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Power required at Altitude given Power at sea-level Formula

GoPower required at Altitude Formula

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Power Required at Altitude is the power required for an aircraft to fly with a specific velocity at an altitude for a given altitude (or density). Check FAQs

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

P_R,alt - Power Required at Altitude?P_R,0 - Power Required at Sea-level?ρ₀ - Density?[Std-Air-Density-Sea] - Standard air density at sea-level conditions?

Power required at Altitude given Power at sea-level Example

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

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

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

700.0894 = 19940 \cdot \sqrt{\frac{1.229}{997}}

700.0894W = 19940W \cdot \sqrt{\frac{1.229}{997kg/m³}}

700.0894 = 19940 \cdot \sqrt{\frac{1.229}{997}}

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Power required at Altitude given Power at sea-level Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P R,alt = 19940W \cdot \sqrt{\frac{[Std-Air-Density-Sea]}{997kg/m³}}

Next Step Substitute values of Constants

∴

P R,alt = 19940W \cdot \sqrt{\frac{1.229}{997kg/m³}}

Next Step Prepare to Evaluate

∴

P R,alt = 19940 \cdot \sqrt{\frac{1.229}{997}}

Next Step Evaluate

∴

P R,alt = 700.08942285968W

LAST Step Rounding Answer

∴

P R,alt = 700.0894W

Power required at Altitude given Power at sea-level Formula Elements

Variables

Constants

Functions

Power Required at Altitude

Power Required at Altitude is the power required for an aircraft to fly with a specific velocity at an altitude for a given altitude (or density).

Symbol: P_R,alt

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Required at Altitude

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

Density

The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ₀

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

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 to find Power Required at Altitude

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}}}

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 Power required at sea-level conditions

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

Go Velocity at Altitude

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

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 Altitude given Power at sea-level?

Power required at Altitude given Power at sea-level evaluator uses Power Required at Altitude = Power Required at Sea-level*sqrt([Std-Air-Density-Sea]/Density) to evaluate the Power Required at Altitude, Power required at Altitude given Power at sea-level is a measure of the power required by an aircraft at a certain altitude, taking into account the decrease in air density with increasing altitude, and is calculated as a multiple of the power required at sea level, adjusted for the ratio of standard air density at sea level to the air density at the given altitude. Power Required at Altitude is denoted by P_R,alt symbol.

How to evaluate Power required at Altitude given Power at sea-level using this online evaluator? To use this online evaluator for Power required at Altitude given Power at sea-level, enter Power Required at Sea-level (P_R,0) & Density (ρ₀) and hit the calculate button.

FAQs on Power required at Altitude given Power at sea-level

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

The formula of Power required at Altitude given Power at sea-level is expressed as Power Required at Altitude = Power Required at Sea-level*sqrt([Std-Air-Density-Sea]/Density). Here is an example- 700.581 = 19940*sqrt([Std-Air-Density-Sea]/997).

How to calculate Power required at Altitude given Power at sea-level?

With Power Required at Sea-level (P_R,0) & Density (ρ₀) we can find Power required at Altitude given Power at sea-level using the formula - Power Required at Altitude = Power Required at Sea-level*sqrt([Std-Air-Density-Sea]/Density). This formula also uses Standard air density at sea-level conditions constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Power Required at Altitude?

Here are the different ways to Calculate Power Required at Altitude-

Power Required at Altitude=sqrt((2*Weight of Body^3*Drag Coefficient^2)/(Density*Reference Area*Lift Coefficient^3))

Can the Power required at Altitude given Power at sea-level be negative?

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

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

Power required at Altitude given Power at sea-level 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 Altitude given Power at sea-level can be measured.

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Power required at Altitude given Power at sea-level Formula

​GoPower required at Altitude Formula

Power required at Altitude given Power at sea-level Example

Power required at Altitude given Power at sea-level Solution

Power required at Altitude given Power at sea-level Formula Elements

Other Formulas to find Power Required at Altitude

Other formulas in Preliminary Aerodynamics category

How to Evaluate Power required at Altitude given Power at sea-level?

FAQs on Power required at Altitude given Power at sea-level

Variable Name

GoPower required at Altitude Formula