Pull-up maneuver radius Calculator

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High Load Factor Maneuver

Pull Up and Pull Down Maneuver

✖Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity [v]			+10% -10%
✖Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.ⓘ Load factor [n]			+10% -10%

✖Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.ⓘ Pull-up maneuver radius [R]

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Formula

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Pull-up maneuver radius

Formula

`"R" = ("v"^2)/("[g]"*("n"-1))`

Example

`"1835.489m"=(("60m/s")^2)/("[g]"*("1.2"-1))`

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Pull-up maneuver radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turn Radius = (Velocity^2)/([g]*(Load factor-1))
R = (v^2)/([g]*(n-1))
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Turn Radius - (Measured in Meter) - Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Load factor - Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.

STEP 1: Convert Input(s) to Base Unit

Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Load factor: 1.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (v^2)/([g]*(n-1)) --> (60^2)/([g]*(1.2-1))

Evaluating ... ...

R = 1835.48918336027

STEP 3: Convert Result to Output's Unit

1835.48918336027 Meter --> No Conversion Required

FINAL ANSWER

1835.48918336027 ≈ 1835.489 Meter <-- Turn Radius

(Calculation completed in 00.004 seconds)

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Home » Physics » Aircraft Mechanics » Aircraft Performance » Maneuvering Flight » High Load Factor Maneuver » Pull-up maneuver radius

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 Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

< 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))

Pull-up maneuver radius

Go Turn Radius = (Velocity^2)/([g]*(Load factor-1))

Load factor for given turn radius for high-performance fighter aircraft

Go Load factor = (Velocity^2)/([g]*Turn Radius)

Turn radius for high load factor

Go Turn Radius = (Velocity^2)/([g]*Load factor)

Velocity for given pull-up maneuver rate

Go Velocity = [g]*(Load factor-1)/Turn Rate

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

Pull-up maneuver rate

Go Turn Rate = [g]*(Load factor-1)/Velocity

Load factor for given turn rate for high-performance fighter aircraft

Go Load factor = Velocity*Turn Rate/[g]

Turn rate for high load factor

Go Turn Rate = [g]*Load factor/Velocity

Pull-up maneuver radius Formula

Turn Radius = (Velocity^2)/([g]*(Load factor-1))
R = (v^2)/([g]*(n-1))

What is split S maneuver?

The Split S is an air combat maneuver mostly used to disengage from combat. To execute a Split S, the pilot half-rolls their aircraft inverted and executes a descending half-loop, resulting in level flight in the opposite direction at a lower altitude.

How to Calculate Pull-up maneuver radius?

Pull-up maneuver radius calculator uses Turn Radius = (Velocity^2)/([g]*(Load factor-1)) to calculate the Turn Radius, The Pull-up maneuver radius is a function of the velocity and load factor of the aircraft. Lift is greater than weight in this case. Turn Radius is denoted by R symbol.

How to calculate Pull-up maneuver radius using this online calculator? To use this online calculator for Pull-up maneuver radius, enter Velocity (v) & Load factor (n) and hit the calculate button. Here is how the Pull-up maneuver radius calculation can be explained with given input values -> 1835.489 = (60^2)/([g]*(1.2-1)).

FAQ

What is Pull-up maneuver radius?

The Pull-up maneuver radius is a function of the velocity and load factor of the aircraft. Lift is greater than weight in this case and is represented as R = (v^2)/([g]*(n-1)) or Turn Radius = (Velocity^2)/([g]*(Load factor-1)). Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time & Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.

How to calculate Pull-up maneuver radius?

The Pull-up maneuver radius is a function of the velocity and load factor of the aircraft. Lift is greater than weight in this case is calculated using Turn Radius = (Velocity^2)/([g]*(Load factor-1)). To calculate Pull-up maneuver radius, you need Velocity (v) & Load factor (n). With our tool, you need to enter the respective value for Velocity & Load factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Turn Radius?

In this formula, Turn Radius uses Velocity & Load factor. We can use 4 other way(s) to calculate the same, which is/are as follows -

Turn Radius = (Velocity^2)/([g]*Load factor)
Turn Radius = 2*Aircraft weight/(Freestream density*Reference Area*[g]*Lift Coefficient)
Turn Radius = 2*Wing Loading/(Freestream density*Lift Coefficient*[g])
Turn Radius = (Velocity^2)/([g]*(Load factor+1))

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