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Tail Pitching Moment for given Lift Coefficient Formula

GoPitching Moment due to Tail Formula

GoTail Pitching Moment for given Moment Coefficient Formula

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Pitching Moment due to Tail is the pitching moment of the tail about the aircraft's center of gravity. Check FAQs

M t = - \frac{𝒍 t \cdot CT lift \cdot ρ ∞ \cdot {V tail}^{2} \cdot S t}{2}

M_t - Pitching Moment due to Tail?𝒍_t - Horizontal Tail Moment Arm?CT_lift - Tail Lift Coefficient?ρ_∞ - Freestream Density?V_tail - Velocity Tail?S_t - Horizontal Tail Area?

Tail Pitching Moment for given Lift Coefficient Example

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Here is how the Tail Pitching Moment for given Lift Coefficient equation looks like with Values.

Here is how the Tail Pitching Moment for given Lift Coefficient equation looks like with Units.

Here is how the Tail Pitching Moment for given Lift Coefficient equation looks like.

-218.6645 = - \frac{0.8015 \cdot 0.3 \cdot 1.225 \cdot {28.72}^{2} \cdot 1.8}{2}

-218.6645N*m = - \frac{0.8015m \cdot 0.3 \cdot 1.225kg/m³ \cdot {28.72m/s}^{2} \cdot 1.8m²}{2}

-218.6645 = - \frac{0.8015 \cdot 0.3 \cdot 1.225 \cdot {28.72}^{2} \cdot 1.8}{2}

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Tail Pitching Moment for given Lift Coefficient Solution

Follow our step by step solution on how to calculate Tail Pitching Moment for given Lift Coefficient?

FIRST Step Consider the formula

M t = - \frac{𝒍 t \cdot CT lift \cdot ρ ∞ \cdot {V tail}^{2} \cdot S t}{2}

Next Step Substitute values of Variables

∴

M t = - \frac{0.8015m \cdot 0.3 \cdot 1.225kg/m³ \cdot {28.72m/s}^{2} \cdot 1.8m²}{2}

Next Step Prepare to Evaluate

∴

M t = - \frac{0.8015 \cdot 0.3 \cdot 1.225 \cdot {28.72}^{2} \cdot 1.8}{2}

Next Step Evaluate

∴

M t = -218.664464559509N*m

LAST Step Rounding Answer

∴

M t = -218.6645N*m

Tail Pitching Moment for given Lift Coefficient Formula Elements

Variables

Pitching Moment due to Tail

Pitching Moment due to Tail is the pitching moment of the tail about the aircraft's center of gravity.

Symbol: M_t

Measurement: Moment of ForceUnit: N*m

Note: Value can be positive or negative.

Formulas to find Pitching Moment due to Tail

Horizontal Tail Moment Arm

The Horizontal Tail Moment Arm is the distance between the lift center of the horizontal tail and the center of gravity of the aircraft.

Symbol: 𝒍_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Horizontal Tail Moment Arm

Tail Lift Coefficient

Tail Lift Coefficient is the lift coefficient associated with the tail (only) of an aircraft. It is a dimensionless quantity.

Symbol: CT_lift

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Tail Lift Coefficient

Freestream Density

Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.

Symbol: ρ_∞

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Freestream Density

Velocity Tail

Velocity Tail refers to the airspeed or velocity of the horizontal stabilizer (tail) of an aircraft relative to the surrounding air (relative wind).

Symbol: V_tail

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity Tail

Horizontal Tail Area

The Horizontal Tail Area is the surface area of the horizontal stabilizer on an aircraft, which provides pitch stability and control.

Symbol: S_t

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Horizontal Tail Area

Other Formulas to find Pitching Moment due to Tail

Go Pitching Moment due to Tail

M t = - 𝒍 t \cdot L t

Go Tail Pitching Moment for given Moment Coefficient

M t = \frac{Cm t \cdot ρ ∞ \cdot V^{2} \cdot S \cdot c ma}{2}

Other formulas in Tail Contribution category

Go Tail Lift for given Tail Pitching Moment

L t = - (\frac{M t}{𝒍 t})

Go Mean Aerodynamic Chord for given Tail Pitching Moment Coefficient

c ma = \frac{M t}{0.5 \cdot ρ ∞ \cdot V^{2} \cdot S \cdot Cm t}

Go Tail Pitching Moment Coefficient

Cm t = \frac{M t}{0.5 \cdot ρ ∞ \cdot V^{2} \cdot S \cdot c ma}

Go Tail Pitching Moment Coefficient for given Tail Efficiency

Cm t = - \frac{η \cdot S t \cdot 𝒍 t \cdot CT lift}{S \cdot c ma}

How to Evaluate Tail Pitching Moment for given Lift Coefficient?

Tail Pitching Moment for given Lift Coefficient evaluator uses Pitching Moment due to Tail = -(Horizontal Tail Moment Arm*Tail Lift Coefficient*Freestream Density*Velocity Tail^2*Horizontal Tail Area)/2 to evaluate the Pitching Moment due to Tail, Tail Pitching Moment for given Lift Coefficient is a measure of the rotational force around the lateral axis of an aircraft's tail section, calculated by considering the horizontal tail moment arm, lift coefficient, freestream density, tail velocity, and horizontal tail area, providing a crucial parameter in aircraft design and stability analysis. Pitching Moment due to Tail is denoted by M_t symbol.

How to evaluate Tail Pitching Moment for given Lift Coefficient using this online evaluator? To use this online evaluator for Tail Pitching Moment for given Lift Coefficient, enter Horizontal Tail Moment Arm (𝒍_t), Tail Lift Coefficient (CT_lift), Freestream Density (ρ_∞), Velocity Tail (V_tail) & Horizontal Tail Area (S_t) and hit the calculate button.

FAQs on Tail Pitching Moment for given Lift Coefficient

What is the formula to find Tail Pitching Moment for given Lift Coefficient?

The formula of Tail Pitching Moment for given Lift Coefficient is expressed as Pitching Moment due to Tail = -(Horizontal Tail Moment Arm*Tail Lift Coefficient*Freestream Density*Velocity Tail^2*Horizontal Tail Area)/2. Here is an example- -218.664465 = -(0.801511*0.3*1.225*28.72^2*1.8)/2.

How to calculate Tail Pitching Moment for given Lift Coefficient?

With Horizontal Tail Moment Arm (𝒍_t), Tail Lift Coefficient (CT_lift), Freestream Density (ρ_∞), Velocity Tail (V_tail) & Horizontal Tail Area (S_t) we can find Tail Pitching Moment for given Lift Coefficient using the formula - Pitching Moment due to Tail = -(Horizontal Tail Moment Arm*Tail Lift Coefficient*Freestream Density*Velocity Tail^2*Horizontal Tail Area)/2.

What are the other ways to Calculate Pitching Moment due to Tail?

Here are the different ways to Calculate Pitching Moment due to Tail-

Pitching Moment due to Tail=-Horizontal Tail Moment Arm*Lift due to Tail
Pitching Moment due to Tail=(Tail Pitching Moment Coefficient*Freestream Density*Flight Velocity^2*Reference Area*Mean Aerodynamic Chord)/2

Can the Tail Pitching Moment for given Lift Coefficient be negative?

Yes, the Tail Pitching Moment for given Lift Coefficient, measured in Moment of Force can be negative.

Which unit is used to measure Tail Pitching Moment for given Lift Coefficient?

Tail Pitching Moment for given Lift Coefficient is usually measured using the Newton Meter[N*m] for Moment of Force. Kilonewton Meter[N*m], Millinewton Meter[N*m], Micronewton Meter[N*m] are the few other units in which Tail Pitching Moment for given Lift Coefficient can be measured.

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Tail Pitching Moment for given Lift Coefficient Formula

​GoPitching Moment due to Tail Formula

​GoTail Pitching Moment for given Moment Coefficient Formula

Tail Pitching Moment for given Lift Coefficient Example

Tail Pitching Moment for given Lift Coefficient Solution

Tail Pitching Moment for given Lift Coefficient Formula Elements

Other Formulas to find Pitching Moment due to Tail

Other formulas in Tail Contribution category

How to Evaluate Tail Pitching Moment for given Lift Coefficient?

FAQs on Tail Pitching Moment for given Lift Coefficient

Variable Name

GoPitching Moment due to Tail Formula

GoTail Pitching Moment for given Moment Coefficient Formula