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Turn Rate for given Wing Loading Formula

GoTurn Rate for High Load Factor Formula

GoTurn Rate for given Lift Coefficient Formula

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Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second. Check FAQs

ω = [g] \cdot (\sqrt{ρ ∞ \cdot C L \cdot \frac{n}{2 \cdot W S}})

ω - Turn Rate?ρ_∞ - Freestream Density?C_L - Lift Coefficient?n - Load Factor?W_S - Wing Loading?[g] - Gravitational acceleration on Earth?

Turn Rate for given Wing Loading Example

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Here is how the Turn Rate for given Wing Loading equation looks like with Values.

Here is how the Turn Rate for given Wing Loading equation looks like with Units.

Here is how the Turn Rate for given Wing Loading equation looks like.

1.145 = 9.8066 \cdot (\sqrt{1.225 \cdot 0.002 \cdot \frac{1.2}{2 \cdot 354}})

1.145degree/s = 9.8066m/s² \cdot (\sqrt{1.225kg/m³ \cdot 0.002 \cdot \frac{1.2}{2 \cdot 354Pa}})

1.145 = 9.8066 \cdot (\sqrt{1.225 \cdot 0.002 \cdot \frac{1.2}{2 \cdot 354}})

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Turn Rate for given Wing Loading Solution

Follow our step by step solution on how to calculate Turn Rate for given Wing Loading?

FIRST Step Consider the formula

ω = [g] \cdot (\sqrt{ρ ∞ \cdot C L \cdot \frac{n}{2 \cdot W S}})

Next Step Substitute values of Variables

∴

ω = [g] \cdot (\sqrt{1.225kg/m³ \cdot 0.002 \cdot \frac{1.2}{2 \cdot 354Pa}})

Next Step Substitute values of Constants

∴

ω = 9.8066m/s² \cdot (\sqrt{1.225kg/m³ \cdot 0.002 \cdot \frac{1.2}{2 \cdot 354Pa}})

Next Step Prepare to Evaluate

∴

ω = 9.8066 \cdot (\sqrt{1.225 \cdot 0.002 \cdot \frac{1.2}{2 \cdot 354}})

Next Step Evaluate

∴

ω = 0.0199837833129818rad/s

Next Step Convert to Output's Unit

∴

ω = 1.14498644253804degree/s

LAST Step Rounding Answer

∴

ω = 1.145degree/s

Turn Rate for given Wing Loading Formula Elements

Variables

Constants

Functions

Turn Rate

Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second.

Symbol: ω

Measurement: Angular VelocityUnit: degree/s

Note: Value should be greater than 0.

Formulas to find Turn Rate

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

Lift Coefficient

The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.

Symbol: C_L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift Coefficient

Load Factor

Load Factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Load Factor

Wing Loading

Wing Loading is the loaded weight of the aircraft divided by the area of the wing.

Symbol: W_S

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Wing Loading

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Turn Rate

Go Turn Rate for High Load Factor

ω = [g] \cdot \frac{n}{v}

Go Turn Rate for given Lift Coefficient

ω = [g] \cdot (\sqrt{\frac{S \cdot ρ ∞ \cdot C L \cdot n}{2 \cdot W}})

Other formulas in High Load Factor Maneuver category

Go Turn radius for high load factor

R = \frac{v^{2}}{[g] \cdot n}

Go Velocity given Turn Radius for High Load Factor

v = \sqrt{R \cdot n \cdot [g]}

Go Load factor for given turn radius for high-performance fighter aircraft

n = \frac{v^{2}}{[g] \cdot R}

Go Load factor for given turn rate for high-performance fighter aircraft

n = v \cdot \frac{ω}{[g]}

How to Evaluate Turn Rate for given Wing Loading?

Turn Rate for given Wing Loading evaluator uses Turn Rate = [g]*(sqrt(Freestream Density*Lift Coefficient*Load Factor/(2*Wing Loading))) to evaluate the Turn Rate, The Turn Rate for given Wing Loading refers to the rate at which an aircraft can change its direction or turn, it's typically measured in degrees per second or radians per second; by combining these given factors, the formula approximates the turn rate, offering insight into the aircraft's maneuvering capabilities. Turn Rate is denoted by ω symbol.

How to evaluate Turn Rate for given Wing Loading using this online evaluator? To use this online evaluator for Turn Rate for given Wing Loading, enter Freestream Density (ρ_∞), Lift Coefficient (C_L), Load Factor (n) & Wing Loading (W_S) and hit the calculate button.

FAQs on Turn Rate for given Wing Loading

What is the formula to find Turn Rate for given Wing Loading?

The formula of Turn Rate for given Wing Loading is expressed as Turn Rate = [g]*(sqrt(Freestream Density*Lift Coefficient*Load Factor/(2*Wing Loading))). Here is an example- 65.32667 = [g]*(sqrt(1.225*0.002*1.2/(2*354))).

How to calculate Turn Rate for given Wing Loading?

With Freestream Density (ρ_∞), Lift Coefficient (C_L), Load Factor (n) & Wing Loading (W_S) we can find Turn Rate for given Wing Loading using the formula - Turn Rate = [g]*(sqrt(Freestream Density*Lift Coefficient*Load Factor/(2*Wing Loading))). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Turn Rate?

Here are the different ways to Calculate Turn Rate-

Turn Rate=[g]*Load Factor/Velocity
Turn Rate=[g]*(sqrt((Reference Area*Freestream Density*Lift Coefficient*Load Factor)/(2*Aircraft Weight)))

Can the Turn Rate for given Wing Loading be negative?

No, the Turn Rate for given Wing Loading, measured in Angular Velocity cannot be negative.

Which unit is used to measure Turn Rate for given Wing Loading?

Turn Rate for given Wing Loading is usually measured using the Degree per Second[degree/s] for Angular Velocity. Radian per Second[degree/s], Radian per Day[degree/s], Radian per Hour[degree/s] are the few other units in which Turn Rate for given Wing Loading can be measured.

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Turn Rate for given Wing Loading Formula

​GoTurn Rate for High Load Factor Formula

​GoTurn Rate for given Lift Coefficient Formula

Turn Rate for given Wing Loading Example

Turn Rate for given Wing Loading Solution

Turn Rate for given Wing Loading Formula Elements

Other Formulas to find Turn Rate

Other formulas in High Load Factor Maneuver category

How to Evaluate Turn Rate for given Wing Loading?

FAQs on Turn Rate for given Wing Loading

Variable Name

GoTurn Rate for High Load Factor Formula

GoTurn Rate for given Lift Coefficient Formula