Angle of attack Calculator

✖Velocity Along Yaw Axis is the component of velocity along the yaw axis of the aircraft.ⓘ Velocity Along Yaw Axis [w]			+10% -10%
✖Velocity Along Roll Axis is the component of velocity along the roll axis of the aircraft.ⓘ Velocity Along Roll Axis [u]			+10% -10%

✖Angle of Attack is the angle between a reference line on a body and the vector representing the relative motion between the body and the fluid through which it is moving.ⓘ Angle of attack [α]

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Formula

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Angle of attack

Formula

α = a \tan (\frac{w}{u})

Example

1.347887 ° = a \tan (\frac{0.4 m/s}{17 m/s})

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Angle of attack Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Attack = atan(Velocity Along Yaw Axis/Velocity Along Roll Axis)
α = atan(w/u)
This formula uses 2 Functions, 3 Variables

Functions Used

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., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Angle of Attack - (Measured in Radian) - Angle of Attack is the angle between a reference line on a body and the vector representing the relative motion between the body and the fluid through which it is moving.
Velocity Along Yaw Axis - (Measured in Meter per Second) - Velocity Along Yaw Axis is the component of velocity along the yaw axis of the aircraft.
Velocity Along Roll Axis - (Measured in Meter per Second) - Velocity Along Roll Axis is the component of velocity along the roll axis of the aircraft.

STEP 1: Convert Input(s) to Base Unit

Velocity Along Yaw Axis: 0.4 Meter per Second --> 0.4 Meter per Second No Conversion Required
Velocity Along Roll Axis: 17 Meter per Second --> 17 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = atan(w/u) --> atan(0.4/17)

Evaluating ... ...

α = 0.0235250709852169

STEP 3: Convert Result to Output's Unit

0.0235250709852169 Radian -->1.34788728019885 Degree (Check conversion here)

FINAL ANSWER

1.34788728019885 ≈ 1.347887 Degree <-- Angle of Attack

(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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Indian Institute of Technology (IIT), Bombay

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< Aircraft Dynamics Nomenclature Calculators

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Angle of attack Formula

Angle of Attack = atan(Velocity Along Yaw Axis/Velocity Along Roll Axis)
α = atan(w/u)

Where is the angle of attack sensor located?

Since the sensors are located near the nose and the air data probes, certain conditions, such as radome damage or loss, may cause erroneous measurement of the angle of attack and airspeed.

How to Calculate Angle of attack?

Angle of attack calculator uses Angle of Attack = atan(Velocity Along Yaw Axis/Velocity Along Roll Axis) to calculate the Angle of Attack, Angle of Attack is a measure of the angle between the oncoming airflow and the direction of motion of an object, such as an airfoil or wing, which affects the lift and drag forces acting on the object. Angle of Attack is denoted by α symbol.

How to calculate Angle of attack using this online calculator? To use this online calculator for Angle of attack, enter Velocity Along Yaw Axis (w) & Velocity Along Roll Axis (u) and hit the calculate button. Here is how the Angle of attack calculation can be explained with given input values -> 77.22825 = atan(0.4/17).

FAQ

What is Angle of attack?

Angle of Attack is a measure of the angle between the oncoming airflow and the direction of motion of an object, such as an airfoil or wing, which affects the lift and drag forces acting on the object and is represented as α = atan(w/u) or Angle of Attack = atan(Velocity Along Yaw Axis/Velocity Along Roll Axis). Velocity Along Yaw Axis is the component of velocity along the yaw axis of the aircraft & Velocity Along Roll Axis is the component of velocity along the roll axis of the aircraft.

How to calculate Angle of attack?

Angle of Attack is a measure of the angle between the oncoming airflow and the direction of motion of an object, such as an airfoil or wing, which affects the lift and drag forces acting on the object is calculated using Angle of Attack = atan(Velocity Along Yaw Axis/Velocity Along Roll Axis). To calculate Angle of attack, you need Velocity Along Yaw Axis (w) & Velocity Along Roll Axis (u). With our tool, you need to enter the respective value for Velocity Along Yaw Axis & Velocity Along Roll Axis and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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