Load Factor given Turn Rate Calculator

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Aircraft Performance

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✖Flight Velocity refers to the speed at which an aircraft moves through the air.ⓘ Flight Velocity [V]			+10% -10%
✖Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second.ⓘ Turn Rate [ω]			+10% -10%

✖Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.ⓘ Load Factor given Turn Rate [n]

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Formula

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Load Factor given Turn Rate

Formula

`"n" = sqrt(("V"*"ω"/"[g]")^2+1)`

Example

`"1.11101"=sqrt(("200m/s"*"1.36degree/s"/"[g]")^2+1)`

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Load Factor given Turn Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Load Factor - Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.
Flight Velocity - (Measured in Meter per Second) - Flight Velocity refers to the speed at which an aircraft moves through the air.
Turn Rate - (Measured in Radian per Second) - Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second.

STEP 1: Convert Input(s) to Base Unit

Flight Velocity: 200 Meter per Second --> 200 Meter per Second No Conversion Required
Turn Rate: 1.36 Degree per Second --> 0.0237364778271184 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = sqrt((V*ω/[g])^2+1) --> sqrt((200*0.0237364778271184/[g])^2+1)

Evaluating ... ...

n = 1.11100970831233

STEP 3: Convert Result to Output's Unit

1.11100970831233 --> No Conversion Required

FINAL ANSWER

1.11100970831233 ≈ 1.11101 <-- Load Factor

(Calculation completed in 00.004 seconds)

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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

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< 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

Load Factor given Turn Rate Formula

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

What is sustained turn rate?

A sustained turn rate is the turn rate that can be sustained as long as you want because you can build up enough speed to make a similar turn as soon as the last one finishes.

How to Calculate Load Factor given Turn Rate?

Load Factor given Turn Rate calculator uses Load Factor = sqrt((Flight Velocity*Turn Rate/[g])^2+1) to calculate the Load Factor, The Load Factor given Turn Rate of the aircraft depends upon the velocity and the turn rate of the aircraft. Load Factor is denoted by n symbol.

How to calculate Load Factor given Turn Rate using this online calculator? To use this online calculator for Load Factor given Turn Rate, enter Flight Velocity (V) & Turn Rate (ω) and hit the calculate button. Here is how the Load Factor given Turn Rate calculation can be explained with given input values -> 1.109463 = sqrt((200*0.0237364778271184/[g])^2+1).

FAQ

What is Load Factor given Turn Rate?

The Load Factor given Turn Rate of the aircraft depends upon the velocity and the turn rate of the aircraft and is represented as n = sqrt((V*ω/[g])^2+1) or Load Factor = sqrt((Flight Velocity*Turn Rate/[g])^2+1). Flight Velocity refers to the speed at which an aircraft moves through the air & Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second.

How to calculate Load Factor given Turn Rate?

The Load Factor given Turn Rate of the aircraft depends upon the velocity and the turn rate of the aircraft is calculated using Load Factor = sqrt((Flight Velocity*Turn Rate/[g])^2+1). To calculate Load Factor given Turn Rate, you need Flight Velocity (V) & Turn Rate (ω). With our tool, you need to enter the respective value for Flight Velocity & Turn Rate 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 Load Factor?

In this formula, Load Factor uses Flight Velocity & Turn Rate. We can use 2 other way(s) to calculate the same, which is/are as follows -

Load Factor = sqrt(1+(Flight Velocity^2/([g]*Turn Radius))^2)
Load Factor = Lift Force/Aircraft Weight

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