Projected Area given Drag Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cross Sectional Area of Pipe = Drag Force/(Coefficient of Drag*Mean Velocity*Mean Velocity*Density of Fluid*0.5)
A = FD/(CD*Vmean*Vmean*ρ*0.5)
This formula uses 5 Variables
Variables Used
Cross Sectional Area of Pipe - (Measured in Square Meter) - Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Coefficient of Drag - The Coefficient of Drag is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
STEP 1: Convert Input(s) to Base Unit
Drag Force: 1.1 Kilonewton --> 1100 Newton (Check conversion here)
Coefficient of Drag: 0.01 --> No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Density of Fluid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = FD/(CD*Vmean*Vmean*ρ*0.5) --> 1100/(0.01*10.1*10.1*1000*0.5)
Evaluating ... ...
A = 2.15665130869523
STEP 3: Convert Result to Output's Unit
2.15665130869523 Square Meter --> No Conversion Required
FINAL ANSWER
2.15665130869523 2.156651 Square Meter <-- Cross Sectional Area of Pipe
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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18 Laminar Flow around a Sphere– Stokes’ Law Calculators

Coefficient of Drag given Drag Force
Go Coefficient of Drag = Drag Force/(Cross Sectional Area of Pipe*Mean Velocity*Mean Velocity*Density of Fluid*0.5)
Density of Fluid given Drag Force
Go Density of Fluid = Drag Force/(Cross Sectional Area of Pipe*Mean Velocity*Mean Velocity*Coefficient of Drag*0.5)
Projected Area given Drag Force
Go Cross Sectional Area of Pipe = Drag Force/(Coefficient of Drag*Mean Velocity*Mean Velocity*Density of Fluid*0.5)
Drag Force given Coefficient of Drag
Go Drag Force = Coefficient of Drag*Cross Sectional Area of Pipe*Mean Velocity*Mean Velocity*Density of Fluid*0.5
Coefficient of Drag given density
Go Coefficient of Drag = (24*Drag Force*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Diameter of Sphere)
Dynamic Viscosity of fluid given Terminal Fall Velocity
Go Dynamic Viscosity = ((Diameter of Sphere^2)/(18*Terminal Velocity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)
Terminal Fall Velocity
Go Terminal Velocity = ((Diameter of Sphere^2)/(18*Dynamic Viscosity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)
Velocity of Sphere given Drag Force
Go Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5))
Velocity of Sphere given Coefficient of Drag
Go Mean Velocity = (24*Dynamic Viscosity)/(Density of Fluid*Coefficient of Drag*Diameter of Sphere)
Diameter of Sphere given Coefficient of Drag
Go Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag)
Diameter of Sphere for given Fall Velocity
Go Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid))
Dynamic Viscosity of fluid given Resistance Force on Spherical Surface
Go Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity)
Velocity of Sphere given Resistance Force on Spherical Surface
Go Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)
Diameter of Sphere given Resistance Force on Spherical Surface
Go Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)
Resistance Force on Spherical Surface
Go Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere
Resistance Force on Spherical Surface given Specific Weights
Go Resistance Force = (pi/6)*(Diameter of Sphere^3)*(Specific Weight of Liquid)
Reynolds Number given Coefficient of Drag
Go Reynolds Number = 24/Coefficient of Drag
Coefficient of Drag given Reynolds Number
Go Coefficient of Drag = 24/Reynolds Number

Projected Area given Drag Force Formula

Cross Sectional Area of Pipe = Drag Force/(Coefficient of Drag*Mean Velocity*Mean Velocity*Density of Fluid*0.5)
A = FD/(CD*Vmean*Vmean*ρ*0.5)

What is Coefficient of Drag?

In fluid dynamics, the drag coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water. It is used in the drag equation in which a lower drag coefficient indicates the object will have less aerodynamic or hydrodynamic drag.

How to Calculate Projected Area given Drag Force?

Projected Area given Drag Force calculator uses Cross Sectional Area of Pipe = Drag Force/(Coefficient of Drag*Mean Velocity*Mean Velocity*Density of Fluid*0.5) to calculate the Cross Sectional Area of Pipe, The Projected Area given Drag Force is defined as the exposed area over which force is applied on flow path. Cross Sectional Area of Pipe is denoted by A symbol.

How to calculate Projected Area given Drag Force using this online calculator? To use this online calculator for Projected Area given Drag Force, enter Drag Force (FD), Coefficient of Drag (CD), Mean Velocity (Vmean) & Density of Fluid (ρ) and hit the calculate button. Here is how the Projected Area given Drag Force calculation can be explained with given input values -> 54.89658 = 1100/(0.01*10.1*10.1*1000*0.5).

FAQ

What is Projected Area given Drag Force?
The Projected Area given Drag Force is defined as the exposed area over which force is applied on flow path and is represented as A = FD/(CD*Vmean*Vmean*ρ*0.5) or Cross Sectional Area of Pipe = Drag Force/(Coefficient of Drag*Mean Velocity*Mean Velocity*Density of Fluid*0.5). Drag Force is the resisting force experienced by an object moving through a fluid, The Coefficient of Drag is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & Density of Fluid is the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
How to calculate Projected Area given Drag Force?
The Projected Area given Drag Force is defined as the exposed area over which force is applied on flow path is calculated using Cross Sectional Area of Pipe = Drag Force/(Coefficient of Drag*Mean Velocity*Mean Velocity*Density of Fluid*0.5). To calculate Projected Area given Drag Force, you need Drag Force (FD), Coefficient of Drag (CD), Mean Velocity (Vmean) & Density of Fluid (ρ). With our tool, you need to enter the respective value for Drag Force, Coefficient of Drag, Mean Velocity & Density of Fluid 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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