Velocity for given turn radius Calculator

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✖Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.ⓘ Turn Radius [R]			+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%

✖Flight Velocity refers to the speed at which an aircraft moves through the air.ⓘ Velocity for given turn radius [V]

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Formula

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Velocity for given turn radius

Formula

`"V" = sqrt("R"*"[g]"*(sqrt("n"^2-1)))`

Example

`"200m/s"=sqrt("8466.46m"*"[g]"*(sqrt(("1.11")^2-1)))`

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Velocity for given turn radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flight Velocity = sqrt(Turn Radius*[g]*(sqrt(Load Factor^2-1)))
V = sqrt(R*[g]*(sqrt(n^2-1)))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Flight Velocity - (Measured in Meter per Second) - Flight Velocity refers to the speed at which an aircraft moves through the air.
Turn Radius - (Measured in Meter) - Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.
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

Turn Radius: 8466.46 Meter --> 8466.46 Meter No Conversion Required
Load Factor: 1.11 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt(R*[g]*(sqrt(n^2-1))) --> sqrt(8466.46*[g]*(sqrt(1.11^2-1)))

Evaluating ... ...

V = 200.000026562446

STEP 3: Convert Result to Output's Unit

200.000026562446 Meter per Second --> No Conversion Required

FINAL ANSWER

200.000026562446 ≈ 200 Meter per Second <-- Flight Velocity

(Calculation completed in 00.004 seconds)

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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

Shikha Maurya has verified this Calculator and 200+ more calculators!

< 13 Turning Flight Calculators

Velocity for given turn radius

Go Flight Velocity = sqrt(Turn Radius*[g]*(sqrt(Load Factor^2-1)))

Load Factor given Turn Radius

Go Load Factor = sqrt(1+(Flight Velocity^2/([g]*Turn Radius))^2)

Turn radius

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

Load Factor given Turn Rate

Go Load Factor = sqrt((Flight Velocity*Turn Rate/[g])^2+1)

Velocity for given turn rate

Go Flight Velocity = [g]*sqrt(Load Factor^2-1)/Turn Rate

Turn rate

Go Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity

Rate of Turn

Go Turn Rate = 1091*tan(Bank angle)/Flight Velocity

Bank angle during level turn

Go Bank angle = acos(Aircraft Weight/Lift Force)

Weight of aircraft during level turn

Go Aircraft Weight = Lift Force*cos(Bank angle)

Lift during level turn

Go Lift Force = Aircraft Weight/cos(Bank angle)

Load factor given Lift Force and Weight of Aircraft

Go Load Factor = Lift Force/Aircraft Weight

Weight for given Load Factor

Go Aircraft Weight = Lift Force/Load Factor

Lift for given load factor

Go Lift Force = Load Factor*Aircraft Weight

Velocity for given turn radius Formula

Flight Velocity = sqrt(Turn Radius*[g]*(sqrt(Load Factor^2-1)))
V = sqrt(R*[g]*(sqrt(n^2-1)))

What is Jinking in a fighter jet?

This maneuver is the sudden, rapid displacement of the aircraft's flight path in three axes. This is. used to confuse the enemy and prevent them from getting the right tracking solution.

How to Calculate Velocity for given turn radius?

Velocity for given turn radius calculator uses Flight Velocity = sqrt(Turn Radius*[g]*(sqrt(Load Factor^2-1))) to calculate the Flight Velocity, The Velocity for given turn radius of the aircraft is a function of load factor and the turn radius of the aircraft. Flight Velocity is denoted by V symbol.

How to calculate Velocity for given turn radius using this online calculator? To use this online calculator for Velocity for given turn radius, enter Turn Radius (R) & Load Factor (n) and hit the calculate button. Here is how the Velocity for given turn radius calculation can be explained with given input values -> 262.6174 = sqrt(8466.46*[g]*(sqrt(1.11^2-1))).

FAQ

What is Velocity for given turn radius?

The Velocity for given turn radius of the aircraft is a function of load factor and the turn radius of the aircraft and is represented as V = sqrt(R*[g]*(sqrt(n^2-1))) or Flight Velocity = sqrt(Turn Radius*[g]*(sqrt(Load Factor^2-1))). Turn Radius is the radius of the flight path causing the airplane to turn in a circular path & Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.

How to calculate Velocity for given turn radius?

The Velocity for given turn radius of the aircraft is a function of load factor and the turn radius of the aircraft is calculated using Flight Velocity = sqrt(Turn Radius*[g]*(sqrt(Load Factor^2-1))). To calculate Velocity for given turn radius, you need Turn Radius (R) & Load Factor (n). With our tool, you need to enter the respective value for Turn Radius & 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 Flight Velocity?

In this formula, Flight Velocity uses Turn Radius & Load Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Flight Velocity = [g]*sqrt(Load Factor^2-1)/Turn Rate

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