FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Touchdown velocity Formula

GoTouchdown velocity for given stall velocity Formula

Fx Copy

LaTeX Copy

Touchdown Velocity is the instantaneous velocity of an aircraft when it touches the ground during landing. Check FAQs

V T = 1.3 \cdot (\sqrt{2 \cdot \frac{W}{ρ ∞ \cdot S \cdot C L,max}})

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

Touchdown velocity Example

With values

With units

Only example

Here is how the Touchdown velocity equation looks like with Values.

Here is how the Touchdown velocity equation looks like with Units.

Here is how the Touchdown velocity equation looks like.

192.6924 = 1.3 \cdot (\sqrt{2 \cdot \frac{60.5}{1.225 \cdot 5.08 \cdot 0.0009}})

192.6924m/s = 1.3 \cdot (\sqrt{2 \cdot \frac{60.5N}{1.225kg/m³ \cdot 5.08m² \cdot 0.0009}})

192.6924 = 1.3 \cdot (\sqrt{2 \cdot \frac{60.5}{1.225 \cdot 5.08 \cdot 0.0009}})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Aerospace » Category

Aircraft Mechanics » fx Touchdown velocity

Touchdown velocity Solution

Follow our step by step solution on how to calculate Touchdown velocity?

FIRST Step Consider the formula

V T = 1.3 \cdot (\sqrt{2 \cdot \frac{W}{ρ ∞ \cdot S \cdot C L,max}})

Next Step Substitute values of Variables

∴

V T = 1.3 \cdot (\sqrt{2 \cdot \frac{60.5N}{1.225kg/m³ \cdot 5.08m² \cdot 0.0009}})

Next Step Prepare to Evaluate

∴

V T = 1.3 \cdot (\sqrt{2 \cdot \frac{60.5}{1.225 \cdot 5.08 \cdot 0.0009}})

Next Step Evaluate

∴

V T = 192.692362589018m/s

LAST Step Rounding Answer

∴

V T = 192.6924m/s

Touchdown velocity Formula Elements

Variables

Functions

Touchdown Velocity

Touchdown Velocity is the instantaneous velocity of an aircraft when it touches the ground during landing.

Symbol: V_T

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Touchdown 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 Touchdown Velocity

Go Touchdown velocity for given stall velocity

V T = 1.3 \cdot V stall

Other formulas in Landing category

Go Landing Ground Run

Sg l = (F normal \cdot V TD) + (\frac{W aircraft}{2 \cdot [g]}) \cdot \int (\frac{2 \cdot V ∞}{V TR + D + μ ref \cdot (W aircraft - L)}, x, 0, V TD)

Go Stall velocity for given touchdown velocity

V stall = \frac{V T}{1.3}

Go Landing ground roll distance

s L = 1.69 \cdot (W^{2}) \cdot (\frac{1}{[g] \cdot ρ ∞ \cdot S \cdot C L,max}) \cdot (\frac{1}{(0.5 \cdot ρ ∞ \cdot ({(0.7 \cdot V T)}^{2}) \cdot S \cdot (C D,0 + (ϕ \cdot \frac{{C L}^{2}}{π \cdot e \cdot AR}))) + (μ r \cdot (W - (0.5 \cdot ρ ∞ \cdot ({(0.7 \cdot V T)}^{2}) \cdot S \cdot C L)))})

How to Evaluate Touchdown velocity?

Touchdown velocity evaluator uses Touchdown Velocity = 1.3*(sqrt(2*Weight/(Freestream Density*Reference Area*Maximum Lift Coefficient))) to evaluate the Touchdown Velocity, The Touchdown Velocity is the speed at which an aircraft lands. This formula calculates the touchdown velocity based on the aircraft's weight, freestream density, reference area, and maximum lift coefficient. Understanding and applying this formula is essential for pilots and engineers to ensure safe and controlled landings, optimizing approach and landing performance. Touchdown Velocity is denoted by V_T symbol.

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

FAQs on Touchdown velocity

What is the formula to find Touchdown velocity?

The formula of Touchdown velocity is expressed as Touchdown Velocity = 1.3*(sqrt(2*Weight/(Freestream Density*Reference Area*Maximum Lift Coefficient))). Here is an example- 4.462664 = 1.3*(sqrt(2*60.5/(1.225*5.08*0.000885))).

How to calculate Touchdown velocity?

With Weight (W), Freestream Density (ρ_∞), Reference Area (S) & Maximum Lift Coefficient (C_L,max) we can find Touchdown velocity using the formula - Touchdown Velocity = 1.3*(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 Touchdown Velocity?

Here are the different ways to Calculate Touchdown Velocity-

Touchdown Velocity=1.3*Stall Velocity

Can the Touchdown velocity be negative?

No, the Touchdown velocity, measured in Speed cannot be negative.

Which unit is used to measure Touchdown velocity?

Touchdown velocity 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 Touchdown velocity can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Touchdown velocity Formula

​GoTouchdown velocity for given stall velocity Formula

Touchdown velocity Example

Touchdown velocity Solution

Touchdown velocity Formula Elements

Other Formulas to find Touchdown Velocity

Other formulas in Landing category

How to Evaluate Touchdown velocity?

FAQs on Touchdown velocity

Variable Name

GoTouchdown velocity for given stall velocity Formula