Turn Rate for given Wing Loading Calculator

✖Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.ⓘ Freestream Density [ρ_∞]			+10% -10%
✖The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.ⓘ Lift Coefficient [C_L]			+10% -10%
✖Load Factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.ⓘ Load Factor [n]			+10% -10%
✖Wing Loading is the loaded weight of the aircraft divided by the area of the wing.ⓘ Wing Loading [W_S]			+10% -10%

✖Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second.ⓘ Turn Rate for given Wing Loading [ω]

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Turn Rate for given Wing Loading Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turn Rate = [g]*(sqrt(Freestream Density*Lift Coefficient*Load Factor/(2*Wing Loading)))
ω = [g]*(sqrt(ρ_∞*C_L*n/(2*W_S)))
This formula uses 1 Constants, 1 Functions, 5 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.
Freestream Density - (Measured in Kilogram per Cubic Meter) - Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.
Lift Coefficient - The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.
Load Factor - Load Factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.
Wing Loading - (Measured in Pascal) - Wing Loading is the loaded weight of the aircraft divided by the area of the wing.

STEP 1: Convert Input(s) to Base Unit

Freestream Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Lift Coefficient: 0.002 --> No Conversion Required
Load Factor: 1.2 --> No Conversion Required
Wing Loading: 354 Pascal --> 354 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = [g]*(sqrt(ρ_∞*C_L*n/(2*W_S))) --> [g]*(sqrt(1.225*0.002*1.2/(2*354)))

Evaluating ... ...

ω = 0.0199837833129818

STEP 3: Convert Result to Output's Unit

0.0199837833129818 Radian per Second -->1.14498644253804 Degree per Second (Check conversion here)

FINAL ANSWER

1.14498644253804 ≈ 1.144986 Degree per Second <-- Turn Rate

(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 Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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< High Load Factor Maneuver Calculators

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Turn Rate for given Wing Loading Formula

LaTeX Go

Turn Rate = [g]*(sqrt(Freestream Density*Lift Coefficient*Load Factor/(2*Wing Loading)))
ω = [g]*(sqrt(ρ_∞*C_L*n/(2*W_S)))

Can we estimate thrust loading based on wing loading?

Thrust loading and wing loading are one of the crucial parameters of an aircraft design. A designer can find both of them either by estimating thrust loading and then evaluating the wing loading or vice-versa.

How to Calculate Turn Rate for given Wing Loading?

Turn Rate for given Wing Loading calculator uses Turn Rate = [g]*(sqrt(Freestream Density*Lift Coefficient*Load Factor/(2*Wing Loading))) to calculate the Turn Rate, The Turn Rate for given Wing Loading refers to the rate at which an aircraft can change its direction or turn, it's typically measured in degrees per second or radians per second; by combining these given factors, the formula approximates the turn rate, offering insight into the aircraft's maneuvering capabilities. Turn Rate is denoted by ω symbol.

How to calculate Turn Rate for given Wing Loading using this online calculator? To use this online calculator for Turn Rate for given Wing Loading, enter Freestream Density (ρ_∞), Lift Coefficient (C_L), Load Factor (n) & Wing Loading (W_S) and hit the calculate button. Here is how the Turn Rate for given Wing Loading calculation can be explained with given input values -> 65.32667 = [g]*(sqrt(1.225*0.002*1.2/(2*354))).

FAQ

What is Turn Rate for given Wing Loading?

The Turn Rate for given Wing Loading refers to the rate at which an aircraft can change its direction or turn, it's typically measured in degrees per second or radians per second; by combining these given factors, the formula approximates the turn rate, offering insight into the aircraft's maneuvering capabilities and is represented as ω = [g]*(sqrt(ρ_∞*C_L*n/(2*W_S))) or Turn Rate = [g]*(sqrt(Freestream Density*Lift Coefficient*Load Factor/(2*Wing Loading))). Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude, The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area, Load Factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft & Wing Loading is the loaded weight of the aircraft divided by the area of the wing.

How to calculate Turn Rate for given Wing Loading?

The Turn Rate for given Wing Loading refers to the rate at which an aircraft can change its direction or turn, it's typically measured in degrees per second or radians per second; by combining these given factors, the formula approximates the turn rate, offering insight into the aircraft's maneuvering capabilities is calculated using Turn Rate = [g]*(sqrt(Freestream Density*Lift Coefficient*Load Factor/(2*Wing Loading))). To calculate Turn Rate for given Wing Loading, you need Freestream Density (ρ_∞), Lift Coefficient (C_L), Load Factor (n) & Wing Loading (W_S). With our tool, you need to enter the respective value for Freestream Density, Lift Coefficient, Load Factor & Wing Loading 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 Freestream Density, Lift Coefficient, Load Factor & Wing Loading. We can use 2 other way(s) to calculate the same, which is/are as follows -

Turn Rate = [g]*Load Factor/Velocity
Turn Rate = [g]*(sqrt((Reference Area*Freestream Density*Lift Coefficient*Load Factor)/(2*Aircraft Weight)))

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