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Yawing Moment Coefficient for given Vertical Tail Volume Ratio Formula

GoYawing Moment Coefficient using Wingspan Formula

GoYawing Moment Coefficient for given Vertical Tail Lift Curve Slope Formula

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

C n = V v \cdot η v \cdot C v \cdot (β + σ)

C_n - Yawing Moment Coefficient?V_v - Vertical Tail Volume Ratio?η_v - Vertical Tail Efficiency?C_v - Vertical Tail Lift Curve Slope?β - Sideslip Angle?σ - Sidewash Angle?

Yawing Moment Coefficient for given Vertical Tail Volume Ratio Example

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Here is how the Yawing Moment Coefficient for given Vertical Tail Volume Ratio equation looks like with Values.

Here is how the Yawing Moment Coefficient for given Vertical Tail Volume Ratio equation looks like with Units.

Here is how the Yawing Moment Coefficient for given Vertical Tail Volume Ratio equation looks like.

1.3917 = 1.02 \cdot 16.66 \cdot 0.7 \cdot (0.05 + 0.067)

1.3917 = 1.02 \cdot 16.66 \cdot 0.7rad⁻¹ \cdot (0.05rad + 0.067rad)

1.3917 = 1.02 \cdot 16.66 \cdot 0.7 \cdot (0.05 + 0.067)

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Yawing Moment Coefficient for given Vertical Tail Volume Ratio Solution

Follow our step by step solution on how to calculate Yawing Moment Coefficient for given Vertical Tail Volume Ratio?

FIRST Step Consider the formula

C n = V v \cdot η v \cdot C v \cdot (β + σ)

Next Step Substitute values of Variables

∴

C n = 1.02 \cdot 16.66 \cdot 0.7rad⁻¹ \cdot (0.05rad + 0.067rad)

Next Step Prepare to Evaluate

∴

C n = 1.02 \cdot 16.66 \cdot 0.7 \cdot (0.05 + 0.067)

Next Step Evaluate

∴

C n = 1.39174308

LAST Step Rounding Answer

∴

C n = 1.3917

Yawing Moment Coefficient for given Vertical Tail Volume Ratio Formula Elements

Variables

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

Vertical Tail Volume Ratio

Vertical Tail Volume Ratio relates to the area of the vertical tail, the distance between the centroid of vertical tail area and aircraft's e.g., the wing area, and the wingspan.

Symbol: V_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Vertical Tail Volume Ratio

Vertical Tail Efficiency

Vertical Tail Efficiency is the tail efficiency associated with the vertical tail of an aircraft.

Symbol: η_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Vertical Tail Efficiency

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

Other Formulas to find Yawing Moment Coefficient

Go Yawing Moment Coefficient using Wingspan

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

Go Yawing Moment Coefficient for given Vertical Tail Lift Curve Slope

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

Other formulas in Aerodynamic Parameters category

Go Sideslip Angle for Aircraft

β = α v - σ

Go Sidewash angle

σ = α v - β

Go Sidewash Angle for given Moment Produced by Vertical Tail

σ = (\frac{N v}{𝒍 v \cdot C v \cdot Q v \cdot S v}) - β

Go Sideslip Angle for given Moment Produced by Vertical Tail

β = (\frac{N v}{𝒍 v \cdot C v \cdot Q v \cdot S v}) - σ

How to Evaluate Yawing Moment Coefficient for given Vertical Tail Volume Ratio?

Yawing Moment Coefficient for given Vertical Tail Volume Ratio evaluator uses Yawing Moment Coefficient = Vertical Tail Volume Ratio*Vertical Tail Efficiency*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle) to evaluate the Yawing Moment Coefficient, Yawing moment coefficient for given vertical tail volume ratio is a measure of the rotational force around the vertical axis, influenced by the vertical tail's volume, efficiency, and lift characteristics, as well as the angles of sideslip and sidewash. Yawing Moment Coefficient is denoted by C_n symbol.

How to evaluate Yawing Moment Coefficient for given Vertical Tail Volume Ratio using this online evaluator? To use this online evaluator for Yawing Moment Coefficient for given Vertical Tail Volume Ratio, enter Vertical Tail Volume Ratio (V_v), Vertical Tail Efficiency (η_v), Vertical Tail Lift Curve Slope (C_v), Sideslip Angle (β) & Sidewash Angle (σ) and hit the calculate button.

FAQs on Yawing Moment Coefficient for given Vertical Tail Volume Ratio

What is the formula to find Yawing Moment Coefficient for given Vertical Tail Volume Ratio?

The formula of Yawing Moment Coefficient for given Vertical Tail Volume Ratio is expressed as Yawing Moment Coefficient = Vertical Tail Volume Ratio*Vertical Tail Efficiency*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle). Here is an example- 1.391743 = 1.02*16.66*0.7*(0.05+0.067).

How to calculate Yawing Moment Coefficient for given Vertical Tail Volume Ratio?

With Vertical Tail Volume Ratio (V_v), Vertical Tail Efficiency (η_v), Vertical Tail Lift Curve Slope (C_v), Sideslip Angle (β) & Sidewash Angle (σ) we can find Yawing Moment Coefficient for given Vertical Tail Volume Ratio using the formula - Yawing Moment Coefficient = Vertical Tail Volume Ratio*Vertical Tail Efficiency*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle).

What are the other ways to Calculate Yawing Moment Coefficient?

Here are the different ways to Calculate Yawing Moment Coefficient-

Yawing Moment Coefficient=Vertical Tail Moment/(Wing Dynamic Pressure*Reference Area*Wingspan)
Yawing Moment Coefficient=Vertical Tail Moment Arm*Vertical Tail Area*Vertical Tail Dynamic Pressure*Vertical Tail Lift Curve Slope*(Sideslip Angle+Sidewash Angle)/(Reference Area*Wingspan*Wing Dynamic Pressure)

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Yawing Moment Coefficient for given Vertical Tail Volume Ratio Formula

​GoYawing Moment Coefficient using Wingspan Formula

​GoYawing Moment Coefficient for given Vertical Tail Lift Curve Slope Formula

Yawing Moment Coefficient for given Vertical Tail Volume Ratio Example

Yawing Moment Coefficient for given Vertical Tail Volume Ratio Solution

Yawing Moment Coefficient for given Vertical Tail Volume Ratio Formula Elements

Other Formulas to find Yawing Moment Coefficient

Other formulas in Aerodynamic Parameters category

How to Evaluate Yawing Moment Coefficient for given Vertical Tail Volume Ratio?

FAQs on Yawing Moment Coefficient for given Vertical Tail Volume Ratio

Variable Name

GoYawing Moment Coefficient using Wingspan Formula

GoYawing Moment Coefficient for given Vertical Tail Lift Curve Slope Formula