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Velocity at Altitude Formula

GoVelocity at Altitude given Velocity at Sea-Level 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 = \sqrt{2 \cdot \frac{W body}{ρ 0 \cdot S \cdot C L}}

V_alt - Velocity at an Altitude?W_body - Weight of Body?ρ₀ - Density?S - Reference Area?C_L - Lift Coefficient?

Velocity at Altitude Example

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Here is how the Velocity at Altitude equation looks like with Values.

Here is how the Velocity at Altitude equation looks like with Units.

Here is how the Velocity at Altitude equation looks like.

0.2387 = \sqrt{2 \cdot \frac{750}{997 \cdot 91.05 \cdot 0.29}}

0.2387m/s = \sqrt{2 \cdot \frac{750N}{997kg/m³ \cdot 91.05m² \cdot 0.29}}

0.2387 = \sqrt{2 \cdot \frac{750}{997 \cdot 91.05 \cdot 0.29}}

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Velocity at Altitude Solution

Follow our step by step solution on how to calculate Velocity at Altitude?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V alt = \sqrt{2 \cdot \frac{750N}{997kg/m³ \cdot 91.05m² \cdot 0.29}}

Next Step Prepare to Evaluate

∴

V alt = \sqrt{2 \cdot \frac{750}{997 \cdot 91.05 \cdot 0.29}}

Next Step Evaluate

∴

V alt = 0.238703659087935m/s

LAST Step Rounding Answer

∴

V alt = 0.2387m/s

Velocity at Altitude Formula Elements

Variables

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

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

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

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

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 given Velocity at Sea-Level

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

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?

Velocity at Altitude evaluator uses Velocity at an Altitude = sqrt(2*Weight of Body/(Density*Reference Area*Lift Coefficient)) to evaluate the Velocity at an Altitude, Velocity at Altitude is a measure of the speed of an object at a specific height above the Earth's surface, taking into account the body's weight, air density, reference area, and lift coefficient, this formula allows for the calculation of velocity in aerodynamic systems, providing valuable insights for engineers and researchers in the fields of aerospace and aerodynamics. Velocity at an Altitude is denoted by V_alt symbol.

How to evaluate Velocity at Altitude using this online evaluator? To use this online evaluator for Velocity at Altitude, enter Weight of Body (W_body), Density (ρ₀), Reference Area (S) & Lift Coefficient (C_L) and hit the calculate button.

FAQs on Velocity at Altitude

What is the formula to find Velocity at Altitude?

The formula of Velocity at Altitude is expressed as Velocity at an Altitude = sqrt(2*Weight of Body/(Density*Reference Area*Lift Coefficient)). Here is an example- 0.238704 = sqrt(2*750/(997*91.05*0.29)).

How to calculate Velocity at Altitude?

With Weight of Body (W_body), Density (ρ₀), Reference Area (S) & Lift Coefficient (C_L) we can find Velocity at Altitude using the formula - Velocity at an Altitude = sqrt(2*Weight of Body/(Density*Reference Area*Lift Coefficient)). This formula also uses 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=Velocity at Sea-Level*sqrt([Std-Air-Density-Sea]/Density)

Can the Velocity at Altitude be negative?

No, the Velocity at Altitude, measured in Speed cannot be negative.

Which unit is used to measure Velocity at Altitude?

Velocity at Altitude 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 can be measured.

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Velocity at Altitude Formula

​GoVelocity at Altitude given Velocity at Sea-Level Formula

Velocity at Altitude Example

Velocity at Altitude Solution

Velocity at Altitude Formula Elements

Other Formulas to find Velocity at an Altitude

Other formulas in Preliminary Aerodynamics category

How to Evaluate Velocity at Altitude?

FAQs on Velocity at Altitude

Variable Name

GoVelocity at Altitude given Velocity at Sea-Level Formula