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Pitching Moment due to Tail Formula

GoTail Pitching Moment for given Lift Coefficient 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 = - 𝒍 t \cdot L t

M_t - Pitching Moment due to Tail?𝒍_t - Horizontal Tail Moment Arm?L_t - Lift due to Tail?

Pitching Moment due to Tail Example

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Here is how the Pitching Moment due to Tail equation looks like with Values.

Here is how the Pitching Moment due to Tail equation looks like with Units.

Here is how the Pitching Moment due to Tail equation looks like.

-218.8446 = - 0.8015 \cdot 273.04

-218.8446N*m = - 0.8015m \cdot 273.04N

-218.8446 = - 0.8015 \cdot 273.04

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Pitching Moment due to Tail Solution

Follow our step by step solution on how to calculate Pitching Moment due to Tail?

FIRST Step Consider the formula

M t = - 𝒍 t \cdot L t

Next Step Substitute values of Variables

∴

M t = - 0.8015m \cdot 273.04N

Next Step Prepare to Evaluate

∴

M t = - 0.8015 \cdot 273.04

Next Step Evaluate

∴

M t = -218.84456344N*m

LAST Step Rounding Answer

∴

M t = -218.8446N*m

Pitching Moment due to Tail 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

Lift due to Tail

Lift due to Tail refers to the aerodynamic force generated by the horizontal stabilizer of an aircraft.

Symbol: L_t

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Lift due to Tail

Other Formulas to find Pitching Moment due to Tail

Go Tail Pitching Moment for given Lift Coefficient

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

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 Pitching Moment due to Tail?

Pitching Moment due to Tail evaluator uses Pitching Moment due to Tail = -Horizontal Tail Moment Arm*Lift due to Tail to evaluate the Pitching Moment due to Tail, Pitching Moment due to Tail is a measure of the rotational force that tends to pitch the aircraft nose up or down, calculated as the product of the horizontal tail moment arm and the lift force of the tail, influencing the stability and control of the aircraft during flight. Pitching Moment due to Tail is denoted by M_t symbol.

How to evaluate Pitching Moment due to Tail using this online evaluator? To use this online evaluator for Pitching Moment due to Tail, enter Horizontal Tail Moment Arm (𝒍_t) & Lift due to Tail (L_t) and hit the calculate button.

FAQs on Pitching Moment due to Tail

What is the formula to find Pitching Moment due to Tail?

The formula of Pitching Moment due to Tail is expressed as Pitching Moment due to Tail = -Horizontal Tail Moment Arm*Lift due to Tail. Here is an example- -218.844563 = -0.801511*273.04.

How to calculate Pitching Moment due to Tail?

With Horizontal Tail Moment Arm (𝒍_t) & Lift due to Tail (L_t) we can find Pitching Moment due to Tail using the formula - Pitching Moment due to Tail = -Horizontal Tail Moment Arm*Lift due to Tail.

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

Can the Pitching Moment due to Tail be negative?

Yes, the Pitching Moment due to Tail, measured in Moment of Force can be negative.

Which unit is used to measure Pitching Moment due to Tail?

Pitching Moment due to Tail 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 Pitching Moment due to Tail can be measured.

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Pitching Moment due to Tail Formula

​GoTail Pitching Moment for given Lift Coefficient Formula

​GoTail Pitching Moment for given Moment Coefficient Formula

Pitching Moment due to Tail Example

Pitching Moment due to Tail Solution

Pitching Moment due to Tail Formula Elements

Other Formulas to find Pitching Moment due to Tail

Other formulas in Tail Contribution category

How to Evaluate Pitching Moment due to Tail?

FAQs on Pitching Moment due to Tail

Variable Name

GoTail Pitching Moment for given Lift Coefficient Formula

GoTail Pitching Moment for given Moment Coefficient Formula