Vehicle Stalling Speed given Maximum Attainable Lift Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vehicle Speed = sqrt((2*Mass Aircraft*[g])/(Density Altitude for flying*Aircraft Gross Wing Area*Maximum Lift Coefficient))
V = sqrt((2*MAircraft*[g])/(ρ*S*CL,max))
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
Vehicle Speed - (Measured in Kilometer per Hour) - Vehicle Speed (True Air Speed) of an aircraft is the speed of aircraft relative to air mass through which it is flying. The true airspeed is important information for accurate navigation of aircraft.
Mass Aircraft - (Measured in Kilogram) - Mass Aircraft is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Density Altitude for flying - (Measured in Kilogram per Cubic Meter) - Density Altitude for flying is a representation of the amount of mass of a substance, material or object in relation to the space it occupies at an altitude.
Aircraft Gross Wing Area - (Measured in Square Meter) - Aircraft Gross Wing Area calculated by looking at the wing from a top-down view and measuring the area of the wing.
Maximum Lift Coefficient - Maximum Lift Coefficient is defined as the lift coefficient of the airfoil at stalling angle of attack.
STEP 1: Convert Input(s) to Base Unit
Mass Aircraft: 50000 Kilogram --> 50000 Kilogram No Conversion Required
Density Altitude for flying: 1.21 Kilogram per Cubic Meter --> 1.21 Kilogram per Cubic Meter No Conversion Required
Aircraft Gross Wing Area: 23 Square Meter --> 23 Square Meter No Conversion Required
Maximum Lift Coefficient: 0.88 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = sqrt((2*MAircraft*[g])/(ρ*S*CL,max)) --> sqrt((2*50000*[g])/(1.21*23*0.88))
Evaluating ... ...
V = 200.107054123828
STEP 3: Convert Result to Output's Unit
55.5852928121744 Meter per Second -->200.107054123828 Kilometer per Hour (Check conversion ​here)
FINAL ANSWER
200.107054123828 200.1071 Kilometer per Hour <-- Vehicle Speed
(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg
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Aircraft Gross Wing Calculators

Vehicle Stalling Speed given Maximum Attainable Lift Coefficient
​ LaTeX ​ Go Vehicle Speed = sqrt((2*Mass Aircraft*[g])/(Density Altitude for flying*Aircraft Gross Wing Area*Maximum Lift Coefficient))
Maximum Attainable Lift Coefficient given Vehicle Stalling Speed
​ LaTeX ​ Go Maximum Lift Coefficient = 2*Mass Aircraft*[g]/(Density Altitude for flying*Aircraft Gross Wing Area*Vehicle Speed^2)
Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions
​ LaTeX ​ Go Aircraft Gross Wing Area = 2*Mass Aircraft*[g]/(Density Altitude for flying*Lift Coefficient*Vehicle Speed^2)
Aircraft Gross Wing Area for Lifting Force Provided by Wing Body of Vehicle
​ LaTeX ​ Go Aircraft Gross Wing Area = Lifting Force of Aircraft/(0.5*Density Altitude for flying*Vehicle Speed^2*Lift Coefficient)

Vehicle Stalling Speed given Maximum Attainable Lift Coefficient Formula

​LaTeX ​Go
Vehicle Speed = sqrt((2*Mass Aircraft*[g])/(Density Altitude for flying*Aircraft Gross Wing Area*Maximum Lift Coefficient))
V = sqrt((2*MAircraft*[g])/(ρ*S*CL,max))

What is Lift Force?

Lift is the force that directly opposes the weight of an airplane and holds the airplane in the air. Lift is a mechanical aerodynamic force produced by the motion of the airplane through the air. Because lift is a force, it is a vector quantity, having both a magnitude and a direction associated with it.

How to Calculate Vehicle Stalling Speed given Maximum Attainable Lift Coefficient?

Vehicle Stalling Speed given Maximum Attainable Lift Coefficient calculator uses Vehicle Speed = sqrt((2*Mass Aircraft*[g])/(Density Altitude for flying*Aircraft Gross Wing Area*Maximum Lift Coefficient)) to calculate the Vehicle Speed, Vehicle Stalling Speed given Maximum Attainable Lift Coefficient is defined as is minimum speed at which aircraft must fly in order to stay aloft. Vehicle Speed is denoted by V symbol.

How to calculate Vehicle Stalling Speed given Maximum Attainable Lift Coefficient using this online calculator? To use this online calculator for Vehicle Stalling Speed given Maximum Attainable Lift Coefficient, enter Mass Aircraft (MAircraft), Density Altitude for flying (ρ), Aircraft Gross Wing Area (S) & Maximum Lift Coefficient (CL,max) and hit the calculate button. Here is how the Vehicle Stalling Speed given Maximum Attainable Lift Coefficient calculation can be explained with given input values -> 720.3854 = sqrt((2*50000*[g])/(1.21*23*0.88)).

FAQ

What is Vehicle Stalling Speed given Maximum Attainable Lift Coefficient?
Vehicle Stalling Speed given Maximum Attainable Lift Coefficient is defined as is minimum speed at which aircraft must fly in order to stay aloft and is represented as V = sqrt((2*MAircraft*[g])/(ρ*S*CL,max)) or Vehicle Speed = sqrt((2*Mass Aircraft*[g])/(Density Altitude for flying*Aircraft Gross Wing Area*Maximum Lift Coefficient)). Mass Aircraft is the quantity of matter in a body regardless of its volume or of any forces acting on it, Density Altitude for flying is a representation of the amount of mass of a substance, material or object in relation to the space it occupies at an altitude, Aircraft Gross Wing Area calculated by looking at the wing from a top-down view and measuring the area of the wing & Maximum Lift Coefficient is defined as the lift coefficient of the airfoil at stalling angle of attack.
How to calculate Vehicle Stalling Speed given Maximum Attainable Lift Coefficient?
Vehicle Stalling Speed given Maximum Attainable Lift Coefficient is defined as is minimum speed at which aircraft must fly in order to stay aloft is calculated using Vehicle Speed = sqrt((2*Mass Aircraft*[g])/(Density Altitude for flying*Aircraft Gross Wing Area*Maximum Lift Coefficient)). To calculate Vehicle Stalling Speed given Maximum Attainable Lift Coefficient, you need Mass Aircraft (MAircraft), Density Altitude for flying (ρ), Aircraft Gross Wing Area (S) & Maximum Lift Coefficient (CL,max). With our tool, you need to enter the respective value for Mass Aircraft, Density Altitude for flying, Aircraft Gross Wing Area & Maximum Lift Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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