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Velocity at Altitude given Velocity at Sea-Level Formula

GoVelocity at Altitude Formula

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Velocity at an Altitude is the velocity of an aircraft at a given altitude (or density). Check FAQs

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

V_alt - Velocity at an Altitude?V₀ - Velocity at Sea-Level?ρ₀ - Density?[Std-Air-Density-Sea] - Standard air density at sea-level conditions?

Velocity at Altitude given Velocity at Sea-Level Example

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Here is how the Velocity at Altitude given Velocity at Sea-Level equation looks like with Values.

Here is how the Velocity at Altitude given Velocity at Sea-Level equation looks like with Units.

Here is how the Velocity at Altitude given Velocity at Sea-Level equation looks like.

0.2352 = 6.7 \cdot \sqrt{\frac{1.229}{997}}

0.2352m/s = 6.7m/s \cdot \sqrt{\frac{1.229}{997kg/m³}}

0.2352 = 6.7 \cdot \sqrt{\frac{1.229}{997}}

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Velocity at Altitude given Velocity at Sea-Level Solution

Follow our step by step solution on how to calculate Velocity at Altitude given Velocity at Sea-Level?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V alt = 6.7m/s \cdot \sqrt{\frac{[Std-Air-Density-Sea]}{997kg/m³}}

Next Step Substitute values of Constants

∴

V alt = 6.7m/s \cdot \sqrt{\frac{1.229}{997kg/m³}}

Next Step Prepare to Evaluate

∴

V alt = 6.7 \cdot \sqrt{\frac{1.229}{997}}

Next Step Evaluate

∴

V alt = 0.23523566364894m/s

LAST Step Rounding Answer

∴

V alt = 0.2352m/s

Velocity at Altitude given Velocity at Sea-Level Formula Elements

Variables

Constants

Functions

Velocity at an Altitude

Velocity at an Altitude is the velocity of an aircraft at a given altitude (or density).

Symbol: V_alt

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity at an Altitude

Velocity at Sea-Level

Velocity at Sea-Level is the distance traveled per unit of time by aircraft at sea-level conditions.

Symbol: V₀

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity 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 Velocity at an Altitude

Go Velocity at Altitude

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

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 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 Power required at Altitude given Power at sea-level

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

How to Evaluate Velocity at Altitude given Velocity at Sea-Level?

Velocity at Altitude given Velocity at Sea-Level evaluator uses Velocity at an Altitude = Velocity at Sea-Level*sqrt([Std-Air-Density-Sea]/Density) to evaluate the Velocity at an Altitude, Velocity at Altitude given Velocity at Sea-Level is a measure of the velocity of an object at a certain altitude, calculated by multiplying the velocity at sea level by the square root of the ratio of the standard air density at sea level to the air density at the given altitude. Velocity at an Altitude is denoted by V_alt symbol.

How to evaluate Velocity at Altitude given Velocity at Sea-Level using this online evaluator? To use this online evaluator for Velocity at Altitude given Velocity at Sea-Level, enter Velocity at Sea-Level (V₀) & Density (ρ₀) and hit the calculate button.

FAQs on Velocity at Altitude given Velocity at Sea-Level

What is the formula to find Velocity at Altitude given Velocity at Sea-Level?

The formula of Velocity at Altitude given Velocity at Sea-Level is expressed as Velocity at an Altitude = Velocity at Sea-Level*sqrt([Std-Air-Density-Sea]/Density). Here is an example- 7.02196 = 6.7*sqrt([Std-Air-Density-Sea]/997).

How to calculate Velocity at Altitude given Velocity at Sea-Level?

With Velocity at Sea-Level (V₀) & Density (ρ₀) we can find Velocity at Altitude given Velocity at Sea-Level using the formula - Velocity at an Altitude = Velocity 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 Velocity at an Altitude?

Here are the different ways to Calculate Velocity at an Altitude-

Velocity at an Altitude=sqrt(2*Weight of Body/(Density*Reference Area*Lift Coefficient))

Can the Velocity at Altitude given Velocity at Sea-Level be negative?

No, the Velocity at Altitude given Velocity at Sea-Level, measured in Speed cannot be negative.

Which unit is used to measure Velocity at Altitude given Velocity at Sea-Level?

Velocity at Altitude given Velocity at Sea-Level is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity at Altitude given Velocity at Sea-Level can be measured.

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