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Aircraft sideslip velocity for given dihedral angle Formula

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Sideslip velocity is the velocity of aircraft when it sideslips. Check FAQs

V β = \frac{V n}{\sin (Γ)}

V_β - Sideslip velocity?V_n - Side Velocity Normal Component?Γ - Dihedral angle?

Aircraft sideslip velocity for given dihedral angle Example

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Here is how the Aircraft sideslip velocity for given dihedral angle equation looks like with Values.

Here is how the Aircraft sideslip velocity for given dihedral angle equation looks like with Units.

Here is how the Aircraft sideslip velocity for given dihedral angle equation looks like.

20.5435 = \frac{8}{\sin (0.4)}

20.5435m/s = \frac{8m/s}{\sin (0.4rad)}

20.5435 = \frac{8}{\sin (0.4)}

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Aircraft sideslip velocity for given dihedral angle Solution

Follow our step by step solution on how to calculate Aircraft sideslip velocity for given dihedral angle?

FIRST Step Consider the formula

V β = \frac{V n}{\sin (Γ)}

Next Step Substitute values of Variables

∴

V β = \frac{8m/s}{\sin (0.4rad)}

Next Step Prepare to Evaluate

∴

V β = \frac{8}{\sin (0.4)}

Next Step Evaluate

∴

V β = 20.5434596443823m/s

LAST Step Rounding Answer

∴

V β = 20.5435m/s

Aircraft sideslip velocity for given dihedral angle Formula Elements

Variables

Functions

Sideslip velocity

Sideslip velocity is the velocity of aircraft when it sideslips.

Symbol: V_β

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Sideslip velocity

Side Velocity Normal Component

Side velocity normal component is the normal component of side velocity associated with the dihedral effect.

Symbol: V_n

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Side Velocity Normal Component

Dihedral angle

The dihedral angle is defined as the spanwise inclination of the wing with respect to the horizontal.

Symbol: Γ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Dihedral angle

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Lateral Stability category

Go Normal component of aircraft side velocity for given forward velocity

V n = Δα \cdot V

Go Aircraft forward velocity for given normal component of side velocity

V = \frac{V n}{Δα}

Go Normal component of aircraft side velocity for given dihedral angle

V n = V β \cdot \sin (Γ)

Go Dihedral angle for given sideslip velocity

Γ = a \sin (\frac{V n}{V β})

How to Evaluate Aircraft sideslip velocity for given dihedral angle?

Aircraft sideslip velocity for given dihedral angle evaluator uses Sideslip velocity = Side Velocity Normal Component/sin(Dihedral angle) to evaluate the Sideslip velocity, Aircraft Sideslip Velocity for Given Dihedral Angle is a measure of the velocity of an aircraft's sideways movement, calculated by dividing the side velocity normal component by the sine of the wing dihedral angle, providing insight into the aircraft's stability and control during flight. Sideslip velocity is denoted by V_β symbol.

How to evaluate Aircraft sideslip velocity for given dihedral angle using this online evaluator? To use this online evaluator for Aircraft sideslip velocity for given dihedral angle, enter Side Velocity Normal Component (V_n) & Dihedral angle (Γ) and hit the calculate button.

FAQs on Aircraft sideslip velocity for given dihedral angle

What is the formula to find Aircraft sideslip velocity for given dihedral angle?

The formula of Aircraft sideslip velocity for given dihedral angle is expressed as Sideslip velocity = Side Velocity Normal Component/sin(Dihedral angle). Here is an example- 20.54346 = 8/sin(0.4).

How to calculate Aircraft sideslip velocity for given dihedral angle?

With Side Velocity Normal Component (V_n) & Dihedral angle (Γ) we can find Aircraft sideslip velocity for given dihedral angle using the formula - Sideslip velocity = Side Velocity Normal Component/sin(Dihedral angle). This formula also uses Sine (sin) function(s).

Can the Aircraft sideslip velocity for given dihedral angle be negative?

No, the Aircraft sideslip velocity for given dihedral angle, measured in Speed cannot be negative.

Which unit is used to measure Aircraft sideslip velocity for given dihedral angle?

Aircraft sideslip velocity for given dihedral angle 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 Aircraft sideslip velocity for given dihedral angle can be measured.

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