Credits

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 200+ more calculators!

Turn radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
turn_radius = (Velocity^2)/([g]*sqrt((Load factor^2)-1))
R = (v^2)/([g]*sqrt((n^2)-1))
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665 Meter/Second²
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Velocity - Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object). (Measured in Meter per Second)
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]*sqrt((n^2)-1)) --> (60^2)/([g]*sqrt((1.2^2)-1))
Evaluating ... ...
R = 553.420811632897
STEP 3: Convert Result to Output's Unit
553.420811632897 Meter --> No Conversion Required
FINAL ANSWER
553.420811632897 Meter <-- Turn Radius
(Calculation completed in 00.015 seconds)

10+ Turning Flight Calculators

Velocity for a given turn radius
velocity = sqrt(Turn Radius*[g]*(sqrt((Load factor^2)-1))) Go
Load factor for a given turn radius
load_factor_aircraft = sqrt(1+(((Velocity^2)/([g]*Turn Radius))^2)) Go
Load factor for a given turn rate
load_factor_aircraft = sqrt(((Velocity*Turn Rate/[g])^2)+1) Go
Turn radius
turn_radius = (Velocity^2)/([g]*sqrt((Load factor^2)-1)) Go
Velocity for a given turn rate
velocity = [g]*(sqrt((Load factor^2)-1))/Turn Rate Go
Turn rate
turn_rate = [g]*(sqrt((Load factor^2)-1))/Velocity Go
Bank angle during level turn
bank_angle = acos(Weight Newton/Lift force) Go
Lift during level turn
lift_force = Weight Newton/cos(Bank angle) Go
Lift for a given load factor
lift_force = Load factor*Weight Newton Go
Weight for a given load factor
weight_si = Lift force/Load factor Go

Turn radius Formula

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

What are the four basic flight maneuvers?

An airplane rotates in bank, pitch, and yaw while also moving horizontally, vertically, and laterally. The four fundamentals (straight-and-level flight, turns, climbs, and descents) are the principle maneuvers that control the airplane through the six motions of flight.

How to Calculate Turn radius?

Turn radius calculator uses turn_radius = (Velocity^2)/([g]*sqrt((Load factor^2)-1)) to calculate the Turn Radius, The Turn radius of an aircraft in level turn is a function of the velocity and load factor of the aircraft. Turn Radius and is denoted by R symbol.

How to calculate Turn radius using this online calculator? To use this online calculator for Turn radius, enter Velocity (v) & Load factor (n) and hit the calculate button. Here is how the Turn radius calculation can be explained with given input values -> 553.4208 = (60^2)/([g]*sqrt((1.2^2)-1)).

FAQ

What is Turn radius?
The Turn radius of an aircraft in level turn is a function of the velocity and load factor of the aircraft and is represented as R = (v^2)/([g]*sqrt((n^2)-1)) or turn_radius = (Velocity^2)/([g]*sqrt((Load factor^2)-1)). Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object) & Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.
How to calculate Turn radius?
The Turn radius of an aircraft in level turn is a function of the velocity and load factor of the aircraft is calculated using turn_radius = (Velocity^2)/([g]*sqrt((Load factor^2)-1)). To calculate Turn 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 10 other way(s) to calculate the same, which is/are as follows -
  • load_factor_aircraft = sqrt(((Velocity*Turn Rate/[g])^2)+1)
  • velocity = [g]*(sqrt((Load factor^2)-1))/Turn Rate
  • turn_rate = [g]*(sqrt((Load factor^2)-1))/Velocity
  • load_factor_aircraft = sqrt(1+(((Velocity^2)/([g]*Turn Radius))^2))
  • lift_force = Load factor*Weight Newton
  • weight_si = Lift force/Load factor
  • turn_radius = (Velocity^2)/([g]*sqrt((Load factor^2)-1))
  • velocity = sqrt(Turn Radius*[g]*(sqrt((Load factor^2)-1)))
  • lift_force = Weight Newton/cos(Bank angle)
  • bank_angle = acos(Weight Newton/Lift force)
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