Velocity given Turn Radius for High Load Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity = sqrt(Turn Radius*Load factor*[g])
v = sqrt(R*n*[g])
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
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
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: 300 Meter --> 300 Meter No Conversion Required
Load factor: 1.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = sqrt(R*n*[g]) --> sqrt(300*1.2*[g])
Evaluating ... ...
v = 59.4171187453582
STEP 3: Convert Result to Output's Unit
59.4171187453582 Meter per Second --> No Conversion Required
FINAL ANSWER
59.4171187453582 โ‰ˆ 59.41712 Meter per Second <-- Velocity
(Calculation completed in 00.004 seconds)

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 Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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25 High Load Factor Maneuver Calculators

Turn rate for given lift coefficient
Go Turn Rate = [g]*(sqrt((Reference Area*Freestream density*Lift Coefficient*Load factor)/(2*Aircraft weight)))
Turn rate for given wing loading
Go Turn Rate = [g]*(sqrt(Freestream density*Lift Coefficient*Load factor/(2*Wing Loading)))
Lift Coefficient for given turn rate
Go Lift Coefficient = 2*Aircraft weight*(Turn Rate^2)/(([g]^2)*Freestream density*Load factor*Reference Area)
Lift Coefficient for given Turn Radius
Go Lift Coefficient = Aircraft weight/(0.5*Freestream density*Reference Area*[g]*Turn Radius)
Radius of turn for given lift coefficient
Go Turn Radius = 2*Aircraft weight/(Freestream density*Reference Area*[g]*Lift Coefficient)
Wing loading for given turn rate
Go Wing Loading = ([g]^2)*Freestream density*Lift Coefficient*Load factor/(2*(Turn Rate^2))
Lift Coefficient for given wing loading and turn radius
Go Lift Coefficient = 2*Wing Loading/(Freestream density*Turn Radius*[g])
Radius of turn for given wing loading
Go Turn Radius = 2*Wing Loading/(Freestream density*Lift Coefficient*[g])
Wing loading for given turn radius
Go Wing Loading = (Turn Radius*Freestream density*Lift Coefficient*[g])/2
Velocity for given pull-up maneuver radius
Go Velocity = sqrt(Turn Radius*[g]*(Load factor-1))
Velocity given Pull-down Maneuver Radius
Go Velocity = sqrt(Turn Radius*[g]*(Load factor+1))
Velocity given Turn Radius for High Load Factor
Go Velocity = sqrt(Turn Radius*Load factor*[g])
Change in Angle of Attack due to Upward Gust
Go Change in Angle of Attack = tan(Gust Velocity/Flight Velocity)
Load Factor given Pull-down Maneuver Radius
Go Load factor = ((Velocity^2)/(Turn Radius*[g]))-1
Load Factor given Pull-UP Maneuver Radius
Go Load factor = 1+((Velocity^2)/(Turn Radius*[g]))
Pull-down maneuver radius
Go Turn Radius = (Velocity^2)/([g]*(Load factor+1))
Pull-up maneuver radius
Go Turn Radius = (Velocity^2)/([g]*(Load factor-1))
Load factor for given turn radius for high-performance fighter aircraft
Go Load factor = (Velocity^2)/([g]*Turn Radius)
Turn radius for high load factor
Go Turn Radius = (Velocity^2)/([g]*Load factor)
Velocity for given pull-up maneuver rate
Go Velocity = [g]*(Load factor-1)/Turn Rate
Load Factor given Pull-Up Maneuver Rate
Go Load factor = 1+(Velocity*Turn Rate/[g])
Pull-down maneuver rate
Go Turn Rate = [g]*(1+Load factor)/Velocity
Pull-up maneuver rate
Go Turn Rate = [g]*(Load factor-1)/Velocity
Load factor for given turn rate for high-performance fighter aircraft
Go Load factor = Velocity*Turn Rate/[g]
Turn rate for high load factor
Go Turn Rate = [g]*Load factor/Velocity

Velocity given Turn Radius for High Load Factor Formula

Velocity = sqrt(Turn Radius*Load factor*[g])
v = sqrt(R*n*[g])

What is the limit load factor for transport aircrafts?

For transport category airplanes, the load factor varies from โˆ’1 to +2.5 (or up to +3.8 depending on design takeoff weight).

How to Calculate Velocity given Turn Radius for High Load Factor?

Velocity given Turn Radius for High Load Factor calculator uses Velocity = sqrt(Turn Radius*Load factor*[g]) to calculate the Velocity, The Velocity given Turn Radius for High Load Factor is applicable for high-performance aircraft and depends on the load factor and turn radius of the aircraft. Velocity is denoted by v symbol.

How to calculate Velocity given Turn Radius for High Load Factor using this online calculator? To use this online calculator for Velocity given Turn Radius for High Load Factor, enter Turn Radius (R) & Load factor (n) and hit the calculate button. Here is how the Velocity given Turn Radius for High Load Factor calculation can be explained with given input values -> 59.41712 = sqrt(300*1.2*[g]).

FAQ

What is Velocity given Turn Radius for High Load Factor?
The Velocity given Turn Radius for High Load Factor is applicable for high-performance aircraft and depends on the load factor and turn radius of the aircraft and is represented as v = sqrt(R*n*[g]) or Velocity = sqrt(Turn Radius*Load factor*[g]). 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 given Turn Radius for High Load Factor?
The Velocity given Turn Radius for High Load Factor is applicable for high-performance aircraft and depends on the load factor and turn radius of the aircraft is calculated using Velocity = sqrt(Turn Radius*Load factor*[g]). To calculate Velocity given Turn Radius for High Load Factor, 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 Velocity?
In this formula, Velocity uses Turn Radius & Load factor. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Velocity = sqrt(Turn Radius*[g]*(Load factor-1))
  • Velocity = [g]*(Load factor-1)/Turn Rate
  • Velocity = sqrt(Turn Radius*[g]*(Load factor+1))
  • Velocity = [g]*(1+Load factor)/Turn Rate
  • Velocity = [g]*Load factor/Turn Rate
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