1.2*(sqrt((2*60.5)/(1.225*5.08*0.000885))).

How to calculate Liftoff velocity for given weight?

With Weight (W), Freestream Density (ρ_∞), Reference Area (S) & Maximum Lift Coefficient (C_L,max) we can find Liftoff velocity for given weight using the formula - Liftoff velocity = 1.2*(sqrt((2*Weight)/(Freestream Density*Reference Area*Maximum Lift Coefficient))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Liftoff velocity?

Here are the different ways to Calculate Liftoff velocity-

Liftoff velocity=1.2*Stall Velocity

Can the Liftoff velocity for given weight be negative?

No, the Liftoff velocity for given weight, measured in Speed cannot be negative.

Which unit is used to measure Liftoff velocity for given weight?

Liftoff velocity for given weight is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Liftoff velocity for given weight can be measured.

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Liftoff velocity for given weight Formula

​GoLiftoff velocity for given stall velocity Formula

Liftoff velocity for given weight Example

Liftoff velocity for given weight Solution

Liftoff velocity for given weight Formula Elements

Other Formulas to find Liftoff velocity

Other formulas in Take Off category

How to Evaluate Liftoff velocity for given weight?

FAQs on Liftoff velocity for given weight

Variable Name

GoLiftoff velocity for given stall velocity Formula