Forces Acting on Body along Flight Path Calculator

✖Weight is a body's relative mass or the quantity of matter contained by it.ⓘ Weight [W]			+10% -10%
✖Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.ⓘ Angle of Inclination [θ_i]			+10% -10%
✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [M]			+10% -10%
✖Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.ⓘ Velocity Gradient [VG]			+10% -10%

✖Drag force along flight path is the resisting force experienced by an object moving through a fluid.ⓘ Forces Acting on Body along Flight Path [F_D]

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Formula

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Forces Acting on Body along Flight Path

Formula

`"F"_{"D"} = "W"*sin("θ"_{"i"})-"M"*"VG"`

Example

`"12618.69N"="60000kg"*sin("12.771°")-"32.23kg"*"20m/s"`

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Forces Acting on Body along Flight Path Solution

STEP 0: Pre-Calculation Summary

Formula Used

Drag force along flight path = Weight*sin(Angle of Inclination)-Mass*Velocity Gradient
F_D = W*sin(θ_i)-M*VG
This formula uses 1 Functions, 5 Variables

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)

Variables Used

Drag force along flight path - (Measured in Newton) - Drag force along flight path is the resisting force experienced by an object moving through a fluid.
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 Gradient - (Measured in Meter per Second) - Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.

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 Gradient: 20 Meter per Second --> 20 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_D = W*sin(θ_i)-M*VG --> 60000*sin(0.222895998772154)-32.23*20

Evaluating ... ...

F_D = 12618.6941092591

STEP 3: Convert Result to Output's Unit

12618.6941092591 Newton --> No Conversion Required

FINAL ANSWER

12618.6941092591 ≈ 12618.69 Newton <-- Drag force along flight path

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Flight Paths Velocity of Altitude Map » Forces Acting on Body along Flight Path

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Rushi Shah

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 on Body along Flight Path Formula

Drag force along flight path = Weight*sin(Angle of Inclination)-Mass*Velocity Gradient
F_D = W*sin(θ_i)-M*VG

What are the forces acting along 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 on Body along Flight Path?

Forces Acting on Body along Flight Path calculator uses Drag force along flight path = Weight*sin(Angle of Inclination)-Mass*Velocity Gradient to calculate the Drag force along flight path, Forces acting on body along flight path is defined as weight of bod at an angle minus the drag acting on the body is equal to the product of mass of the body and velocity gradient. Drag force along flight path is denoted by F_D symbol.

How to calculate Forces Acting on Body along Flight Path using this online calculator? To use this online calculator for Forces Acting on Body along Flight Path, enter Weight (W), Angle of Inclination (θ_i), Mass (M) & Velocity Gradient (VG) and hit the calculate button. Here is how the Forces Acting on Body along Flight Path calculation can be explained with given input values -> -631.336706 = 60000*sin(0.222895998772154)-32.23*20.

FAQ

What is Forces Acting on Body along Flight Path?

Forces acting on body along flight path is defined as weight of bod at an angle minus the drag acting on the body is equal to the product of mass of the body and velocity gradient and is represented as F_D = W*sin(θ_i)-M*VG or Drag force along flight path = Weight*sin(Angle of Inclination)-Mass*Velocity Gradient. 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 Gradient is the difference in velocity between the adjacent layers of the fluid.

How to calculate Forces Acting on Body along Flight Path?

Forces acting on body along flight path is defined as weight of bod at an angle minus the drag acting on the body is equal to the product of mass of the body and velocity gradient is calculated using Drag force along flight path = Weight*sin(Angle of Inclination)-Mass*Velocity Gradient. To calculate Forces Acting on Body along Flight Path, you need Weight (W), Angle of Inclination (θ_i), Mass (M) & Velocity Gradient (VG). With our tool, you need to enter the respective value for Weight, Angle of Inclination, Mass & Velocity Gradient 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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