Velocity for given turn rate Calculator

✖Load Factor is the ratio of the aerodynamic force on the aircraft to the gross weight of the aircraft.ⓘ Load Factor [n]			+10% -10%
✖Turn Rate is the rate at which an aircraft executes a turn expressed in degrees per second.ⓘ Turn Rate [ω]			+10% -10%

✖Flight Velocity refers to the speed at which an aircraft moves through the air.ⓘ Velocity for given turn rate [V]

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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 00.004 seconds)

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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 Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has verified this Calculator and 200+ more calculators!

< Turning Flight Calculators

Load Factor given Turn Radius

LaTeX Go Load Factor = sqrt(1+(Flight Velocity^2/([g]*Turn Radius))^2)

Load Factor given Turn Rate

LaTeX Go Load Factor = sqrt((Flight Velocity*Turn Rate/[g])^2+1)

Velocity for given turn rate

LaTeX Go Flight Velocity = [g]*sqrt(Load Factor^2-1)/Turn Rate

Turn rate

LaTeX Go Turn Rate = [g]*sqrt(Load Factor^2-1)/Flight Velocity

Velocity for given turn rate Formula

LaTeX Go

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, Velocity for given turn rate is a measure of the speed of an aircraft during a turn, calculated based on the load factor, gravitational acceleration, and the rate of turn. 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?

Velocity for given turn rate is a measure of the speed of an aircraft during a turn, calculated based on the load factor, gravitational acceleration, and the rate of turn 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?

Velocity for given turn rate is a measure of the speed of an aircraft during a turn, calculated based on the load factor, gravitational acceleration, and the rate of turn 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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