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Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency Formula

GoSideslip Angle for Aircraft Formula

GoSideslip Angle for given Moment Produced by Vertical Tail Formula

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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. Check FAQs

β = (\frac{C n}{V v \cdot η v \cdot C v}) - σ

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

Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency Example

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Here is how the Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency equation looks like with Values.

Here is how the Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency equation looks like with Units.

Here is how the Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency equation looks like.

0.0507 = (\frac{1.4}{1.02 \cdot 16.66 \cdot 0.7}) - 0.067

0.0507rad = (\frac{1.4}{1.02 \cdot 16.66 \cdot 0.7rad⁻¹}) - 0.067rad

0.0507 = (\frac{1.4}{1.02 \cdot 16.66 \cdot 0.7}) - 0.067

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Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency Solution

Follow our step by step solution on how to calculate Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency?

FIRST Step Consider the formula

β = (\frac{C n}{V v \cdot η v \cdot C v}) - σ

Next Step Substitute values of Variables

∴

β = (\frac{1.4}{1.02 \cdot 16.66 \cdot 0.7rad⁻¹}) - 0.067rad

Next Step Prepare to Evaluate

∴

β = (\frac{1.4}{1.02 \cdot 16.66 \cdot 0.7}) - 0.067

Next Step Evaluate

∴

β = 0.0506941364781206rad

LAST Step Rounding Answer

∴

β = 0.0507rad

Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency Formula Elements

Variables

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

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

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 Sideslip Angle

Go Sideslip Angle for Aircraft

β = α v - σ

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

Go SideSlip Angle for given Yawing Moment Coefficient

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

Other formulas in Aerodynamic Parameters category

Go Sidewash angle

σ = α v - β

Go Yawing Moment Coefficient using Wingspan

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

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 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}

How to Evaluate Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency?

Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency evaluator uses Sideslip Angle = (Yawing Moment Coefficient/(Vertical Tail Volume Ratio*Vertical Tail Efficiency*Vertical Tail Lift Curve Slope))-Sidewash Angle to evaluate the Sideslip Angle, Sideslip angle given yawing moment coefficient and tail efficiency describes the relationship between an aircraft's sideslip angle and its yawing moment coefficient, taking into account the vertical tail volume ratio, efficiency, and lift curve slope, as well as the sidewash angle, providing valuable insights for aerodynamic analysis and aircraft design. Sideslip Angle is denoted by β symbol.

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

FAQs on Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency

What is the formula to find Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency?

The formula of Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency is expressed as Sideslip Angle = (Yawing Moment Coefficient/(Vertical Tail Volume Ratio*Vertical Tail Efficiency*Vertical Tail Lift Curve Slope))-Sidewash Angle. Here is an example- 0.050694 = (1.4/(1.02*16.66*0.7))-0.067.

How to calculate Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency?

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

What are the other ways to Calculate Sideslip Angle?

Here are the different ways to Calculate Sideslip Angle-

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

Can the Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency be negative?

Yes, the Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency, measured in Angle can be negative.

Which unit is used to measure Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency?

Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency can be measured.

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Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency Formula

​GoSideslip Angle for Aircraft Formula

​GoSideslip Angle for given Moment Produced by Vertical Tail Formula

Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency Example

Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency Solution

Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency Formula Elements

Other Formulas to find Sideslip Angle

Other formulas in Aerodynamic Parameters category

How to Evaluate Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency?

FAQs on Sideslip Angle given Yawing Moment Coefficient and Tail Efficiency

Variable Name

GoSideslip Angle for Aircraft Formula

GoSideslip Angle for given Moment Produced by Vertical Tail Formula