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Power required at sea-level conditions Formula

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Power Required at Sea-Level is the power required by an aircraft to fly at the sea-level condition. Check FAQs

P R,0 = \sqrt{\frac{2 \cdot {W body}^{3} \cdot {C D}^{2}}{[Std-Air-Density-Sea] \cdot S \cdot {C L}^{3}}}

P_R,0 - Power Required at Sea-level?W_body - Weight of Body?C_D - Drag Coefficient?S - Reference Area?C_L - Lift Coefficient?[Std-Air-Density-Sea] - Standard air density at sea-level conditions?

Power required at sea-level conditions Example

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Here is how the Power required at sea-level conditions equation looks like with Values.

Here is how the Power required at sea-level conditions equation looks like with Units.

Here is how the Power required at sea-level conditions equation looks like.

19939.1681 = \sqrt{\frac{2 \cdot 750^{3} \cdot {1.134}^{2}}{1.229 \cdot 91.05 \cdot {0.29}^{3}}}

19939.1681W = \sqrt{\frac{2 \cdot {750N}^{3} \cdot {1.134}^{2}}{1.229 \cdot 91.05m² \cdot {0.29}^{3}}}

19939.1681 = \sqrt{\frac{2 \cdot 750^{3} \cdot {1.134}^{2}}{1.229 \cdot 91.05 \cdot {0.29}^{3}}}

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Power required at sea-level conditions Solution

Follow our step by step solution on how to calculate Power required at sea-level conditions?

FIRST Step Consider the formula

P R,0 = \sqrt{\frac{2 \cdot {W body}^{3} \cdot {C D}^{2}}{[Std-Air-Density-Sea] \cdot S \cdot {C L}^{3}}}

Next Step Substitute values of Variables

∴

P R,0 = \sqrt{\frac{2 \cdot {750N}^{3} \cdot {1.134}^{2}}{[Std-Air-Density-Sea] \cdot 91.05m² \cdot {0.29}^{3}}}

Next Step Substitute values of Constants

∴

P R,0 = \sqrt{\frac{2 \cdot {750N}^{3} \cdot {1.134}^{2}}{1.229 \cdot 91.05m² \cdot {0.29}^{3}}}

Next Step Prepare to Evaluate

∴

P R,0 = \sqrt{\frac{2 \cdot 750^{3} \cdot {1.134}^{2}}{1.229 \cdot 91.05 \cdot {0.29}^{3}}}

Next Step Evaluate

∴

P R,0 = 19939.168070484W

LAST Step Rounding Answer

∴

P R,0 = 19939.1681W

Power required at sea-level conditions Formula Elements

Variables

Constants

Functions

Power Required at Sea-level

Power Required at Sea-Level is the power required by an aircraft to fly at the sea-level condition.

Symbol: P_R,0

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Required at Sea-level

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

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

Reference Area

The Reference Area is arbitrarily an area that is characteristic of the object being considered. For an aircraft wing, the wing's planform area is called the reference wing area or simply wing area.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Reference Area

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

Standard air density at sea-level conditions

Standard air density at sea-level conditions represents the mass of air per unit volume under standard atmospheric conditions.

Symbol: [Std-Air-Density-Sea]

Value: 1.229

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.

Syntax: sqrt(Number)

Other formulas in Preliminary Aerodynamics category

Go Velocity at Sea-Level given Lift Coefficient

V 0 = \sqrt{\frac{2 \cdot W body}{[Std-Air-Density-Sea] \cdot S \cdot C L}}

Go Velocity at Altitude

V alt = \sqrt{2 \cdot \frac{W body}{ρ 0 \cdot S \cdot C L}}

Go Power required at Altitude

P R,alt = \sqrt{\frac{2 \cdot {W body}^{3} \cdot {C D}^{2}}{ρ 0 \cdot S \cdot {C L}^{3}}}

Go Velocity at Altitude given Velocity at Sea-Level

V alt = V 0 \cdot \sqrt{\frac{[Std-Air-Density-Sea]}{ρ 0}}

How to Evaluate Power required at sea-level conditions?

Power required at sea-level conditions evaluator uses Power Required at Sea-level = sqrt((2*Weight of Body^3*Drag Coefficient^2)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient^3)) to evaluate the Power Required at Sea-level, Power required at sea-level conditions is a measure of the minimum power an aircraft requires to fly at a steady speed at sea level, considering factors such as body weight, drag coefficient, standard air density, reference area of aerodynamics, and lift coefficient. Power Required at Sea-level is denoted by P_R,0 symbol.

How to evaluate Power required at sea-level conditions using this online evaluator? To use this online evaluator for Power required at sea-level conditions, enter Weight of Body (W_body), Drag Coefficient (C_D), Reference Area (S) & Lift Coefficient (C_L) and hit the calculate button.

FAQs on Power required at sea-level conditions

What is the formula to find Power required at sea-level conditions?

The formula of Power required at sea-level conditions is expressed as Power Required at Sea-level = sqrt((2*Weight of Body^3*Drag Coefficient^2)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient^3)). Here is an example- 19933.7 = sqrt((2*750^3*1.134^2)/([Std-Air-Density-Sea]*91.05*0.29^3)).

How to calculate Power required at sea-level conditions?

With Weight of Body (W_body), Drag Coefficient (C_D), Reference Area (S) & Lift Coefficient (C_L) we can find Power required at sea-level conditions using the formula - Power Required at Sea-level = sqrt((2*Weight of Body^3*Drag Coefficient^2)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient^3)). This formula also uses Standard air density at sea-level conditions constant(s) and Square Root (sqrt) function(s).

Can the Power required at sea-level conditions be negative?

No, the Power required at sea-level conditions, measured in Power cannot be negative.

Which unit is used to measure Power required at sea-level conditions?

Power required at sea-level conditions is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Power required at sea-level conditions can be measured.

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Power required at sea-level conditions Formula

Power required at sea-level conditions Example

Power required at sea-level conditions Solution

Power required at sea-level conditions Formula Elements

Other formulas in Preliminary Aerodynamics category

How to Evaluate Power required at sea-level conditions?

FAQs on Power required at sea-level conditions

Variable Name