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Turn Rate for given Lift Coefficient Formula

GoTurn Rate for High Load Factor Formula

GoTurn Rate for given Wing Loading 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{\frac{S \cdot ρ ∞ \cdot C L \cdot n}{2 \cdot W}})

ω - Turn Rate?S - Reference Area?ρ_∞ - Freestream Density?C_L - Lift Coefficient?n - Load Factor?W - Aircraft Weight?[g] - Gravitational acceleration on Earth?

Turn Rate for given Lift Coefficient Example

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Here is how the Turn Rate for given Lift Coefficient equation looks like with Values.

Here is how the Turn Rate for given Lift Coefficient equation looks like with Units.

Here is how the Turn Rate for given Lift Coefficient equation looks like.

1.1445 = 9.8066 \cdot (\sqrt{\frac{5.08 \cdot 1.225 \cdot 0.002 \cdot 1.2}{2 \cdot 1800}})

1.1445degree/s = 9.8066m/s² \cdot (\sqrt{\frac{5.08m² \cdot 1.225kg/m³ \cdot 0.002 \cdot 1.2}{2 \cdot 1800N}})

1.1445 = 9.8066 \cdot (\sqrt{\frac{5.08 \cdot 1.225 \cdot 0.002 \cdot 1.2}{2 \cdot 1800}})

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Turn Rate for given Lift Coefficient Solution

Follow our step by step solution on how to calculate Turn Rate for given Lift Coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ω = [g] \cdot (\sqrt{\frac{5.08m² \cdot 1.225kg/m³ \cdot 0.002 \cdot 1.2}{2 \cdot 1800N}})

Next Step Substitute values of Constants

∴

ω = 9.8066m/s² \cdot (\sqrt{\frac{5.08m² \cdot 1.225kg/m³ \cdot 0.002 \cdot 1.2}{2 \cdot 1800N}})

Next Step Prepare to Evaluate

∴

ω = 9.8066 \cdot (\sqrt{\frac{5.08 \cdot 1.225 \cdot 0.002 \cdot 1.2}{2 \cdot 1800}})

Next Step Evaluate

∴

ω = 0.0199744553704078rad/s

Next Step Convert to Output's Unit

∴

ω = 1.144451990797degree/s

LAST Step Rounding Answer

∴

ω = 1.1445degree/s

Turn Rate for given Lift Coefficient 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

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

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

Aircraft Weight

Aircraft Weight is the total aircraft weight at any moment during the flight or ground operation.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Aircraft Weight

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 Wing Loading

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

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 Lift Coefficient?

Turn Rate for given Lift Coefficient evaluator uses Turn Rate = [g]*(sqrt((Reference Area*Freestream Density*Lift Coefficient*Load Factor)/(2*Aircraft Weight))) to evaluate the Turn Rate, Turn Rate for given Lift Coefficient formula is defined as a measure of the aircraft's ability to change direction during flight, influenced by lift, weight, and aerodynamic properties, crucial for assessing maneuverability in high load factor conditions. Turn Rate is denoted by ω symbol.

How to evaluate Turn Rate for given Lift Coefficient using this online evaluator? To use this online evaluator for Turn Rate for given Lift Coefficient, enter Reference Area (S), Freestream Density (ρ_∞), Lift Coefficient (C_L), Load Factor (n) & Aircraft Weight (W) and hit the calculate button.

FAQs on Turn Rate for given Lift Coefficient

What is the formula to find Turn Rate for given Lift Coefficient?

The formula of Turn Rate for given Lift Coefficient is expressed as Turn Rate = [g]*(sqrt((Reference Area*Freestream Density*Lift Coefficient*Load Factor)/(2*Aircraft Weight))). Here is an example- 65.57227 = [g]*(sqrt((5.08*1.225*0.002*1.2)/(2*1800))).

How to calculate Turn Rate for given Lift Coefficient?

With Reference Area (S), Freestream Density (ρ_∞), Lift Coefficient (C_L), Load Factor (n) & Aircraft Weight (W) we can find Turn Rate for given Lift Coefficient using the formula - Turn Rate = [g]*(sqrt((Reference Area*Freestream Density*Lift Coefficient*Load Factor)/(2*Aircraft Weight))). 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(Freestream Density*Lift Coefficient*Load Factor/(2*Wing Loading)))

Can the Turn Rate for given Lift Coefficient be negative?

No, the Turn Rate for given Lift Coefficient, measured in Angular Velocity cannot be negative.

Which unit is used to measure Turn Rate for given Lift Coefficient?

Turn Rate for given Lift Coefficient 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 Lift Coefficient can be measured.

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Turn Rate for given Lift Coefficient Formula

​GoTurn Rate for High Load Factor Formula

​GoTurn Rate for given Wing Loading Formula

Turn Rate for given Lift Coefficient Example

Turn Rate for given Lift Coefficient Solution

Turn Rate for given Lift Coefficient Formula Elements

Other Formulas to find Turn Rate

Other formulas in High Load Factor Maneuver category

How to Evaluate Turn Rate for given Lift Coefficient?

FAQs on Turn Rate for given Lift Coefficient

Variable Name

GoTurn Rate for High Load Factor Formula

GoTurn Rate for given Wing Loading Formula