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Tail Pitching Moment for given Moment Coefficient Formula

GoTail Pitching Moment for given Lift Coefficient Formula

GoPitching Moment due to Tail 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{Cm t \cdot ρ ∞ \cdot V^{2} \cdot S \cdot c ma}{2}

M_t - Pitching Moment due to Tail?Cm_t - Tail Pitching Moment Coefficient?ρ_∞ - Freestream Density?V - Flight Velocity?S - Reference Area?c_ma - Mean Aerodynamic Chord?

Tail Pitching Moment for given Moment Coefficient Example

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

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

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

-218.4273 = \frac{-0.39 \cdot 1.225 \cdot 30^{2} \cdot 5.08 \cdot 0.2}{2}

-218.4273N*m = \frac{-0.39 \cdot 1.225kg/m³ \cdot {30m/s}^{2} \cdot 5.08m² \cdot 0.2m}{2}

-218.4273 = \frac{-0.39 \cdot 1.225 \cdot 30^{2} \cdot 5.08 \cdot 0.2}{2}

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Tail Pitching Moment for given Moment Coefficient Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M t = \frac{-0.39 \cdot 1.225kg/m³ \cdot {30m/s}^{2} \cdot 5.08m² \cdot 0.2m}{2}

Next Step Prepare to Evaluate

∴

M t = \frac{-0.39 \cdot 1.225 \cdot 30^{2} \cdot 5.08 \cdot 0.2}{2}

LAST Step Evaluate

∴

M t = -218.4273N*m

Tail Pitching Moment for given Moment 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

Tail Pitching Moment Coefficient

Tail Pitching Moment Coefficient is the coefficient of pitching moment associated with the horizontal tail of an aircraft.

Symbol: Cm_t

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Tail Pitching Moment 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

Flight Velocity

Flight Velocity refers to the speed at which an aircraft moves through the air.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flight Velocity

Reference Area

The Reference Area is arbitrarily an area that is characteristic of the object being considered. For an aircraft wing, the wing's planform area is called the reference wing area or simply wing area.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Reference Area

Mean Aerodynamic Chord

The Mean Aerodynamic Chord is a two-dimensional representation of the whole wing.

Symbol: c_ma

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Aerodynamic Chord

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 Pitching Moment due to Tail

M t = - 𝒍 t \cdot L t

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 Moment Coefficient?

Tail Pitching Moment for given Moment Coefficient evaluator uses Pitching Moment due to Tail = (Tail Pitching Moment Coefficient*Freestream Density*Flight Velocity^2*Reference Area*Mean Aerodynamic Chord)/2 to evaluate the Pitching Moment due to Tail, Tail Pitching Moment for given Moment Coefficient is a measure of the rotational force around the lateral axis of an aircraft's tail, calculated by considering the tail pitching moment coefficient, freestream density, velocity, reference area, and mean aerodynamic chord, providing a vital parameter for aircraft stability and control analysis. Pitching Moment due to Tail is denoted by M_t symbol.

How to evaluate Tail Pitching Moment for given Moment Coefficient using this online evaluator? To use this online evaluator for Tail Pitching Moment for given Moment Coefficient, enter Tail Pitching Moment Coefficient (Cm_t), Freestream Density (ρ_∞), Flight Velocity (V), Reference Area (S) & Mean Aerodynamic Chord (c_ma) and hit the calculate button.

FAQs on Tail Pitching Moment for given Moment Coefficient

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

The formula of Tail Pitching Moment for given Moment Coefficient is expressed as Pitching Moment due to Tail = (Tail Pitching Moment Coefficient*Freestream Density*Flight Velocity^2*Reference Area*Mean Aerodynamic Chord)/2. Here is an example- -218.4273 = ((-0.39)*1.225*30^2*5.08*0.2)/2.

How to calculate Tail Pitching Moment for given Moment Coefficient?

With Tail Pitching Moment Coefficient (Cm_t), Freestream Density (ρ_∞), Flight Velocity (V), Reference Area (S) & Mean Aerodynamic Chord (c_ma) we can find Tail Pitching Moment for given Moment Coefficient using the formula - Pitching Moment due to Tail = (Tail Pitching Moment Coefficient*Freestream Density*Flight Velocity^2*Reference Area*Mean Aerodynamic Chord)/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*Tail Lift Coefficient*Freestream Density*Velocity Tail^2*Horizontal Tail Area)/2
Pitching Moment due to Tail=-Horizontal Tail Moment Arm*Lift due to Tail

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

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

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

Tail Pitching Moment for given Moment 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 Moment Coefficient can be measured.

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: Value
: Unit

Tail Pitching Moment for given Moment Coefficient Formula

​GoTail Pitching Moment for given Lift Coefficient Formula

​GoPitching Moment due to Tail Formula

Tail Pitching Moment for given Moment Coefficient Example

Tail Pitching Moment for given Moment Coefficient Solution

Tail Pitching Moment for given Moment 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 Moment Coefficient?

FAQs on Tail Pitching Moment for given Moment Coefficient

Variable Name

GoTail Pitching Moment for given Lift Coefficient Formula

GoPitching Moment due to Tail Formula