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Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle Formula

GoWingspan for given Yawing Moment Coefficient Formula

GoWingspan for given Vertical Tail Volume Ratio Formula

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The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip. Check FAQs

b = 𝒍 v \cdot S v \cdot Q v \cdot C v \cdot \frac{β + σ}{S \cdot C n \cdot Q w}

b - Wingspan?𝒍_v - Vertical Tail Moment Arm?S_v - Vertical Tail Area?Q_v - Vertical Tail Dynamic Pressure?C_v - Vertical Tail Lift Curve Slope?β - Sideslip Angle?σ - Sidewash Angle?S - Reference Area?C_n - Yawing Moment Coefficient?Q_w - Wing Dynamic Pressure?

Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle Example

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Here is how the Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle equation looks like with Values.

Here is how the Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle equation looks like with Units.

Here is how the Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle equation looks like.

1.1516 = 1.2 \cdot 5 \cdot 11 \cdot 0.7 \cdot \frac{0.05 + 0.067}{5.08 \cdot 1.4 \cdot 0.66}

1.1516m = 1.2m \cdot 5m² \cdot 11Pa \cdot 0.7rad⁻¹ \cdot \frac{0.05rad + 0.067rad}{5.08m² \cdot 1.4 \cdot 0.66Pa}

1.1516 = 1.2 \cdot 5 \cdot 11 \cdot 0.7 \cdot \frac{0.05 + 0.067}{5.08 \cdot 1.4 \cdot 0.66}

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Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle Solution

Follow our step by step solution on how to calculate Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle?

FIRST Step Consider the formula

b = 𝒍 v \cdot S v \cdot Q v \cdot C v \cdot \frac{β + σ}{S \cdot C n \cdot Q w}

Next Step Substitute values of Variables

∴

b = 1.2m \cdot 5m² \cdot 11Pa \cdot 0.7rad⁻¹ \cdot \frac{0.05rad + 0.067rad}{5.08m² \cdot 1.4 \cdot 0.66Pa}

Next Step Prepare to Evaluate

∴

b = 1.2 \cdot 5 \cdot 11 \cdot 0.7 \cdot \frac{0.05 + 0.067}{5.08 \cdot 1.4 \cdot 0.66}

Next Step Evaluate

∴

b = 1.15157480314961m

LAST Step Rounding Answer

∴

b = 1.1516m

Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle Formula Elements

Variables

Wingspan

The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wingspan

Vertical Tail Moment Arm

The Vertical Tail Moment Arm is the distance between the centroid of the vertical tail shape and the center of gravity of the aircraft.

Symbol: 𝒍_v

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Vertical Tail Moment Arm

Vertical Tail Area

The Vertical Tail Area is the area of the surface of the vertical tail, including the submerged area to the fuselage centerline.

Symbol: S_v

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Vertical Tail Area

Vertical Tail Dynamic Pressure

Vertical Tail Dynamic Pressure is the dynamic pressure associated with the vertical tail of an aircraft.

Symbol: Q_v

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Vertical Tail Dynamic Pressure

Vertical Tail Lift Curve Slope

The Vertical Tail Lift Curve Slope is the slope associated with the lift curve of a vertical tailplane of an aircraft.

Symbol: C_v

Measurement: Reciprocal AngleUnit: rad⁻¹

Note: Value can be positive or negative.

Formulas to find Vertical Tail Lift Curve Slope

Sideslip Angle

The Sideslip Angle, also called the angle of sideslip, is a term used in fluid dynamics and aerodynamics, and aviation which relates to the rotation of the aircraft centerline from the relative wind.

Symbol: β

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Sideslip Angle

Sidewash Angle

Sidewash Angle is caused by the flow field distortion due to the wings and fuselage. It is analogous to the downwash angle for the horizontal tailplane.

Symbol: σ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Sidewash Angle

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

Yawing Moment Coefficient

Yawing Moment Coefficient is the coefficient associated with the moment that tends to rotate an airplane about its vertical (or yaw) axis.

Symbol: C_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Yawing Moment Coefficient

Wing Dynamic Pressure

Wing Dynamic Pressure is the dynamic pressure associated with the wing of an aircraft.

Symbol: Q_w

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Wing Dynamic Pressure

Other Formulas to find Wingspan

Go Wingspan for given Yawing Moment Coefficient

b = \frac{N v}{C n \cdot S \cdot Q w}

Go Wingspan for given Vertical Tail Volume Ratio

b = 𝒍 v \cdot \frac{S v}{S \cdot V v}

Other formulas in Wing Tail Interaction category

Go Wing Dynamic Pressure for given Yawing Moment Coefficient

Q w = \frac{N v}{C n \cdot S \cdot b}

Go Wing Area for given Moment Produced by Vertical Tail

S = \frac{N v}{C n \cdot Q w \cdot b}

How to Evaluate Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle?

Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle evaluator uses Wingspan = Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Reference Area*Yawing Moment Coefficient*Wing Dynamic Pressure) to evaluate the Wingspan, Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle is a measure of the aircraft's wingspan for the stable flight condition, calculated by considering the vertical tail's moment arm, area, dynamic pressure, and lift curve slope, as well as the sideslip angle and sidewash angle, in relation to the reference area and dynamic pressure of the wing, and the yawing moment coefficient. Wingspan is denoted by b symbol.

How to evaluate Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle using this online evaluator? To use this online evaluator for Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle, enter Vertical Tail Moment Arm (𝒍_v), Vertical Tail Area (S_v), Vertical Tail Dynamic Pressure (Q_v), Vertical Tail Lift Curve Slope (C_v), Sideslip Angle (β), Sidewash Angle (σ), Reference Area (S), Yawing Moment Coefficient (C_n) & Wing Dynamic Pressure (Q_w) and hit the calculate button.

FAQs on Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle

What is the formula to find Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle?

The formula of Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle is expressed as Wingspan = Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Reference Area*Yawing Moment Coefficient*Wing Dynamic Pressure). Here is an example- 1.151575 = 1.2*5*11*0.7*(0.05+0.067)/(5.08*1.4*0.66).

How to calculate Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle?

With Vertical Tail Moment Arm (𝒍_v), Vertical Tail Area (S_v), Vertical Tail Dynamic Pressure (Q_v), Vertical Tail Lift Curve Slope (C_v), Sideslip Angle (β), Sidewash Angle (σ), Reference Area (S), Yawing Moment Coefficient (C_n) & Wing Dynamic Pressure (Q_w) we can find Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle using the formula - Wingspan = Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Reference Area*Yawing Moment Coefficient*Wing Dynamic Pressure).

What are the other ways to Calculate Wingspan?

Here are the different ways to Calculate Wingspan-

Wingspan=Vertical Tail Moment/(Yawing Moment Coefficient*Reference Area*Wing Dynamic Pressure)
Wingspan=Vertical Tail Moment Arm*Vertical Tail Area/(Reference Area*Vertical Tail Volume Ratio)

Can the Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle be negative?

No, the Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle, measured in Length cannot be negative.

Which unit is used to measure Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle?

Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle can be measured.

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Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle Formula

​GoWingspan for given Yawing Moment Coefficient Formula

​GoWingspan for given Vertical Tail Volume Ratio Formula

Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle Example

Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle Solution

Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle Formula Elements

Other Formulas to find Wingspan

Other formulas in Wing Tail Interaction category

How to Evaluate Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle?

FAQs on Wingspan for Yawing Moment Coefficient given Sideslip Angle and Sidewash Angle

Variable Name

GoWingspan for given Yawing Moment Coefficient Formula

GoWingspan for given Vertical Tail Volume Ratio Formula