Lift in Accelerated Flight Calculator

✖Mass of Aircraft is the total mass of the plane at any phase of its mission.ⓘ Mass of Aircraft [m]			+10% -10%
✖Flight Path Angle is defined as the angle between horizontal and the flight velocity vector, which describes whether the aircraft is climbing or descending.ⓘ Flight Path Angle [γ]			+10% -10%
✖Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity [v]			+10% -10%
✖The Radius of Curvature refers to the radius of the curved path an aircraft follows while climbing.ⓘ Radius of Curvature [R_curvature]			+10% -10%
✖Thrust denotes the force exerted by the engine to propel an aircraft forward.ⓘ Thrust [T]			+10% -10%
✖Thrust angle is defined as the angle between thrust vector and flight path (or flight velocity) direction.ⓘ Thrust Angle [σ_T]			+10% -10%

✖The Lift Force, lifting force or simply lift is the sum of all the forces on a body that force it to move perpendicular to the direction of flow.ⓘ Lift in Accelerated Flight [F_L]

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Lift in Accelerated Flight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lift Force = Mass of Aircraft*[g]*cos(Flight Path Angle)+Mass of Aircraft*Velocity^2/Radius of Curvature-Thrust*sin(Thrust Angle)
F_L = m*[g]*cos(γ)+m*v^2/R_curvature-T*sin(σ_T)
This formula uses 1 Constants, 2 Functions, 7 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Lift Force - (Measured in Newton) - The Lift Force, lifting force or simply lift is the sum of all the forces on a body that force it to move perpendicular to the direction of flow.
Mass of Aircraft - (Measured in Kilogram) - Mass of Aircraft is the total mass of the plane at any phase of its mission.
Flight Path Angle - (Measured in Radian) - Flight Path Angle is defined as the angle between horizontal and the flight velocity vector, which describes whether the aircraft is climbing or descending.
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Radius of Curvature - (Measured in Meter) - The Radius of Curvature refers to the radius of the curved path an aircraft follows while climbing.
Thrust - (Measured in Newton) - Thrust denotes the force exerted by the engine to propel an aircraft forward.
Thrust Angle - (Measured in Radian) - Thrust angle is defined as the angle between thrust vector and flight path (or flight velocity) direction.

STEP 1: Convert Input(s) to Base Unit

Mass of Aircraft: 20 Kilogram --> 20 Kilogram No Conversion Required
Flight Path Angle: 0.062 Radian --> 0.062 Radian No Conversion Required
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Radius of Curvature: 2600 Meter --> 2600 Meter No Conversion Required
Thrust: 700 Newton --> 700 Newton No Conversion Required
Thrust Angle: 0.034 Radian --> 0.034 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_L = m*[g]*cos(γ)+m*v^2/R_curvature-T*sin(σ_T) --> 20*[g]*cos(0.062)+20*60^2/2600-700*sin(0.034)

Evaluating ... ...

F_L = 199.653046007766

STEP 3: Convert Result to Output's Unit

199.653046007766 Newton --> No Conversion Required

FINAL ANSWER

199.653046007766 ≈ 199.653 Newton <-- Lift Force

(Calculation completed in 00.020 seconds)

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Credits

Created by Vinay Mishra

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

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

< Climbing Flight Calculators

Flight path angle at given rate of climb

LaTeX Go Flight Path Angle = asin(Rate of Climb/Velocity)

Velocity of aircraft at given rate of climb

LaTeX Go Velocity = Rate of Climb/sin(Flight Path Angle)

Rate of Climb

LaTeX Go Rate of Climb = Velocity*sin(Flight Path Angle)

Weight of Aircraft for given Excess Power

LaTeX Go Aircraft Weight = Excess Power/Rate of Climb

Lift in Accelerated Flight Formula

LaTeX Go

Lift Force = Mass of Aircraft*[g]*cos(Flight Path Angle)+Mass of Aircraft*Velocity^2/Radius of Curvature-Thrust*sin(Thrust Angle)
F_L = m*[g]*cos(γ)+m*v^2/R_curvature-T*sin(σ_T)

What happens to the lift if thrust increase?

If the thrust of an aircraft is increased, the aircraft will accelerate and the velocity will increase.

How to Calculate Lift in Accelerated Flight?

Lift in Accelerated Flight calculator uses Lift Force = Mass of Aircraft*[g]*cos(Flight Path Angle)+Mass of Aircraft*Velocity^2/Radius of Curvature-Thrust*sin(Thrust Angle) to calculate the Lift Force, The Lift in Accelerated Flight is the aerodynamic force generated by the wings (or lifting surfaces) of the aircraft as it moves through the air. It acts perpendicular to the relative wind and is essential for counteracting the aircraft's weight to keep it aloft, the lift force acting on an aircraft plays a crucial role in maintaining its trajectory, stability, and maneuverability. Lift Force is denoted by F_L symbol.

How to calculate Lift in Accelerated Flight using this online calculator? To use this online calculator for Lift in Accelerated Flight, enter Mass of Aircraft (m), Flight Path Angle (γ), Velocity (v), Radius of Curvature (R_curvature), Thrust (T) & Thrust Angle (σ_T) and hit the calculate button. Here is how the Lift in Accelerated Flight calculation can be explained with given input values -> 4971.961 = 20*[g]*cos(0.062)+20*60^2/radius_of_curvature_eom-700*sin(0.034).

FAQ

What is Lift in Accelerated Flight?

The Lift in Accelerated Flight is the aerodynamic force generated by the wings (or lifting surfaces) of the aircraft as it moves through the air. It acts perpendicular to the relative wind and is essential for counteracting the aircraft's weight to keep it aloft, the lift force acting on an aircraft plays a crucial role in maintaining its trajectory, stability, and maneuverability and is represented as F_L = m*[g]*cos(γ)+m*v^2/R_curvature-T*sin(σ_T) or Lift Force = Mass of Aircraft*[g]*cos(Flight Path Angle)+Mass of Aircraft*Velocity^2/Radius of Curvature-Thrust*sin(Thrust Angle). Mass of Aircraft is the total mass of the plane at any phase of its mission, Flight Path Angle is defined as the angle between horizontal and the flight velocity vector, which describes whether the aircraft is climbing or descending, Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time, The Radius of Curvature refers to the radius of the curved path an aircraft follows while climbing, Thrust denotes the force exerted by the engine to propel an aircraft forward & Thrust angle is defined as the angle between thrust vector and flight path (or flight velocity) direction.

How to calculate Lift in Accelerated Flight?

The Lift in Accelerated Flight is the aerodynamic force generated by the wings (or lifting surfaces) of the aircraft as it moves through the air. It acts perpendicular to the relative wind and is essential for counteracting the aircraft's weight to keep it aloft, the lift force acting on an aircraft plays a crucial role in maintaining its trajectory, stability, and maneuverability is calculated using Lift Force = Mass of Aircraft*[g]*cos(Flight Path Angle)+Mass of Aircraft*Velocity^2/Radius of Curvature-Thrust*sin(Thrust Angle). To calculate Lift in Accelerated Flight, you need Mass of Aircraft (m), Flight Path Angle (γ), Velocity (v), Radius of Curvature (R_curvature), Thrust (T) & Thrust Angle (σ_T). With our tool, you need to enter the respective value for Mass of Aircraft, Flight Path Angle, Velocity, Radius of Curvature, Thrust & Thrust Angle 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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