Velocity at Sea-Level given Lift Coefficient Calculator

✖Weight of Body is the force acting on the object due to gravity.ⓘ Weight of Body [W_body]			+10% -10%
✖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.ⓘ Reference Area [S]			+10% -10%
✖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.ⓘ Lift Coefficient [C_L]			+10% -10%

✖Velocity at Sea-Level is the distance traveled per unit of time by aircraft at sea-level conditions.ⓘ Velocity at Sea-Level given Lift Coefficient [V₀]

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Velocity at Sea-Level given Lift Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity at Sea-Level = sqrt((2*Weight of Body)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient))
V₀ = sqrt((2*W_body)/([Std-Air-Density-Sea]*S*C_L))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[Std-Air-Density-Sea] - Standard air density at sea-level conditions Value Taken As 1.229

Functions Used

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., sqrt(Number)

Variables Used

Velocity at Sea-Level - (Measured in Meter per Second) - Velocity at Sea-Level is the distance traveled per unit of time by aircraft at sea-level conditions.
Weight of Body - (Measured in Newton) - Weight of Body is the force acting on the object due to gravity.
Reference Area - (Measured in Square Meter) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Weight of Body: 750 Newton --> 750 Newton No Conversion Required
Reference Area: 91.05 Square Meter --> 91.05 Square Meter No Conversion Required
Lift Coefficient: 0.29 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₀ = sqrt((2*W_body)/([Std-Air-Density-Sea]*S*C_L)) --> sqrt((2*750)/([Std-Air-Density-Sea]*91.05*0.29))

Evaluating ... ...

V₀ = 6.79877570892459

STEP 3: Convert Result to Output's Unit

6.79877570892459 Meter per Second --> No Conversion Required

FINAL ANSWER

6.79877570892459 ≈ 6.798776 Meter per Second <-- Velocity at Sea-Level

(Calculation completed in 00.004 seconds)

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Home » Physics » Aircraft Mechanics » Introduction and Governing Equations » Aerospace » Preliminary Aerodynamics » Velocity at Sea-Level given Lift Coefficient

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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Indian Institute of Technology (IIT), Bombay

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< Preliminary Aerodynamics Calculators

Power required at sea-level conditions

LaTeX Go Power Required at Sea-level = sqrt((2*Weight of Body^3*Drag Coefficient^2)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient^3))

Power required at Altitude

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

Velocity at Sea-Level given Lift Coefficient

LaTeX Go Velocity at Sea-Level = sqrt((2*Weight of Body)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient))

Velocity at Altitude

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

Velocity at Sea-Level given Lift Coefficient Formula

LaTeX Go

Velocity at Sea-Level = sqrt((2*Weight of Body)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient))
V₀ = sqrt((2*W_body)/([Std-Air-Density-Sea]*S*C_L))

What are Standard sea-level conditions?

Standard sea-level conditions (SSL), also known as sea-level standard (SLS), defines a set of atmospheric conditions for physical calculations.

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

Velocity at Sea-Level given Lift Coefficient calculator uses Velocity at Sea-Level = sqrt((2*Weight of Body)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient)) to calculate 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 calculate Velocity at Sea-Level given Lift Coefficient using this online calculator? To use this online calculator 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. Here is how the Velocity at Sea-Level given Lift Coefficient calculation can be explained with given input values -> 6.798776 = sqrt((2*750)/([Std-Air-Density-Sea]*91.05*0.29)).

FAQ

What is Velocity at Sea-Level given Lift Coefficient?

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 and is represented as V₀ = sqrt((2*W_body)/([Std-Air-Density-Sea]*S*C_L)) or Velocity at Sea-Level = sqrt((2*Weight of Body)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient)). Weight of Body is the force acting on the object due to gravity, 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 & 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.

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

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 is calculated using Velocity at Sea-Level = sqrt((2*Weight of Body)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient)). To calculate Velocity at Sea-Level given Lift Coefficient, you need Weight of Body (W_body), Reference Area (S) & Lift Coefficient (C_L). With our tool, you need to enter the respective value for Weight of Body, Reference Area & Lift Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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