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)))
LAircraft = (((MAircraft*[g]*cos(Φ))-(FFriction/μr)))
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
LAircraft = (((MAircraft*[g]*cos(Φ))-(FFrictionr))) --> (((50000*[g]*cos(5))-(4125/0.03)))
Evaluating ... ...
LAircraft = 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 00.020 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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11 Aircraft Runway Length Estimation Calculators

Lifting Force given Friction Force due to Rolling Resistance
Go Lifting Force of Aircraft = (((Mass Aircraft*[g]*cos(Angle between Runway and Horizontal Plane))-(Force of Friction/Coefficient of Rolling Friction)))
Vehicle Speed for Lifting Force Provided by Wing Body of Vehicle
Go Vehicle Speed = sqrt((Lifting Force of Aircraft/(0.5*Density Altitude for flying*Aircraft Gross Wing Area*Lift Coefficient)))
Lift Coefficient for Lifting Force Provided by Wing Body of Vehicle
Go Lift Coefficient = Lifting Force of Aircraft/(0.5*Density Altitude for flying*(Vehicle Speed^2)*Aircraft Gross Wing Area)
Lifting Force Provided by Wing Body of Vehicle
Go Lifting Force of Aircraft = 0.5*Density Altitude for flying*Vehicle Speed^2*Aircraft Gross Wing Area*Lift Coefficient
Operating Empty Weight when Desired Take-off Weight is considered
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
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
Go Fuel Weight to be carried = Desired Takeoff Weight of Aircraft-Payload Carried-Operating Empty Weight
Desired Take off Weight
Go Desired Takeoff Weight of Aircraft = Payload Carried+Operating Empty Weight+Fuel Weight to be carried
True Mach number when true aircraft speed
Go True Mach Number = True Aircraft Speed/Speed of Sound
True Aircraft Speed (Mach number)
Go True Aircraft Speed = Speed of Sound*True Mach Number
Speed of Sound (Mach number)
Go Speed of Sound = True Aircraft Speed/True Mach Number

Lifting Force given Friction Force due to Rolling Resistance Formula

Lifting Force of Aircraft = (((Mass Aircraft*[g]*cos(Angle between Runway and Horizontal Plane))-(Force of Friction/Coefficient of Rolling Friction)))
LAircraft = (((MAircraft*[g]*cos(Φ))-(FFriction/μr)))

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 LAircraft 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 (MAircraft), Angle between Runway and Horizontal Plane (Φ), Force of Friction (FFriction) & Coefficient of Rolling Friction 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 LAircraft = (((MAircraft*[g]*cos(Φ))-(FFrictionr))) 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 (MAircraft), Angle between Runway and Horizontal Plane (Φ), Force of Friction (FFriction) & Coefficient of Rolling Friction 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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