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Velocity for given turn rate Formula

GoVelocity for given turn radius Formula

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

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

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

Velocity for given turn rate Example

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Here is how the Velocity for given turn rate equation looks like with Values.

Here is how the Velocity for given turn rate equation looks like with Units.

Here is how the Velocity for given turn rate equation looks like.

199.0407 = 9.8066 \cdot \frac{\sqrt{{1.11}^{2} - 1}}{1.36}

199.0407m/s = 9.8066m/s² \cdot \frac{\sqrt{{1.11}^{2} - 1}}{1.36degree/s}

199.0407 = 9.8066 \cdot \frac{\sqrt{{1.11}^{2} - 1}}{1.36}

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Velocity for given turn rate Solution

Follow our step by step solution on how to calculate Velocity for given turn rate?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = [g] \cdot \frac{\sqrt{{1.11}^{2} - 1}}{1.36degree/s}

Next Step Substitute values of Constants

∴

V = 9.8066m/s² \cdot \frac{\sqrt{{1.11}^{2} - 1}}{1.36degree/s}

Next Step Convert Units

∴

V = 9.8066m/s² \cdot \frac{\sqrt{{1.11}^{2} - 1}}{0.0237rad/s}

Next Step Prepare to Evaluate

∴

V = 9.8066 \cdot \frac{\sqrt{{1.11}^{2} - 1}}{0.0237}

Next Step Evaluate

∴

V = 199.040736423677m/s

LAST Step Rounding Answer

∴

V = 199.0407m/s

Velocity for given turn rate Formula Elements

Variables

Constants

Functions

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

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

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

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 Flight Velocity

Go Velocity for given turn radius

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

Other formulas in Turning Flight category

Go Load Factor given Turn Rate

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

Go Turn rate

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

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 Velocity for given turn rate?

Velocity for given turn rate evaluator uses Flight Velocity = [g]*sqrt(Load Factor^2-1)/Turn Rate to evaluate the Flight Velocity, Velocity for given turn rate is a measure of the speed of an aircraft during a turn, calculated based on the load factor, gravitational acceleration, and the rate of turn. Flight Velocity is denoted by V symbol.

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

FAQs on Velocity for given turn rate

What is the formula to find Velocity for given turn rate?

The formula of Velocity for given turn rate is expressed as Flight Velocity = [g]*sqrt(Load Factor^2-1)/Turn Rate. Here is an example- 200.5151 = [g]*sqrt(1.11^2-1)/0.0237364778271184.

How to calculate Velocity for given turn rate?

With Load Factor (n) & Turn Rate (ω) we can find Velocity for given turn rate using the formula - Flight Velocity = [g]*sqrt(Load Factor^2-1)/Turn Rate. This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Flight Velocity?

Here are the different ways to Calculate Flight Velocity-

Flight Velocity=sqrt(Turn Radius*[g]*(sqrt(Load Factor^2-1)))

Can the Velocity for given turn rate be negative?

No, the Velocity for given turn rate, measured in Speed cannot be negative.

Which unit is used to measure Velocity for given turn rate?

Velocity for given turn rate is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity for given turn rate can be measured.

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Velocity for given turn rate Formula

​GoVelocity for given turn radius Formula

Velocity for given turn rate Example

Velocity for given turn rate Solution

Velocity for given turn rate Formula Elements

Other Formulas to find Flight Velocity

Other formulas in Turning Flight category

How to Evaluate Velocity for given turn rate?

FAQs on Velocity for given turn rate

Variable Name

GoVelocity for given turn radius Formula