Lifting Force given Friction Force due to Rolling Resistance Calculator

✖Mass Aircraft is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass Aircraft [M_Aircraft]			+10% -10%
✖Angle between Runway and Horizontal Plane is denoted by Φ.ⓘ Angle between Runway and Horizontal Plane [Φ]			+10% -10%
✖Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.ⓘ Force of Friction [F_Friction]			+10% -10%
✖Coefficient of Rolling Friction is the ratio of the force of rolling friction to the total weight of the object.ⓘ Coefficient of Rolling Friction [μ_r]			+10% -10%

✖Lifting Force of Aircraft provided by the wing-body of the vehicle. Lift is defined as the component of the aerodynamic force that is perpendicular to the flow direction.ⓘ Lifting Force given Friction Force due to Rolling Resistance [L_Aircraft]

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Lifting Force given Friction Force due to Rolling Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lifting Force of Aircraft = (((Mass Aircraft*[g]*cos(Angle between Runway and Horizontal Plane))-(Force of Friction/Coefficient of Rolling Friction)))
L_Aircraft = (((M_Aircraft*[g]*cos(Φ))-(F_Friction/μ_r)))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

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

Functions Used

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

Lifting Force of Aircraft - (Measured in Kilonewton) - Lifting Force of Aircraft provided by the wing-body of the vehicle. Lift is defined as the component of the aerodynamic force that is perpendicular to the flow direction.
Mass Aircraft - (Measured in Kilogram) - Mass Aircraft is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Angle between Runway and Horizontal Plane - Angle between Runway and Horizontal Plane is denoted by Φ.
Force of Friction - (Measured in Kilonewton) - Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.
Coefficient of Rolling Friction - Coefficient of Rolling Friction is the ratio of the force of rolling friction to the total weight of the object.

STEP 1: Convert Input(s) to Base Unit

Mass Aircraft: 50000 Kilogram --> 50000 Kilogram No Conversion Required
Angle between Runway and Horizontal Plane: 5 --> No Conversion Required
Force of Friction: 4125 Kilonewton --> 4125 Kilonewton No Conversion Required
Coefficient of Rolling Friction: 0.03 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Aircraft = (((M_Aircraft*[g]*cos(Φ))-(F_Friction/μ_r))) --> (((50000*[g]*cos(5))-(4125/0.03)))

Evaluating ... ...

L_Aircraft = 1588.78855364738

STEP 3: Convert Result to Output's Unit

1588788.55364738 Newton -->1588.78855364738 Kilonewton (Check conversion here)

FINAL ANSWER

1588.78855364738 ≈ 1588.789 Kilonewton <-- Lifting Force of Aircraft

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< Aircraft Runway Length Estimation Calculators

Operating Empty Weight when Desired Take-off Weight is considered

LaTeX Go Operating Empty Weight = Desired Takeoff Weight of Aircraft-Payload Carried-Fuel Weight to be carried

Payload carried when desired take-off weight is considered

LaTeX Go Payload Carried = Desired Takeoff Weight of Aircraft-Operating Empty Weight-Fuel Weight to be carried

Fuel Weight to be Carried given Desired Takeoff Weight

LaTeX Go Fuel Weight to be carried = Desired Takeoff Weight of Aircraft-Payload Carried-Operating Empty Weight

Desired Take off Weight

LaTeX Go Desired Takeoff Weight of Aircraft = Payload Carried+Operating Empty Weight+Fuel Weight to be carried

Lifting Force given Friction Force due to Rolling Resistance Formula

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What is Rolling resistance?

Rolling resistance, sometimes called rolling friction or rolling drag, is the force resisting the motion when a body rolls on a surface. It is mainly caused by non-elastic effects; that is, not all the energy needed for deformation of the wheel, roadbed, etc., is recovered when the pressure is removed.

what is lift coefficient in flight?

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. A lifting body is a foil or a complete foil-bearing body such as a fixed-wing aircraft.

How to Calculate Lifting Force given Friction Force due to Rolling Resistance?

Lifting Force given Friction Force due to Rolling Resistance calculator uses Lifting Force of Aircraft = (((Mass Aircraft*[g]*cos(Angle between Runway and Horizontal Plane))-(Force of Friction/Coefficient of Rolling Friction))) to calculate the Lifting Force of Aircraft, Lifting Force given Friction Force due to Rolling Resistance is defined as force that directly opposes weight of airplane and holds airplane in air. Lifting Force of Aircraft is denoted by L_Aircraft symbol.

How to calculate Lifting Force given Friction Force due to Rolling Resistance using this online calculator? To use this online calculator for Lifting Force given Friction Force due to Rolling Resistance, enter Mass Aircraft (M_Aircraft), Angle between Runway and Horizontal Plane (Φ), Force of Friction (F_Friction) & Coefficient of Rolling Friction (μ_r) and hit the calculate button. Here is how the Lifting Force given Friction Force due to Rolling Resistance calculation can be explained with given input values -> 1.588789 = (((50000*[g]*cos(5))-(4125000/0.03))).

FAQ

What is Lifting Force given Friction Force due to Rolling Resistance?

Lifting Force given Friction Force due to Rolling Resistance is defined as force that directly opposes weight of airplane and holds airplane in air and is represented as L_Aircraft = (((M_Aircraft*[g]*cos(Φ))-(F_Friction/μ_r))) or Lifting Force of Aircraft = (((Mass Aircraft*[g]*cos(Angle between Runway and Horizontal Plane))-(Force of Friction/Coefficient of Rolling Friction))). Mass Aircraft is the quantity of matter in a body regardless of its volume or of any forces acting on it, Angle between Runway and Horizontal Plane is denoted by Φ, Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force & Coefficient of Rolling Friction is the ratio of the force of rolling friction to the total weight of the object.

How to calculate Lifting Force given Friction Force due to Rolling Resistance?

Lifting Force given Friction Force due to Rolling Resistance is defined as force that directly opposes weight of airplane and holds airplane in air is calculated using Lifting Force of Aircraft = (((Mass Aircraft*[g]*cos(Angle between Runway and Horizontal Plane))-(Force of Friction/Coefficient of Rolling Friction))). To calculate Lifting Force given Friction Force due to Rolling Resistance, you need Mass Aircraft (M_Aircraft), Angle between Runway and Horizontal Plane (Φ), Force of Friction (F_Friction) & Coefficient of Rolling Friction (μ_r). With our tool, you need to enter the respective value for Mass Aircraft, Angle between Runway and Horizontal Plane, Force of Friction & Coefficient of Rolling Friction 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 Lifting Force of Aircraft?

In this formula, Lifting Force of Aircraft uses Mass Aircraft, Angle between Runway and Horizontal Plane, Force of Friction & Coefficient of Rolling Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -

Lifting Force of Aircraft = 0.5*Density Altitude for flying*Vehicle Speed^2*Aircraft Gross Wing Area*Lift Coefficient

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