Force exerted by body on supersonic plane Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force = (Density of Fluid Circulating*(Length of Aeroplane^2)*(Velocity of Body or Fluid^2))*((Dynamic Viscosity of Fluid)/(Density of Fluid Circulating*Velocity of Body or Fluid*Length of Aeroplane))*((Bulk Modulus)/(Density of Fluid Circulating*Velocity of Body or Fluid^2))
F = (ρ*(ΔL^2)*(v^2))*((μd)/(ρ*v*ΔL))*((K)/(ρ*v^2))
This formula uses 6 Variables
Variables Used
Force - (Measured in Newton) - Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system.
Density of Fluid Circulating - (Measured in Kilogram per Cubic Meter) - Density of fluid circulating is the density of the fluid that is circulating or say flowing around a body.
Length of Aeroplane - (Measured in Meter) - The Length of Aeroplane is the length of the plane, measured from the nose to the tail.
Velocity of Body or Fluid - (Measured in Meter per Second) - Velocity of body or fluid is the speed at which the body is moving in the fluid or with which the fluid is flowing around the body.
Dynamic Viscosity of Fluid - (Measured in Pascal Second) - Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied.
Bulk Modulus - (Measured in Pascal) - The Bulk Modulus is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume.
STEP 1: Convert Input(s) to Base Unit
Density of Fluid Circulating: 1.21 Kilogram per Cubic Meter --> 1.21 Kilogram per Cubic Meter No Conversion Required
Length of Aeroplane: 52 Meter --> 52 Meter No Conversion Required
Velocity of Body or Fluid: 32 Meter per Second --> 32 Meter per Second No Conversion Required
Dynamic Viscosity of Fluid: 0.075 Poise --> 0.0075 Pascal Second (Check conversion here)
Bulk Modulus: 2000 Pascal --> 2000 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = (ρ*(ΔL^2)*(v^2))*((μd)/(ρ*v*ΔL))*((K)/(ρ*v^2)) --> (1.21*(52^2)*(32^2))*((0.0075)/(1.21*32*52))*((2000)/(1.21*32^2))
Evaluating ... ...
F = 20.1446280991736
STEP 3: Convert Result to Output's Unit
20.1446280991736 Newton --> No Conversion Required
FINAL ANSWER
20.1446280991736 20.14463 Newton <-- Force
(Calculation completed in 00.020 seconds)

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11 Drag and Forces Calculators

Force exerted by body on supersonic plane
Go Force = (Density of Fluid Circulating*(Length of Aeroplane^2)*(Velocity of Body or Fluid^2))*((Dynamic Viscosity of Fluid)/(Density of Fluid Circulating*Velocity of Body or Fluid*Length of Aeroplane))*((Bulk Modulus)/(Density of Fluid Circulating*Velocity of Body or Fluid^2))
Total force exerted by fluid on body
Go Force = (Coefficient of Drag for Body in Fluid*Projected Area of Body*Density of Fluid Circulating*(Velocity of Body or Fluid^2)/2)+(Lift Coefficient for Body in Fluid*Projected Area of Body*Density of Fluid Circulating*(Velocity of Body or Fluid^2)/2)
Drag Force for body moving in Fluid
Go Drag Force on Body in Fluid = (Coefficient of Drag for Body in Fluid*Projected Area of Body*Mass of Flowing Fluid*(Velocity of Body or Fluid)^2)/(Volume of Flowing Fluid*2)
Area of body for Lift Force in body moving on Fluid
Go Projected Area of Body = Lift Force on Body in Fluid/(Lift Coefficient for Body in Fluid*0.5*Density of Fluid Circulating*(Velocity of Body or Fluid^2))
Drag Force for body moving in Fluid of Certain Density
Go Drag Force on Body in Fluid = Coefficient of Drag for Body in Fluid*Projected Area of Body*Density of Fluid Circulating*(Velocity of Body or Fluid^2)/2
Skin Friction Drag from Total Drag Force on Sphere
Go Skin Friction Drag on Sphere = 2*pi*Dynamic Viscosity of Fluid*Diameter of Sphere in Fluid*Velocity of Body or Fluid
Pressure Drag from Total Drag Force on Sphere
Go Pressure Drag Force on Sphere = pi*Dynamic Viscosity of Fluid*Diameter of Sphere in Fluid*Velocity of Body or Fluid
Total Drag force on Sphere
Go Total Drag Force on Sphere = 3*pi*Dynamic Viscosity of Fluid*Diameter of Sphere in Fluid*Velocity of Body or Fluid
Power Required to Keep Flat Plate in Motion
Go Power to Keep Plate in Motion = Drag Force on Body in Fluid*Velocity of Body or Fluid
Coefficient of drag for sphere in Oseen formula when Reynolds number is between 0.2 and 5
Go Coefficient of Drag for Sphere = (24/Reynolds Number)*(1+(3/(16*Reynolds Number)))
Coefficient of drag for sphere in stoke's law when Reynolds number is less than 0.2
Go Coefficient of Drag for Sphere = 24/Reynolds Number

Force exerted by body on supersonic plane Formula

Force = (Density of Fluid Circulating*(Length of Aeroplane^2)*(Velocity of Body or Fluid^2))*((Dynamic Viscosity of Fluid)/(Density of Fluid Circulating*Velocity of Body or Fluid*Length of Aeroplane))*((Bulk Modulus)/(Density of Fluid Circulating*Velocity of Body or Fluid^2))
F = (ρ*(ΔL^2)*(v^2))*((μd)/(ρ*v*ΔL))*((K)/(ρ*v^2))

What is super sonic speed ?

Supersonic speed is the speed of an object that exceeds the speed of sound. For objects traveling in dry air of a temperature of 20 °C at sea level, this speed is approximately 343.2 m/s. Speeds greater than five times the speed of sound are often referred to as hypersonic.

What is force with example?

Force is defined as an external cause that changes or tends to change the state of the body once applied, if the body is in motion it comes to rest and if at rest then will come to motion. Example: Pushing or pulling a door by applying force.

How to Calculate Force exerted by body on supersonic plane?

Force exerted by body on supersonic plane calculator uses Force = (Density of Fluid Circulating*(Length of Aeroplane^2)*(Velocity of Body or Fluid^2))*((Dynamic Viscosity of Fluid)/(Density of Fluid Circulating*Velocity of Body or Fluid*Length of Aeroplane))*((Bulk Modulus)/(Density of Fluid Circulating*Velocity of Body or Fluid^2)) to calculate the Force, The Force exerted by body on supersonic plane formula is defined as a push or pull upon an object resulting from the object's interaction with another object. Force is denoted by F symbol.

How to calculate Force exerted by body on supersonic plane using this online calculator? To use this online calculator for Force exerted by body on supersonic plane, enter Density of Fluid Circulating (ρ), Length of Aeroplane (ΔL), Velocity of Body or Fluid (v), Dynamic Viscosity of Fluid d) & Bulk Modulus (K) and hit the calculate button. Here is how the Force exerted by body on supersonic plane calculation can be explained with given input values -> 20.14463 = (1.21*(52^2)*(32^2))*((0.0075)/(1.21*32*52))*((2000)/(1.21*32^2)).

FAQ

What is Force exerted by body on supersonic plane?
The Force exerted by body on supersonic plane formula is defined as a push or pull upon an object resulting from the object's interaction with another object and is represented as F = (ρ*(ΔL^2)*(v^2))*((μd)/(ρ*v*ΔL))*((K)/(ρ*v^2)) or Force = (Density of Fluid Circulating*(Length of Aeroplane^2)*(Velocity of Body or Fluid^2))*((Dynamic Viscosity of Fluid)/(Density of Fluid Circulating*Velocity of Body or Fluid*Length of Aeroplane))*((Bulk Modulus)/(Density of Fluid Circulating*Velocity of Body or Fluid^2)). Density of fluid circulating is the density of the fluid that is circulating or say flowing around a body, The Length of Aeroplane is the length of the plane, measured from the nose to the tail, Velocity of body or fluid is the speed at which the body is moving in the fluid or with which the fluid is flowing around the body, Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied & The Bulk Modulus is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume.
How to calculate Force exerted by body on supersonic plane?
The Force exerted by body on supersonic plane formula is defined as a push or pull upon an object resulting from the object's interaction with another object is calculated using Force = (Density of Fluid Circulating*(Length of Aeroplane^2)*(Velocity of Body or Fluid^2))*((Dynamic Viscosity of Fluid)/(Density of Fluid Circulating*Velocity of Body or Fluid*Length of Aeroplane))*((Bulk Modulus)/(Density of Fluid Circulating*Velocity of Body or Fluid^2)). To calculate Force exerted by body on supersonic plane, you need Density of Fluid Circulating (ρ), Length of Aeroplane (ΔL), Velocity of Body or Fluid (v), Dynamic Viscosity of Fluid d) & Bulk Modulus (K). With our tool, you need to enter the respective value for Density of Fluid Circulating, Length of Aeroplane, Velocity of Body or Fluid, Dynamic Viscosity of Fluid & Bulk Modulus 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 Force?
In this formula, Force uses Density of Fluid Circulating, Length of Aeroplane, Velocity of Body or Fluid, Dynamic Viscosity of Fluid & Bulk Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Force = (Coefficient of Drag for Body in Fluid*Projected Area of Body*Density of Fluid Circulating*(Velocity of Body or Fluid^2)/2)+(Lift Coefficient for Body in Fluid*Projected Area of Body*Density of Fluid Circulating*(Velocity of Body or Fluid^2)/2)
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