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Turn rate Formula

GoRate of Turn 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 \frac{\sqrt{n^{2} - 1}}{V}

ω - Turn Rate?n - Load Factor?V - Flight Velocity?[g] - Gravitational acceleration on Earth?

Turn rate Example

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With units

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Here is how the Turn rate equation looks like with Values.

Here is how the Turn rate equation looks like with Units.

Here is how the Turn rate equation looks like.

1.3535 = 9.8066 \cdot \frac{\sqrt{{1.11}^{2} - 1}}{200}

1.3535degree/s = 9.8066m/s² \cdot \frac{\sqrt{{1.11}^{2} - 1}}{200m/s}

1.3535 = 9.8066 \cdot \frac{\sqrt{{1.11}^{2} - 1}}{200}

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Turn rate Solution

Follow our step by step solution on how to calculate Turn rate?

FIRST Step Consider the formula

ω = [g] \cdot \frac{\sqrt{n^{2} - 1}}{V}

Next Step Substitute values of Variables

∴

ω = [g] \cdot \frac{\sqrt{{1.11}^{2} - 1}}{200m/s}

Next Step Substitute values of Constants

∴

ω = 9.8066m/s² \cdot \frac{\sqrt{{1.11}^{2} - 1}}{200m/s}

Next Step Prepare to Evaluate

∴

ω = 9.8066 \cdot \frac{\sqrt{{1.11}^{2} - 1}}{200}

Next Step Evaluate

∴

ω = 0.0236226301340697rad/s

Next Step Convert to Output's Unit

∴

ω = 1.353477007681degree/s

LAST Step Rounding Answer

∴

ω = 1.3535degree/s

Turn rate 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

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 should be greater than 0.

Formulas to find Load Factor

Flight Velocity

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

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flight Velocity

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 Rate of Turn

ω = 1091 \cdot \frac{\tan (Φ)}{V}

Other formulas in Turning Flight category

Go Load Factor given Turn Rate

n = \sqrt{{(V \cdot \frac{ω}{[g]})}^{2} + 1}

Go Velocity for given turn rate

V = [g] \cdot \frac{\sqrt{n^{2} - 1}}{ω}

Go Load Factor given Turn Radius

n = \sqrt{1 + {(\frac{V^{2}}{[g] \cdot R})}^{2}}

Go Lift for given Load Factor

F L = n \cdot W

How to Evaluate Turn rate?

Turn rate evaluator uses Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity to evaluate the Turn Rate, Turn Rate is a measure of the angular velocity of an aircraft during a turn, calculated by considering the gravitational force, load factor, and velocity of the turning flight. Turn Rate is denoted by ω symbol.

How to evaluate Turn rate using this online evaluator? To use this online evaluator for Turn rate, enter Load Factor (n) & Flight Velocity (V) and hit the calculate button.

FAQs on Turn rate

What is the formula to find Turn rate?

The formula of Turn rate is expressed as Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity. Here is an example- 77.54852 = [g]*sqrt(1.11^2-1)/200.

How to calculate Turn rate?

With Load Factor (n) & Flight Velocity (V) we can find Turn rate using the formula - Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity. 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=1091*tan(Bank Angle)/Flight Velocity

Can the Turn rate be negative?

No, the Turn rate, measured in Angular Velocity cannot be negative.

Which unit is used to measure Turn rate?

Turn rate 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 can be measured.

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Turn rate Formula

​GoRate of Turn Formula

Turn rate Example

Turn rate Solution

Turn rate Formula Elements

Other Formulas to find Turn Rate

Other formulas in Turning Flight category

How to Evaluate Turn rate?

FAQs on Turn rate

Variable Name

GoRate of Turn Formula