Coefficient of Lift Equation with Angle of Attack Calculator

✖Angle of attack is the angle between a reference line on a body and the vector representing the relative motion between the body and the fluid through which it is moving.ⓘ Angle of Attack [α]

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✖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.ⓘ Coefficient of Lift Equation with Angle of Attack [C_L]

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Coefficient of Lift Equation with Angle of Attack

Formula

`"C"_{"L"} = 2*(sin("α"))^2*cos("α")`

Example

`"0.070724"=2*(sin("10.94°"))^2*cos("10.94°")`

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Coefficient of Lift Equation with Angle of Attack Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lift Coefficient = 2*(sin(Angle of Attack))^2*cos(Angle of Attack)
C_L = 2*(sin(α))^2*cos(α)
This formula uses 2 Functions, 2 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

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.
Angle of Attack - (Measured in Radian) - Angle of attack is the angle between a reference line on a body and the vector representing the relative motion between the body and the fluid through which it is moving.

STEP 1: Convert Input(s) to Base Unit

Angle of Attack: 10.94 Degree --> 0.190939020168144 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_L = 2*(sin(α))^2*cos(α) --> 2*(sin(0.190939020168144))^2*cos(0.190939020168144)

Evaluating ... ...

C_L = 0.0707244997171631

STEP 3: Convert Result to Output's Unit

0.0707244997171631 --> No Conversion Required

FINAL ANSWER

0.0707244997171631 ≈ 0.070724 <-- Lift Coefficient

(Calculation completed in 00.004 seconds)

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< 14 Newtonian Flow Calculators

Time Rate of Change of Momentum of Mass Flux

Go Force = Density of Fluid*Fluid Velocity^2*Area*(sin(Angle of Inclination))^2

Mass Flux Incident on Surface Area

Go Mass Flux(g) = Density of Material*Velocity*Area*sin(Angle of Inclination)

Maximum Pressure Coefficient

Go Maximum Pressure Coefficient = (Total Pressure-Pressure)/(0.5*Density of Material*Freestream Velocity^2)

Exact Normal Shock Wave Maximum Coefficient of Pressure

Go Maximum Pressure Coefficient = 2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1)

Pressure Coefficient for Slender 2D Bodies

Go Pressure Coefficient = 2*((Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis)

Pressure Coefficient for Slender Bodies of Revolution

Go Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis

Coefficient of Lift Equation with Angle of Attack

Go Lift Coefficient = 2*(sin(Angle of Attack))^2*cos(Angle of Attack)

Modified Newtonian Law

Go Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2

Coefficient of Lift Equation with Coefficient of Normal Force

Go Lift Coefficient = Coefficient of Force*cos(Angle of Attack)

Coefficient of Drag Equation with Coefficient of Normal Force

Go Drag Coefficient = Coefficient of Force*sin(Angle of Attack)

Force Exerted on Surface given Static Pressure

Go Force = Area*(Surface Pressure-Static Pressure)

Lift Force with Angle of Attack

Go Lift Force = Drag Force*cot(Angle of Attack)

Drag Force with Angle of Attack

Go Drag Force = Lift Force/cot(Angle of Attack)

Coefficient of Drag Equation with Angle of Attack

Go Drag Coefficient = 2*(sin(Angle of Attack))^3

Coefficient of Lift Equation with Angle of Attack Formula

Lift Coefficient = 2*(sin(Angle of Attack))^2*cos(Angle of Attack)
C_L = 2*(sin(α))^2*cos(α)

What is angle of attack?

In fluid dynamics, angle of attack is the angle between a reference line on a body and the vector representing the relative motion between the body and the fluid through which it is moving.

How to Calculate Coefficient of Lift Equation with Angle of Attack?

Coefficient of Lift Equation with Angle of Attack calculator uses Lift Coefficient = 2*(sin(Angle of Attack))^2*cos(Angle of Attack) to calculate the Lift Coefficient, The Coefficient of lift equation with angle of attack formula is defined as the double the product of square of sine angle of attack and cosine of angle of attack. Lift Coefficient is denoted by C_L symbol.

How to calculate Coefficient of Lift Equation with Angle of Attack using this online calculator? To use this online calculator for Coefficient of Lift Equation with Angle of Attack, enter Angle of Attack (α) and hit the calculate button. Here is how the Coefficient of Lift Equation with Angle of Attack calculation can be explained with given input values -> 0.070724 = 2*(sin(0.190939020168144))^2*cos(0.190939020168144).

FAQ

What is Coefficient of Lift Equation with Angle of Attack?

The Coefficient of lift equation with angle of attack formula is defined as the double the product of square of sine angle of attack and cosine of angle of attack and is represented as C_L = 2*(sin(α))^2*cos(α) or Lift Coefficient = 2*(sin(Angle of Attack))^2*cos(Angle of Attack). Angle of attack is the angle between a reference line on a body and the vector representing the relative motion between the body and the fluid through which it is moving.

How to calculate Coefficient of Lift Equation with Angle of Attack?

The Coefficient of lift equation with angle of attack formula is defined as the double the product of square of sine angle of attack and cosine of angle of attack is calculated using Lift Coefficient = 2*(sin(Angle of Attack))^2*cos(Angle of Attack). To calculate Coefficient of Lift Equation with Angle of Attack, you need Angle of Attack (α). With our tool, you need to enter the respective value for Angle of Attack 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 Lift Coefficient?

In this formula, Lift Coefficient uses Angle of Attack. We can use 1 other way(s) to calculate the same, which is/are as follows -

Lift Coefficient = Coefficient of Force*cos(Angle of Attack)

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