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Power required for given aerodynamic coefficients Formula

GoPower required for given required thrust of aircraft Formula

GoPower required for given total drag force Formula

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Power is defined as the product of thrust force and velocity of aircraft. Check FAQs

P = W body \cdot V ∞ \cdot \frac{C D}{C L}

P - Power?W_body - Weight of Body?V_∞ - Freestream Velocity?C_D - Drag Coefficient?C_L - Lift Coefficient?

Power required for given aerodynamic coefficients Example

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Here is how the Power required for given aerodynamic coefficients equation looks like with Values.

Here is how the Power required for given aerodynamic coefficients equation looks like with Units.

Here is how the Power required for given aerodynamic coefficients equation looks like.

3013.6364 = 221 \cdot 30 \cdot \frac{0.5}{1.1}

3013.6364W = 221N \cdot 30m/s \cdot \frac{0.5}{1.1}

3013.6364 = 221 \cdot 30 \cdot \frac{0.5}{1.1}

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Power required for given aerodynamic coefficients Solution

Follow our step by step solution on how to calculate Power required for given aerodynamic coefficients?

FIRST Step Consider the formula

P = W body \cdot V ∞ \cdot \frac{C D}{C L}

Next Step Substitute values of Variables

∴

P = 221N \cdot 30m/s \cdot \frac{0.5}{1.1}

Next Step Prepare to Evaluate

∴

P = 221 \cdot 30 \cdot \frac{0.5}{1.1}

Next Step Evaluate

∴

P = 3013.63636363636W

LAST Step Rounding Answer

∴

P = 3013.6364W

Power required for given aerodynamic coefficients Formula Elements

Variables

Power

Power is defined as the product of thrust force and velocity of aircraft.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power

Weight of Body

Weight of Body is the force acting on the object due to gravity.

Symbol: W_body

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Weight of Body

Freestream Velocity

The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Freestream Velocity

Drag Coefficient

Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drag Coefficient

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.

Symbol: C_L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Lift Coefficient

Other Formulas to find Power

Go Power required for given required thrust of aircraft

P = V ∞ \cdot T

Go Power required for given total drag force

P = F D \cdot V ∞

Other formulas in Thrust and Power Requirements category

Go Thrust for Level and Unaccelerated Flight

T = \frac{F D}{\cos (σ T)}

Go Thrust Angle for Unaccelerated Level Flight for given Drag

σ T = a \cos (\frac{F D}{T})

Go Weight of Aircraft in Level, Unaccelerated Flight

W body = F L + (T \cdot \sin (σ T))

Go Thrust Angle for Unaccelerated Level Flight for given Lift

σ T = a \sin (\frac{W body - F L}{T})

How to Evaluate Power required for given aerodynamic coefficients?

Power required for given aerodynamic coefficients evaluator uses Power = Weight of Body*Freestream Velocity*Drag Coefficient/Lift Coefficient to evaluate the Power, The Power required for given aerodynamic coefficients represents the amount of power needed to sustain flight based on specific aerodynamic parameters, such as the drag coefficient, this equation illustrates that the power required for a given set of aerodynamic coefficients is influenced by factors such as air density, velocity, and the specific aerodynamic characteristics of the aircraft, as represented by the drag coefficient. Power is denoted by P symbol.

How to evaluate Power required for given aerodynamic coefficients using this online evaluator? To use this online evaluator for Power required for given aerodynamic coefficients, enter Weight of Body (W_body), Freestream Velocity (V_∞), Drag Coefficient (C_D) & Lift Coefficient (C_L) and hit the calculate button.

FAQs on Power required for given aerodynamic coefficients

What is the formula to find Power required for given aerodynamic coefficients?

The formula of Power required for given aerodynamic coefficients is expressed as Power = Weight of Body*Freestream Velocity*Drag Coefficient/Lift Coefficient. Here is an example- 3013.636 = 221*30*0.5/1.1.

How to calculate Power required for given aerodynamic coefficients?

With Weight of Body (W_body), Freestream Velocity (V_∞), Drag Coefficient (C_D) & Lift Coefficient (C_L) we can find Power required for given aerodynamic coefficients using the formula - Power = Weight of Body*Freestream Velocity*Drag Coefficient/Lift Coefficient.

What are the other ways to Calculate Power?

Here are the different ways to Calculate Power-

Power=Freestream Velocity*Thrust
Power=Drag Force*Freestream Velocity

Can the Power required for given aerodynamic coefficients be negative?

No, the Power required for given aerodynamic coefficients, measured in Power cannot be negative.

Which unit is used to measure Power required for given aerodynamic coefficients?

Power required for given aerodynamic coefficients is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Power required for given aerodynamic coefficients can be measured.

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Power required for given aerodynamic coefficients Formula

​GoPower required for given required thrust of aircraft Formula

​GoPower required for given total drag force Formula

Power required for given aerodynamic coefficients Example

Power required for given aerodynamic coefficients Solution

Power required for given aerodynamic coefficients Formula Elements

Other Formulas to find Power

Other formulas in Thrust and Power Requirements category

How to Evaluate Power required for given aerodynamic coefficients?

FAQs on Power required for given aerodynamic coefficients

Variable Name

GoPower required for given required thrust of aircraft Formula

GoPower required for given total drag force Formula