Yawing Moment given Rudder Deflection Calculator

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✖A Negative Yawing Moment is produced by positive sideslip.ⓘ Negative Yawing Moment [N]			+10% -10%
✖Dynamic Pressure at Wing Represents the kinetic energy per unit volume of air due to its motion.ⓘ Dynamic Pressure at Wing [Q_w]			+10% -10%
✖Wing Reference Area is the planform area, refers to the projected area of the wing, as if viewed directly from above.ⓘ Wing Reference Area [s]			+10% -10%
✖The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.ⓘ Wingspan [b]			+10% -10%

✖Yawing moment coefficient is the coefficient associated with the moment that tends to rotate an airplane about its vertical (or yaw) axis.ⓘ Yawing Moment given Rudder Deflection [C_n]

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Yawing Moment given Rudder Deflection

Formula

`"C"_{"n"} = "N"/"Q"_{"w"}*"s"*"b"`

Example

`"7.276944"="11.5"/"90Pa"*"8.5m²"*"6.7m"`

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Yawing Moment given Rudder Deflection Solution

STEP 0: Pre-Calculation Summary

Formula Used

Yawing Moment Coefficient = Negative Yawing Moment/Dynamic Pressure at Wing*Wing Reference Area*Wingspan
C_n = N/Q_w*s*b
This formula uses 5 Variables

Variables Used

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.
Negative Yawing Moment - A Negative Yawing Moment is produced by positive sideslip.
Dynamic Pressure at Wing - (Measured in Pascal) - Dynamic Pressure at Wing Represents the kinetic energy per unit volume of air due to its motion.
Wing Reference Area - (Measured in Square Meter) - Wing Reference Area is the planform area, refers to the projected area of the wing, as if viewed directly from above.
Wingspan - (Measured in Meter) - The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.

STEP 1: Convert Input(s) to Base Unit

Negative Yawing Moment: 11.5 --> No Conversion Required
Dynamic Pressure at Wing: 90 Pascal --> 90 Pascal No Conversion Required
Wing Reference Area: 8.5 Square Meter --> 8.5 Square Meter No Conversion Required
Wingspan: 6.7 Meter --> 6.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_n = N/Q_w*s*b --> 11.5/90*8.5*6.7

Evaluating ... ...

C_n = 7.27694444444444

STEP 3: Convert Result to Output's Unit

7.27694444444444 --> No Conversion Required

FINAL ANSWER

7.27694444444444 ≈ 7.276944 <-- Yawing Moment Coefficient

(Calculation completed in 00.004 seconds)

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< 5 Directional Control Calculators

Yawing Moment Coefficient given Rudder Deflection

Go 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 Angle

Rudder Deflection Angle given Yawing Moment Coefficient

Go Rudder Deflection Angle = -(Dynamic Pressure at Vertical Tail/Dynamic Pressure at Wing)*((Distance between Rudder Hinge Line and Cg*Vertical Tail Area)/(Wingspan*Wing Reference Area))*(Lift Coefficient/Deviated Rudder Deflection Angle)*Yawing Moment Coefficient

Yawing Moment with Rudder Deflection Angle

Go Yawing Moment with Rudder Deflection Angle = -(Vertical Tail Efficiency Factor*Velocity at Tail Plane)*(Change in Coefficient of Lift Refers to Tail Plane/Change in Rudder Deflection Angle)

Yawing Moment given Rudder Deflection

Go Yawing Moment Coefficient = Negative Yawing Moment/Dynamic Pressure at Wing*Wing Reference Area*Wingspan

Rudder Control Effectiveness

Go Yawing Moment Coefficient = Yawing Moment with Rudder Deflection Angle*Rudder Deflection Angle

Yawing Moment given Rudder Deflection Formula

Yawing Moment Coefficient = Negative Yawing Moment/Dynamic Pressure at Wing*Wing Reference Area*Wingspan
C_n = N/Q_w*s*b

What is yawing moment?

Yawing moment, also known as yaw moment coefficient, refers to the turning force acting on an object about its vertical axis. This force tends to rotate the object around its vertical axis, causing it to yaw (turn left or right).

How to Calculate Yawing Moment given Rudder Deflection?

Yawing Moment given Rudder Deflection calculator uses Yawing Moment Coefficient = Negative Yawing Moment/Dynamic Pressure at Wing*Wing Reference Area*Wingspan to calculate the Yawing Moment Coefficient, The Yawing Moment given Rudder Deflection formula is defined as a ratio of negative yawing moment to the dynamic pressure multiplied by wing reference area and wing span. Yawing Moment Coefficient is denoted by C_n symbol.

How to calculate Yawing Moment given Rudder Deflection using this online calculator? To use this online calculator for Yawing Moment given Rudder Deflection, enter Negative Yawing Moment (N), Dynamic Pressure at Wing (Q_w), Wing Reference Area (s) & Wingspan (b) and hit the calculate button. Here is how the Yawing Moment given Rudder Deflection calculation can be explained with given input values -> 6.960556 = 11.5/90*8.5*6.7.

FAQ

What is Yawing Moment given Rudder Deflection?

The Yawing Moment given Rudder Deflection formula is defined as a ratio of negative yawing moment to the dynamic pressure multiplied by wing reference area and wing span and is represented as C_n = N/Q_w*s*b or Yawing Moment Coefficient = Negative Yawing Moment/Dynamic Pressure at Wing*Wing Reference Area*Wingspan. A Negative Yawing Moment is produced by positive sideslip, Dynamic Pressure at Wing Represents the kinetic energy per unit volume of air due to its motion, Wing Reference Area is the planform area, refers to the projected area of the wing, as if viewed directly from above & The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.

How to calculate Yawing Moment given Rudder Deflection?

The Yawing Moment given Rudder Deflection formula is defined as a ratio of negative yawing moment to the dynamic pressure multiplied by wing reference area and wing span is calculated using Yawing Moment Coefficient = Negative Yawing Moment/Dynamic Pressure at Wing*Wing Reference Area*Wingspan. To calculate Yawing Moment given Rudder Deflection, you need Negative Yawing Moment (N), Dynamic Pressure at Wing (Q_w), Wing Reference Area (s) & Wingspan (b). With our tool, you need to enter the respective value for Negative Yawing Moment, Dynamic Pressure at Wing, Wing Reference Area & Wingspan and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Yawing Moment Coefficient?

In this formula, Yawing Moment Coefficient uses Negative Yawing Moment, Dynamic Pressure at Wing, Wing Reference Area & Wingspan. We can use 2 other way(s) to calculate the same, which is/are as follows -

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 Angle
Yawing Moment Coefficient = Yawing Moment with Rudder Deflection Angle*Rudder Deflection Angle

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