Forces Acting Perpendicular to Body on Flight Path Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lift Force = Weight*cos(Angle of Inclination)-Mass*(Velocity^2)/Radius
FL = W*cos(θi)-M*(v^2)/r
This formula uses 1 Functions, 6 Variables
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
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.
Weight - (Measured in Kilogram) - Weight is a body's relative mass or the quantity of matter contained by it.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
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 - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve.
STEP 1: Convert Input(s) to Base Unit
Weight: 60000 Kilogram --> 60000 Kilogram No Conversion Required
Angle of Inclination: 12.771 Degree --> 0.222895998772154 Radian (Check conversion here)
Mass: 32.23 Kilogram --> 32.23 Kilogram No Conversion Required
Velocity: 48 Meter per Second --> 48 Meter per Second No Conversion Required
Radius: 2355 Millimeter --> 2.355 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
FL = W*cos(θi)-M*(v^2)/r --> 60000*cos(0.222895998772154)-32.23*(48^2)/2.355
Evaluating ... ...
FL = 26983.6564321135
STEP 3: Convert Result to Output's Unit
26983.6564321135 Newton --> No Conversion Required
FINAL ANSWER
26983.6564321135 26983.66 Newton <-- Lift Force
(Calculation completed in 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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K J Somaiya College of Engineering (K J Somaiya), Mumbai
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9 Hypersonic Flight Paths Velocity of Altitude Map Calculators

Forces Acting Perpendicular to Body on Flight Path
Go Lift Force = Weight*cos(Angle of Inclination)-Mass*(Velocity^2)/Radius
Pressure Ratio of Blunt-Nosed Cylinder (First Approximation)
Go Pressure Ratio = 0.067*Mach Number^2*sqrt(Drag Coefficient)/(Distance from X-Axis/Diameter)
Forces Acting on Body along Flight Path
Go Drag force along flight path = Weight*sin(Angle of Inclination)-Mass*Velocity Gradient
Radial Coordinate of Blunt-Nosed Cylinder (First Approximation)
Go Radial Coordinate = 0.795*Diameter*Drag Coefficient^(1/4)*(Distance from X-Axis/Diameter)^(1/2)
Blunt-Nosed Radial Coordinate Flat Plate (First Approximation)
Go Radial Coordinate = 0.774*Drag Coefficient^(1/3)*(Distance from X-Axis/Diameter)^(2/3)
Radius for Cylinder-Wedge Body Shape
Go Radius = Radius of Curvature/(1.386*exp(1.8/(Mach Number-1)^0.75))
Radius for Sphere-Cone Body Shape
Go Radius = Radius of Curvature/(1.143*exp(0.54/(Mach Number-1)^1.2))
Radius of Curvature for Cylinder Wedge Body Shape
Go Radius of Curvature = Radius*1.386*exp(1.8/(Mach Number-1)^0.75)
Radius of Curvature for Sphere Cone Body Shape
Go Radius of Curvature = Radius*1.143*exp(0.54/(Mach Number-1)^1.2)

Forces Acting Perpendicular to Body on Flight Path Formula

Lift Force = Weight*cos(Angle of Inclination)-Mass*(Velocity^2)/Radius
FL = W*cos(θi)-M*(v^2)/r

What are the forces acting perpendicular to the body in flight?

There are many forces acting on the body during the flight including the drag, thrust, weight of body etc.

How to Calculate Forces Acting Perpendicular to Body on Flight Path?

Forces Acting Perpendicular to Body on Flight Path calculator uses Lift Force = Weight*cos(Angle of Inclination)-Mass*(Velocity^2)/Radius to calculate the Lift Force, The Forces acting Perpendicular to body on flight path formula is defined as the lift force minus the weight of the body at an inclination equal to the product mass of the body in hypersonic flow and velocity gradient. Lift Force is denoted by FL symbol.

How to calculate Forces Acting Perpendicular to Body on Flight Path using this online calculator? To use this online calculator for Forces Acting Perpendicular to Body on Flight Path, enter Weight (W), Angle of Inclination i), Mass (M), Velocity (v) & Radius (r) and hit the calculate button. Here is how the Forces Acting Perpendicular to Body on Flight Path calculation can be explained with given input values -> -31473.509796 = 60000*cos(0.222895998772154)-32.23*(48^2)/2.355.

FAQ

What is Forces Acting Perpendicular to Body on Flight Path?
The Forces acting Perpendicular to body on flight path formula is defined as the lift force minus the weight of the body at an inclination equal to the product mass of the body in hypersonic flow and velocity gradient and is represented as FL = W*cos(θi)-M*(v^2)/r or Lift Force = Weight*cos(Angle of Inclination)-Mass*(Velocity^2)/Radius. Weight is a body's relative mass or the quantity of matter contained by it, Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians, Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, 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 is a radial line from the focus to any point of a curve.
How to calculate Forces Acting Perpendicular to Body on Flight Path?
The Forces acting Perpendicular to body on flight path formula is defined as the lift force minus the weight of the body at an inclination equal to the product mass of the body in hypersonic flow and velocity gradient is calculated using Lift Force = Weight*cos(Angle of Inclination)-Mass*(Velocity^2)/Radius. To calculate Forces Acting Perpendicular to Body on Flight Path, you need Weight (W), Angle of Inclination i), Mass (M), Velocity (v) & Radius (r). With our tool, you need to enter the respective value for Weight, Angle of Inclination, Mass, Velocity & Radius 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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