Turn rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity
ω = [g]*sqrt(n^2-1)/V
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
Turn Rate - (Measured in Radian per Second) - Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second.
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.
STEP 1: Convert Input(s) to Base Unit
Load Factor: 1.11 --> No Conversion Required
Flight Velocity: 200 Meter per Second --> 200 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ω = [g]*sqrt(n^2-1)/V --> [g]*sqrt(1.11^2-1)/200
Evaluating ... ...
ω = 0.0236226301340697
STEP 3: Convert Result to Output's Unit
0.0236226301340697 Radian per Second -->1.353477007681 Degree per Second (Check conversion here)
FINAL ANSWER
1.353477007681 1.353477 Degree per Second <-- Turn Rate
(Calculation completed in 00.004 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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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

Turn rate Formula

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

What is rate of turn?

In turning flight, the number of degrees of heading change per unit of time (usually measured in seconds) is referred to as the rate of turn.

How to Calculate Turn rate?

Turn rate calculator uses Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity to calculate the Turn Rate, The Turn rate of an aircraft is the angular velocity and is a function of the velocity and the load factor of the aircraft. Turn Rate is denoted by ω symbol.

How to calculate Turn rate using this online calculator? To use this online calculator for Turn rate, enter Load Factor (n) & Flight Velocity (V) and hit the calculate button. Here is how the Turn rate calculation can be explained with given input values -> 77.54852 = [g]*sqrt(1.11^2-1)/200.

FAQ

What is Turn rate?
The Turn rate of an aircraft is the angular velocity and is a function of the velocity and the load factor of the aircraft and is represented as ω = [g]*sqrt(n^2-1)/V or Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity. Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft & Flight Velocity refers to the speed at which an aircraft moves through the air.
How to calculate Turn rate?
The Turn rate of an aircraft is the angular velocity and is a function of the velocity and the load factor of the aircraft is calculated using Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity. To calculate Turn rate, you need Load Factor (n) & Flight Velocity (V). With our tool, you need to enter the respective value for Load Factor & Flight Velocity 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 Rate?
In this formula, Turn Rate uses Load Factor & Flight Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Turn Rate = 1091*tan(Bank angle)/Flight Velocity
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