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Velocity at Sea-Level given Lift Coefficient Formula

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

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

V₀ - Velocity at Sea-Level?W_body - Weight of Body?S - Reference Area?C_L - Lift Coefficient?[Std-Air-Density-Sea] - Standard air density at sea-level conditions?

Velocity at Sea-Level given Lift Coefficient Example

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

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

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

6.7988 = \sqrt{\frac{2 \cdot 750}{1.229 \cdot 91.05 \cdot 0.29}}

6.7988m/s = \sqrt{\frac{2 \cdot 750N}{1.229 \cdot 91.05m² \cdot 0.29}}

6.7988 = \sqrt{\frac{2 \cdot 750}{1.229 \cdot 91.05 \cdot 0.29}}

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Velocity at Sea-Level given Lift Coefficient Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V 0 = \sqrt{\frac{2 \cdot 750N}{[Std-Air-Density-Sea] \cdot 91.05m² \cdot 0.29}}

Next Step Substitute values of Constants

∴

V 0 = \sqrt{\frac{2 \cdot 750N}{1.229 \cdot 91.05m² \cdot 0.29}}

Next Step Prepare to Evaluate

∴

V 0 = \sqrt{\frac{2 \cdot 750}{1.229 \cdot 91.05 \cdot 0.29}}

Next Step Evaluate

∴

V 0 = 6.79877570892459m/s

LAST Step Rounding Answer

∴

V 0 = 6.7988m/s

Velocity at Sea-Level given Lift Coefficient Formula Elements

Variables

Constants

Functions

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

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

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 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 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 Velocity at Sea-Level given Lift Coefficient?

Velocity at Sea-Level given Lift Coefficient evaluator uses Velocity at Sea-Level = sqrt((2*Weight of Body)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient)) to evaluate the Velocity at Sea-Level, Velocity at Sea-Level given Lift Coefficient is a measure that calculates the velocity of an object at sea level, taking into account the body weight, air density at sea level, reference area and lift coefficient, providing a crucial parameter in aerodynamics and aircraft design. Velocity at Sea-Level is denoted by V₀ symbol.

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

FAQs on Velocity at Sea-Level given Lift Coefficient

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

The formula of Velocity at Sea-Level given Lift Coefficient is expressed as Velocity at Sea-Level = sqrt((2*Weight of Body)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient)). Here is an example- 6.798776 = sqrt((2*750)/([Std-Air-Density-Sea]*91.05*0.29)).

How to calculate Velocity at Sea-Level given Lift Coefficient?

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

Can the Velocity at Sea-Level given Lift Coefficient be negative?

Yes, the Velocity at Sea-Level given Lift Coefficient, measured in Speed can be negative.

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

Velocity at Sea-Level given Lift Coefficient 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 Sea-Level given Lift Coefficient can be measured.

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Velocity at Sea-Level given Lift Coefficient Formula

Velocity at Sea-Level given Lift Coefficient Example

Velocity at Sea-Level given Lift Coefficient Solution

Velocity at Sea-Level given Lift Coefficient Formula Elements

Other formulas in Preliminary Aerodynamics category

How to Evaluate Velocity at Sea-Level given Lift Coefficient?

FAQs on Velocity at Sea-Level given Lift Coefficient

Variable Name