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Lift-to-drag ratio for given glide angle Formula

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The Lift-to-drag ratio is the amount of lift generated by a wing or vehicle, divided by the aerodynamic drag it creates by moving through the air. Check FAQs

LD = \frac{1}{\tan (θ)}

LD - Lift-to-drag Ratio?θ - Glide Angle?

Lift-to-drag ratio for given glide angle Example

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Here is how the Lift-to-drag ratio for given glide angle equation looks like with Values.

Here is how the Lift-to-drag ratio for given glide angle equation looks like with Units.

Here is how the Lift-to-drag ratio for given glide angle equation looks like.

6.6166 = \frac{1}{\tan (0.15)}

6.6166 = \frac{1}{\tan (0.15rad)}

6.6166 = \frac{1}{\tan (0.15)}

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Lift-to-drag ratio for given glide angle Solution

Follow our step by step solution on how to calculate Lift-to-drag ratio for given glide angle?

FIRST Step Consider the formula

LD = \frac{1}{\tan (θ)}

Next Step Substitute values of Variables

∴

LD = \frac{1}{\tan (0.15rad)}

Next Step Prepare to Evaluate

∴

LD = \frac{1}{\tan (0.15)}

Next Step Evaluate

∴

LD = 6.61659150558995

LAST Step Rounding Answer

∴

LD = 6.6166

Lift-to-drag ratio for given glide angle Formula Elements

Variables

Functions

Lift-to-drag Ratio

The Lift-to-drag ratio is the amount of lift generated by a wing or vehicle, divided by the aerodynamic drag it creates by moving through the air.

Symbol: LD

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift-to-drag Ratio

Glide Angle

Glide Angle is defined as the angle made by the glide flight path with the horizontal.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Glide Angle

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Gliding Flight category

Go Lift Force for given Glide Angle

F L = \frac{F D}{\tan (θ)}

Go Drag for given Glide Angle

F D = F L \cdot \tan (θ)

Go Glide angle

θ = a \tan (\frac{F D}{F L})

Go Glide angle for given lift-to-drag ratio

θ = a \tan (\frac{1}{LD})

How to Evaluate Lift-to-drag ratio for given glide angle?

Lift-to-drag ratio for given glide angle evaluator uses Lift-to-drag Ratio = 1/tan(Glide Angle) to evaluate the Lift-to-drag Ratio, The Lift-to-drag ratio for given glide angle can be determined using the tangent function, the lift-to-drag ratio represents the ratio of lift force to drag force experienced by the aircraft. Lift-to-drag Ratio is denoted by LD symbol.

How to evaluate Lift-to-drag ratio for given glide angle using this online evaluator? To use this online evaluator for Lift-to-drag ratio for given glide angle, enter Glide Angle (θ) and hit the calculate button.

FAQs on Lift-to-drag ratio for given glide angle

What is the formula to find Lift-to-drag ratio for given glide angle?

The formula of Lift-to-drag ratio for given glide angle is expressed as Lift-to-drag Ratio = 1/tan(Glide Angle). Here is an example- 6.616592 = 1/tan(0.15).

How to calculate Lift-to-drag ratio for given glide angle?

With Glide Angle (θ) we can find Lift-to-drag ratio for given glide angle using the formula - Lift-to-drag Ratio = 1/tan(Glide Angle). This formula also uses Tangent (tan) function(s).

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