Velocity for given turn rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flight Velocity = [g]*sqrt(Load Factor^2-1)/Turn Rate
V = [g]*sqrt(n^2-1)/ω
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.
Load Factor - Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.
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
Load Factor: 1.11 --> 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
V = [g]*sqrt(n^2-1)/ω --> [g]*sqrt(1.11^2-1)/0.0237364778271184
Evaluating ... ...
V = 199.040736423677
STEP 3: Convert Result to Output's Unit
199.040736423677 Meter per Second --> No Conversion Required
FINAL ANSWER
199.040736423677 199.0407 Meter per Second <-- Flight Velocity
(Calculation completed in 00.020 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

Velocity for given turn rate Formula

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

What is a Standard rate turn?

A turn rate of 3 degrees per second is called a standard rate turn of the aircraft. An aircraft conducting a Standard Rate Turn will turn a full circle in 2 minutes.

How to Calculate Velocity for given turn rate?

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

How to calculate Velocity for given turn rate using this online calculator? To use this online calculator for Velocity for given turn rate, enter Load Factor (n) & Turn Rate (ω) and hit the calculate button. Here is how the Velocity for given turn rate calculation can be explained with given input values -> 200.5151 = [g]*sqrt(1.11^2-1)/0.0237364778271184.

FAQ

What is Velocity for given turn rate?
The Velocity for given turn rate of the aircraft is a function of the load factor and rate of turn of the aircraft and is represented as V = [g]*sqrt(n^2-1)/ω or Flight Velocity = [g]*sqrt(Load Factor^2-1)/Turn Rate. Load factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft & Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second.
How to calculate Velocity for given turn rate?
The Velocity for given turn rate of the aircraft is a function of the load factor and rate of turn of the aircraft is calculated using Flight Velocity = [g]*sqrt(Load Factor^2-1)/Turn Rate. To calculate Velocity for given turn rate, you need Load Factor (n) & Turn Rate (ω). With our tool, you need to enter the respective value for Load Factor & 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 Flight Velocity?
In this formula, Flight Velocity uses Load Factor & Turn Rate. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Flight Velocity = sqrt(Turn Radius*[g]*(sqrt(Load Factor^2-1)))
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