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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
Cn=Cnδrδr
Cn - Yawing Moment Coefficient?Cnδr - Yawing Moment with Rudder Deflection Angle?δr - Rudder Deflection Angle?

Rudder Control Effectiveness Example

With values
With units
Only example

Here is how the Rudder Control Effectiveness equation looks like with Values.

Here is how the Rudder Control Effectiveness equation looks like with Units.

Here is how the Rudder Control Effectiveness equation looks like.

7.2Edit=0.96Edit7.5Edit
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Rudder Control Effectiveness Solution

Follow our step by step solution on how to calculate Rudder Control Effectiveness?

FIRST Step Consider the formula
Cn=Cnδrδr
Next Step Substitute values of Variables
Cn=0.967.5rad
Next Step Prepare to Evaluate
Cn=0.967.5
LAST Step Evaluate
Cn=7.2

Rudder Control Effectiveness 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: Cn
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Yawing Moment with Rudder Deflection Angle
Yawing moment with rudder deflection angle is the rate of change of deflection.
Symbol: Cnδr
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Rudder Deflection Angle
Rudder Deflection Angle is a lateral force and hence a bigger yawing moment (N), leading to a more pronounced yaw.
Symbol: δr
Measurement: AngleUnit: rad
Note: Value can be positive or negative.

Other Formulas to find Yawing Moment Coefficient

​Go Yawing Moment Coefficient given Rudder Deflection
Cn=-(QvQw)(lvSvbs)(dclr)δr
​Go Yawing Moment given Rudder Deflection
Cn=NQwsb

Other formulas in Directional Control category

​Go Rudder Deflection Angle given Yawing Moment Coefficient
δr=-(QvQw)(lvSvbs)(dClr)Cn
​Go Yawing Moment with Rudder Deflection Angle
Cnδr=-(ηvVv)(dCL,vdδr)

How to Evaluate Rudder Control Effectiveness?

Rudder Control Effectiveness evaluator uses Yawing Moment Coefficient = Yawing Moment with Rudder Deflection Angle*Rudder Deflection Angle to evaluate the Yawing Moment Coefficient, Rudder Control Effectiveness is a measure of an aircraft's ability to respond to rudder input, which affects its directional control during flight, particularly during takeoff, landing, and low-speed flight regimes. Yawing Moment Coefficient is denoted by Cn symbol.

How to evaluate Rudder Control Effectiveness using this online evaluator? To use this online evaluator for Rudder Control Effectiveness, enter Yawing Moment with Rudder Deflection Angle (Cnδr) & Rudder Deflection Angle r) and hit the calculate button.

FAQs on Rudder Control Effectiveness

What is the formula to find Rudder Control Effectiveness?
The formula of Rudder Control Effectiveness is expressed as Yawing Moment Coefficient = Yawing Moment with Rudder Deflection Angle*Rudder Deflection Angle. Here is an example- 52.5 = 0.96*7.5.
How to calculate Rudder Control Effectiveness?
With Yawing Moment with Rudder Deflection Angle (Cnδr) & Rudder Deflection Angle r) we can find Rudder Control Effectiveness using the formula - Yawing Moment Coefficient = Yawing Moment with Rudder Deflection Angle*Rudder Deflection Angle.
What are the other ways to Calculate Yawing Moment Coefficient?
Here are the different ways to Calculate Yawing Moment Coefficient-
  • Yawing Moment Coefficient=-(Dynamic Pressure at Vertical Tail/Dynamic Pressure at Wing)*((Distance between Rudder Hinge Line and Cg*Vertical Tail Area)/(Wingspan*Wing Reference Area))*(Coefficient of Lift/Deviated Rudder Deflection Angle)*Rudder Deflection AngleOpenImg
  • Yawing Moment Coefficient=Negative Yawing Moment/Dynamic Pressure at Wing*Wing Reference Area*WingspanOpenImg
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