Change in Angle of Attack due to Upward Gust Solution

STEP 0: Pre-Calculation Summary
Formula Used
Change in Angle of Attack = tan(Gust Velocity/Flight Velocity)
Δα = tan(u/V)
This formula uses 1 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)
Variables Used
Change in Angle of Attack - (Measured in Radian) - Change in Angle of Attack is the change in angle caused due to gust, change in weather patterns, or altitude changes.
Gust Velocity - (Measured in Meter per Second) - Gust velocity is the velocity of the gust, occurs then there is a brief increase in the speed of the wind, usually less than 20 seconds.
Flight Velocity - (Measured in Meter per Second) - Flight Velocity is the velocity of aircraft where the air moves relative to the reference point at the airspeed.
STEP 1: Convert Input(s) to Base Unit
Gust Velocity: 8 Meter per Second --> 8 Meter per Second No Conversion Required
Flight Velocity: 34 Meter per Second --> 34 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δα = tan(u/V) --> tan(8/34)
Evaluating ... ...
Δα = 0.239734703180341
STEP 3: Convert Result to Output's Unit
0.239734703180341 Radian --> No Conversion Required
FINAL ANSWER
0.239734703180341 0.239735 Radian <-- Change in Angle of Attack
(Calculation completed in 00.020 seconds)

Credits

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Mahatma Gandhi Institute of Technology (MGIT), Hyderabad
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25 High Load Factor Maneuver Calculators

Turn rate for given lift coefficient
Go Turn Rate = [g]*(sqrt((Reference Area*Freestream density*Lift Coefficient*Load factor)/(2*Aircraft weight)))
Turn rate for given wing loading
Go Turn Rate = [g]*(sqrt(Freestream density*Lift Coefficient*Load factor/(2*Wing Loading)))
Lift Coefficient for given turn rate
Go Lift Coefficient = 2*Aircraft weight*(Turn Rate^2)/(([g]^2)*Freestream density*Load factor*Reference Area)
Lift Coefficient for given Turn Radius
Go Lift Coefficient = Aircraft weight/(0.5*Freestream density*Reference Area*[g]*Turn Radius)
Radius of turn for given lift coefficient
Go Turn Radius = 2*Aircraft weight/(Freestream density*Reference Area*[g]*Lift Coefficient)
Wing loading for given turn rate
Go Wing Loading = ([g]^2)*Freestream density*Lift Coefficient*Load factor/(2*(Turn Rate^2))
Lift Coefficient for given wing loading and turn radius
Go Lift Coefficient = 2*Wing Loading/(Freestream density*Turn Radius*[g])
Radius of turn for given wing loading
Go Turn Radius = 2*Wing Loading/(Freestream density*Lift Coefficient*[g])
Wing loading for given turn radius
Go Wing Loading = (Turn Radius*Freestream density*Lift Coefficient*[g])/2
Velocity for given pull-up maneuver radius
Go Velocity = sqrt(Turn Radius*[g]*(Load factor-1))
Velocity given Pull-down Maneuver Radius
Go Velocity = sqrt(Turn Radius*[g]*(Load factor+1))
Velocity given Turn Radius for High Load Factor
Go Velocity = sqrt(Turn Radius*Load factor*[g])
Change in Angle of Attack due to Upward Gust
Go Change in Angle of Attack = tan(Gust Velocity/Flight Velocity)
Load Factor given Pull-down Maneuver Radius
Go Load factor = ((Velocity^2)/(Turn Radius*[g]))-1
Load Factor given Pull-UP Maneuver Radius
Go Load factor = 1+((Velocity^2)/(Turn Radius*[g]))
Pull-down maneuver radius
Go Turn Radius = (Velocity^2)/([g]*(Load factor+1))
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Load factor for given turn radius for high-performance fighter aircraft
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Go Turn Radius = (Velocity^2)/([g]*Load factor)
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Load Factor given Pull-Up Maneuver Rate
Go Load factor = 1+(Velocity*Turn Rate/[g])
Pull-down maneuver rate
Go Turn Rate = [g]*(1+Load factor)/Velocity
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Go Turn Rate = [g]*(Load factor-1)/Velocity
Load factor for given turn rate for high-performance fighter aircraft
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Turn rate for high load factor
Go Turn Rate = [g]*Load factor/Velocity

Change in Angle of Attack due to Upward Gust Formula

Change in Angle of Attack = tan(Gust Velocity/Flight Velocity)
Δα = tan(u/V)

What are the types of Gusts?

In terms of the directionality of gust, there are three kinds of gust, i.e., vertical, lateral and head-on gusts.

How to Calculate Change in Angle of Attack due to Upward Gust?

Change in Angle of Attack due to Upward Gust calculator uses Change in Angle of Attack = tan(Gust Velocity/Flight Velocity) to calculate the Change in Angle of Attack, Change in Angle of Attack due to Upward Gust is explained as, if an aircraft encounters a sudden upward gust, the angle of attack (with respect to the airflow) will increase. This change of angle is calculated. Change in Angle of Attack is denoted by Δα symbol.

How to calculate Change in Angle of Attack due to Upward Gust using this online calculator? To use this online calculator for Change in Angle of Attack due to Upward Gust, enter Gust Velocity (u) & Flight Velocity (V) and hit the calculate button. Here is how the Change in Angle of Attack due to Upward Gust calculation can be explained with given input values -> 0.239735 = tan(8/34).

FAQ

What is Change in Angle of Attack due to Upward Gust?
Change in Angle of Attack due to Upward Gust is explained as, if an aircraft encounters a sudden upward gust, the angle of attack (with respect to the airflow) will increase. This change of angle is calculated and is represented as Δα = tan(u/V) or Change in Angle of Attack = tan(Gust Velocity/Flight Velocity). Gust velocity is the velocity of the gust, occurs then there is a brief increase in the speed of the wind, usually less than 20 seconds & Flight Velocity is the velocity of aircraft where the air moves relative to the reference point at the airspeed.
How to calculate Change in Angle of Attack due to Upward Gust?
Change in Angle of Attack due to Upward Gust is explained as, if an aircraft encounters a sudden upward gust, the angle of attack (with respect to the airflow) will increase. This change of angle is calculated is calculated using Change in Angle of Attack = tan(Gust Velocity/Flight Velocity). To calculate Change in Angle of Attack due to Upward Gust, you need Gust Velocity (u) & Flight Velocity (V). With our tool, you need to enter the respective value for Gust Velocity & Flight Velocity 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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