Liftoff velocity for given weight Calculator

✖Weight Newton is a vector quantity and defined as the product of mass and acceleration acting on that mass.ⓘ Weight [W]			+10% -10%
✖Freestream density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.ⓘ Freestream Density [ρ_∞]			+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%
✖Maximum Lift Coefficient is defined as the lift coefficient of the airfoil at stalling angle of attack.ⓘ Maximum Lift Coefficient [C_L,max]			+10% -10%

✖Liftoff velocity is defined as the velocity of the aircraft at which it first becomes airborne.ⓘ Liftoff velocity for given weight [V_LO]

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Liftoff velocity for given weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Liftoff velocity = 1.2*(sqrt((2*Weight)/(Freestream Density*Reference Area*Maximum Lift Coefficient)))
V_LO = 1.2*(sqrt((2*W)/(ρ_∞*S*C_L,max)))
This formula uses 1 Functions, 5 Variables

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

Liftoff velocity - (Measured in Meter per Second) - Liftoff velocity is defined as the velocity of the aircraft at which it first becomes airborne.
Weight - (Measured in Newton) - Weight Newton is a vector quantity and defined as the product of mass and acceleration acting on that mass.
Freestream Density - (Measured in Kilogram per Cubic Meter) - Freestream density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.
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.
Maximum Lift Coefficient - Maximum Lift Coefficient is defined as the lift coefficient of the airfoil at stalling angle of attack.

STEP 1: Convert Input(s) to Base Unit

Weight: 60.5 Newton --> 60.5 Newton No Conversion Required
Freestream Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Reference Area: 5.08 Square Meter --> 5.08 Square Meter No Conversion Required
Maximum Lift Coefficient: 0.000885 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_LO = 1.2*(sqrt((2*W)/(ρ_∞*S*C_L,max))) --> 1.2*(sqrt((2*60.5)/(1.225*5.08*0.000885)))

Evaluating ... ...

V_LO = 177.869873159093

STEP 3: Convert Result to Output's Unit

177.869873159093 Meter per Second --> No Conversion Required

FINAL ANSWER

177.869873159093 ≈ 177.8699 Meter per Second <-- Liftoff velocity

(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra

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

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< Take Off Calculators

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Resistance force during ground roll

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Liftoff velocity for given weight Formula

LaTeX Go

Liftoff velocity = 1.2*(sqrt((2*Weight)/(Freestream Density*Reference Area*Maximum Lift Coefficient)))
V_LO = 1.2*(sqrt((2*W)/(ρ_∞*S*C_L,max)))

What is an assisted takeoff?

Assisted takeoff is any system for helping aircraft into the air (as opposed to strictly under its own power).

How to Calculate Liftoff velocity for given weight?

Liftoff velocity for given weight calculator uses Liftoff velocity = 1.2*(sqrt((2*Weight)/(Freestream Density*Reference Area*Maximum Lift Coefficient))) to calculate the Liftoff velocity, Liftoff Velocity for Given Weight is a measure of the minimum velocity required for an object to lift off the ground, calculated based on the weight, free stream density, reference area, and maximum lift coefficient. Liftoff velocity is denoted by V_LO symbol.

How to calculate Liftoff velocity for given weight using this online calculator? To use this online calculator for Liftoff velocity for given weight, enter Weight (W), Freestream Density (ρ_∞), Reference Area (S) & Maximum Lift Coefficient (C_L,max) and hit the calculate button. Here is how the Liftoff velocity for given weight calculation can be explained with given input values -> 4.119382 = 1.2*(sqrt((2*60.5)/(1.225*5.08*0.000885))).

FAQ

What is Liftoff velocity for given weight?

Liftoff Velocity for Given Weight is a measure of the minimum velocity required for an object to lift off the ground, calculated based on the weight, free stream density, reference area, and maximum lift coefficient and is represented as V_LO = 1.2*(sqrt((2*W)/(ρ_∞*S*C_L,max))) or Liftoff velocity = 1.2*(sqrt((2*Weight)/(Freestream Density*Reference Area*Maximum Lift Coefficient))). Weight Newton is a vector quantity and defined as the product of mass and acceleration acting on that mass, Freestream density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude, 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 & Maximum Lift Coefficient is defined as the lift coefficient of the airfoil at stalling angle of attack.

How to calculate Liftoff velocity for given weight?

Liftoff Velocity for Given Weight is a measure of the minimum velocity required for an object to lift off the ground, calculated based on the weight, free stream density, reference area, and maximum lift coefficient is calculated using Liftoff velocity = 1.2*(sqrt((2*Weight)/(Freestream Density*Reference Area*Maximum Lift Coefficient))). To calculate Liftoff velocity for given weight, you need Weight (W), Freestream Density (ρ_∞), Reference Area (S) & Maximum Lift Coefficient (C_L,max). With our tool, you need to enter the respective value for Weight, Freestream Density, Reference Area & Maximum Lift Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Liftoff velocity?

In this formula, Liftoff velocity uses Weight, Freestream Density, Reference Area & Maximum Lift Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -

Liftoff velocity = 1.2*Stall Velocity

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