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Stall velocity for given weight Formula

GoStall velocity for given liftoff velocity Formula

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Stall Velocity is defined as the velocity of an airplane in steady flight at its maximum lift coefficient. Check FAQs

V stall = \sqrt{\frac{2 \cdot W}{ρ ∞ \cdot S \cdot C L,max}}

V_stall - Stall Velocity?W - Weight?ρ_∞ - Freestream Density?S - Reference Area?C_L,max - Maximum Lift Coefficient?

Stall velocity for given weight Example

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

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

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

148.2249 = \sqrt{\frac{2 \cdot 60.5}{1.225 \cdot 5.08 \cdot 0.0009}}

148.2249m/s = \sqrt{\frac{2 \cdot 60.5N}{1.225kg/m³ \cdot 5.08m² \cdot 0.0009}}

148.2249 = \sqrt{\frac{2 \cdot 60.5}{1.225 \cdot 5.08 \cdot 0.0009}}

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Stall velocity for given weight Solution

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

FIRST Step Consider the formula

V stall = \sqrt{\frac{2 \cdot W}{ρ ∞ \cdot S \cdot C L,max}}

Next Step Substitute values of Variables

∴

V stall = \sqrt{\frac{2 \cdot 60.5N}{1.225kg/m³ \cdot 5.08m² \cdot 0.0009}}

Next Step Prepare to Evaluate

∴

V stall = \sqrt{\frac{2 \cdot 60.5}{1.225 \cdot 5.08 \cdot 0.0009}}

Next Step Evaluate

∴

V stall = 148.224894299244m/s

LAST Step Rounding Answer

∴

V stall = 148.2249m/s

Stall velocity for given weight Formula Elements

Variables

Functions

Stall Velocity

Stall Velocity is defined as the velocity of an airplane in steady flight at its maximum lift coefficient.

Symbol: V_stall

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Stall 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 Stall Velocity

Go Stall velocity for given liftoff velocity

V stall = \frac{V LO}{1.2}

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 Stall velocity for given weight?

Stall velocity for given weight evaluator uses Stall Velocity = sqrt((2*Weight)/(Freestream Density*Reference Area*Maximum Lift Coefficient)) to evaluate the Stall Velocity, Stall Velocity for Given Weight is a measure of the airspeed at which an aircraft wing stalls, calculated as a function of weight, free stream density, reference area, and maximum lift coefficient, providing a critical velocity threshold for safe flight operations. Stall Velocity is denoted by V_stall symbol.

How to evaluate Stall velocity for given weight using this online evaluator? To use this online evaluator for Stall 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 Stall velocity for given weight

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

The formula of Stall velocity for given weight is expressed as Stall Velocity = sqrt((2*Weight)/(Freestream Density*Reference Area*Maximum Lift Coefficient)). Here is an example- 3.432818 = sqrt((2*60.5)/(1.225*5.08*0.000885)).

How to calculate Stall velocity for given weight?

With Weight (W), Freestream Density (ρ_∞), Reference Area (S) & Maximum Lift Coefficient (C_L,max) we can find Stall velocity for given weight using the formula - Stall Velocity = 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 Stall Velocity?

Here are the different ways to Calculate Stall Velocity-

Stall Velocity=Liftoff velocity/1.2

Can the Stall velocity for given weight be negative?

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

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

Stall 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 Stall velocity for given weight can be measured.

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Stall velocity for given weight Formula

​GoStall velocity for given liftoff velocity Formula

Stall velocity for given weight Example

Stall velocity for given weight Solution

Stall velocity for given weight Formula Elements

Other Formulas to find Stall Velocity

Other formulas in Take Off category

How to Evaluate Stall velocity for given weight?

FAQs on Stall velocity for given weight

Variable Name

GoStall velocity for given liftoff velocity Formula