FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Rate of Turn Formula

GoTurn rate Formula

Fx Copy

LaTeX Copy

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

ω = 1091 \cdot \frac{\tan (Φ)}{V}

ω - Turn Rate?Φ - Bank Angle?V - Flight Velocity?

Rate of Turn Example

With values

With units

Only example

Here is how the Rate of Turn equation looks like with Values.

Here is how the Rate of Turn equation looks like with Units.

Here is how the Rate of Turn equation looks like.

1.3556 = 1091 \cdot \frac{\tan (0.45)}{200}

1.3556degree/s = 1091 \cdot \frac{\tan (0.45rad)}{200m/s}

1.3556 = 1091 \cdot \frac{\tan (0.45)}{200}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Aerospace » Category

Aircraft Mechanics » fx Rate of Turn

Rate of Turn Solution

Follow our step by step solution on how to calculate Rate of Turn?

FIRST Step Consider the formula

ω = 1091 \cdot \frac{\tan (Φ)}{V}

Next Step Substitute values of Variables

∴

ω = 1091 \cdot \frac{\tan (0.45rad)}{200m/s}

Next Step Convert Units

∴

ω = 1091 \cdot \frac{\tan (0.45rad)}{388.7689kn}

Next Step Prepare to Evaluate

∴

ω = 1091 \cdot \frac{\tan (0.45)}{388.7689}

Next Step Evaluate

∴

ω = 0.0236595916578947rad/s

Next Step Convert to Output's Unit

∴

ω = 1.35559474700055degree/s

LAST Step Rounding Answer

∴

ω = 1.3556degree/s

Rate of Turn Formula Elements

Variables

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

Bank Angle

Bank Angle is the angle between the lift vector and the vertical axis during a level turn of the aircraft.

Symbol: Φ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Bank Angle

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

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Turn Rate

Go Turn rate

ω = [g] \cdot \frac{\sqrt{n^{2} - 1}}{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 Rate of Turn?

Rate of Turn evaluator uses Turn Rate = 1091*tan(Bank Angle)/Flight Velocity to evaluate the Turn Rate, Rate of Turn is a measure of an aircraft's rotation around its vertical axis during a turn, calculated by considering the banking angle and velocity of the aircraft during the turn. Turn Rate is denoted by ω symbol.

How to evaluate Rate of Turn using this online evaluator? To use this online evaluator for Rate of Turn, enter Bank Angle (Φ) & Flight Velocity (V) and hit the calculate button.

FAQs on Rate of Turn

What is the formula to find Rate of Turn?

The formula of Rate of Turn is expressed as Turn Rate = 1091*tan(Bank Angle)/Flight Velocity. Here is an example- 77.66986 = 1091*tan(0.45)/200.

How to calculate Rate of Turn?

With Bank Angle (Φ) & Flight Velocity (V) we can find Rate of Turn using the formula - Turn Rate = 1091*tan(Bank Angle)/Flight Velocity. This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Turn Rate?

Here are the different ways to Calculate Turn Rate-

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

Can the Rate of Turn be negative?

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

Which unit is used to measure Rate of Turn?

Rate of Turn 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 Rate of Turn can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!