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Bank angle during level turn Formula

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

Φ = a \cos (\frac{W}{F L})

Φ - Bank Angle?W - Aircraft Weight?F_L - Lift Force?

Bank angle during level turn Example

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Here is how the Bank angle during level turn equation looks like with Values.

Here is how the Bank angle during level turn equation looks like with Units.

Here is how the Bank angle during level turn equation looks like.

0.451 = a \cos (\frac{18}{20})

0.451rad = a \cos (\frac{18N}{20N})

0.451 = a \cos (\frac{18}{20})

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Bank angle during level turn Solution

Follow our step by step solution on how to calculate Bank angle during level turn?

FIRST Step Consider the formula

Φ = a \cos (\frac{W}{F L})

Next Step Substitute values of Variables

∴

Φ = a \cos (\frac{18N}{20N})

Next Step Prepare to Evaluate

∴

Φ = a \cos (\frac{18}{20})

Next Step Evaluate

∴

Φ = 0.451026811796262rad

LAST Step Rounding Answer

∴

Φ = 0.451rad

Bank angle during level turn Formula Elements

Variables

Functions

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

Aircraft Weight

Aircraft Weight refers to the total mass of an aircraft, including its structure, payload, fuel, and passengers.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Aircraft Weight

Lift Force

Lift Force is the aerodynamic force exerted on an object, such as an aircraft wing, perpendicular to the oncoming airflow.

Symbol: F_L

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Lift Force

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

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 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}}

How to Evaluate Bank angle during level turn?

Bank angle during level turn evaluator uses Bank Angle = acos(Aircraft Weight/Lift Force) to evaluate the Bank Angle, Bank Angle during Level Turn is a measure of the angle at which an aircraft banks during a level turn, calculated as the inverse cosine of the ratio of the weight of the aircraft to the lift force during the turn. Bank Angle is denoted by Φ symbol.

How to evaluate Bank angle during level turn using this online evaluator? To use this online evaluator for Bank angle during level turn, enter Aircraft Weight (W) & Lift Force (F_L) and hit the calculate button.

FAQs on Bank angle during level turn

What is the formula to find Bank angle during level turn?

The formula of Bank angle during level turn is expressed as Bank Angle = acos(Aircraft Weight/Lift Force). Here is an example- 0.451027 = acos(18/20).

How to calculate Bank angle during level turn?

With Aircraft Weight (W) & Lift Force (F_L) we can find Bank angle during level turn using the formula - Bank Angle = acos(Aircraft Weight/Lift Force). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

Can the Bank angle during level turn be negative?

Yes, the Bank angle during level turn, measured in Angle can be negative.

Which unit is used to measure Bank angle during level turn?

Bank angle during level turn is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Bank angle during level turn can be measured.

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