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)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
Verified by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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18 Aircraft Dynamics Nomenclature Calculators

Sideslip angle
Go Sideslip Angle = asin(Velocity along pitch axis/(sqrt((Velocity along Roll Axis^2)+(Velocity along pitch axis^2)+(Velocity along yaw axis^2))))
Mean Aerodynamic Chord for Propeller-Driven Airplane
Go Mean aerodynamic chord = (1/Reference Area)*int(Chord Length^2,x,-Wingspan/2,Wingspan/2)
Pitching moment coefficient
Go Pitching moment coefficient = Pitching moment/(Dynamic Pressure*Reference Area*Characteristic length)
Rolling moment coefficient
Go Rolling moment coefficient = Rolling moment/(Dynamic Pressure*Reference Area*Characteristic length)
Yawing moment coefficient
Go Yawing Moment Coefficient = Yawing Moment/(Dynamic Pressure*Reference Area*Characteristic length)
Pitching moment
Go Pitching moment = Pitching moment coefficient*Dynamic Pressure*Reference Area*Characteristic length
Rolling moment
Go Rolling moment = Rolling moment coefficient*Dynamic Pressure*Reference Area*Characteristic length
Yawing moment
Go Yawing Moment = Yawing Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic length
Normal force coefficient with aerodynamic normal force
Go Normal force coefficient = Aerodynamic Normal Force/(Dynamic Pressure*Reference Area)
Aerodynamic normal force
Go Aerodynamic Normal Force = Normal force coefficient*Dynamic Pressure*Reference Area
Aerodynamic axial force
Go Aerodynamic Axial Force = Axial force coefficient*Dynamic Pressure*Reference Area
Side force coefficient
Go Side force coefficient = Aerodynamic Side Force/(Dynamic Pressure*Reference Area)
Aerodynamic side force
Go Aerodynamic Side Force = Side force coefficient*Dynamic Pressure*Reference Area
Angle of attack
Go Angle of Attack = atan(Velocity along yaw axis/Velocity along Roll Axis)
Velocity along pitch axis for small sideslip angle
Go Velocity along pitch axis = Sideslip Angle*Velocity along Roll Axis
Velocity along roll axis for small sideslip angle
Go Velocity along Roll Axis = Velocity along pitch axis/Sideslip Angle
Velocity along roll axis for small angle of attack
Go Velocity along Roll Axis = Velocity along yaw axis/Angle of Attack
Velocity along yaw axis for small angle of attack
Go Velocity along yaw axis = Velocity along Roll Axis*Angle of Attack

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, The 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 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?
The 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 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?
The 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 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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