Velocity of Sphere given Drag Force Calculator

✖Drag Force is the resisting force experienced by an object moving through a fluid.ⓘ Drag Force [F_D]			+10% -10%
✖Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing.ⓘ Cross Sectional Area of Pipe [A]			+10% -10%
✖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.ⓘ Coefficient of Drag [C_D]			+10% -10%
✖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.ⓘ Density of Fluid [ρ]			+10% -10%

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Velocity of Sphere given Drag Force [V_mean]

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Formula

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Velocity of Sphere given Drag Force

Formula

`"V"_{"mean"} = sqrt("F"_{"D"}/("A"*"C"_{"D"}*"ρ"*0.5))`

Example

`"10.48809m/s"=sqrt("1.1kN"/("2m²"*"0.01"*"1000kg/m³"*0.5))`

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Download Laminar Flow around a Sphere– Stokes’ Law Formulas PDF

Velocity of Sphere given Drag Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5))
V_mean = sqrt(F_D/(A*C_D*ρ*0.5))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
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.
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.
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)
Cross Sectional Area of Pipe: 2 Square Meter --> 2 Square Meter No Conversion Required
Coefficient of Drag: 0.01 --> 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

V_mean = sqrt(F_D/(A*C_D*ρ*0.5)) --> sqrt(1100/(2*0.01*1000*0.5))

Evaluating ... ...

V_mean = 10.4880884817015

STEP 3: Convert Result to Output's Unit

10.4880884817015 Meter per Second --> No Conversion Required

FINAL ANSWER

10.4880884817015 ≈ 10.48809 Meter per Second <-- Mean Velocity

(Calculation completed in 00.020 seconds)

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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

Velocity of Sphere given Drag Force Formula

Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5))
V_mean = sqrt(F_D/(A*C_D*ρ*0.5))

What is Terminal Velocity?

Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example). It occurs when the sum of the drag force (Fd) and the buoyancy is equal to the downward force of gravity (FG) acting on the object.

How to Calculate Velocity of Sphere given Drag Force?

Velocity of Sphere given Drag Force calculator uses Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5)) to calculate the Mean Velocity, The Velocity of Sphere given Drag Force is defined as the terminal velocity attained by object in flow medium. Mean Velocity is denoted by V_mean symbol.

How to calculate Velocity of Sphere given Drag Force using this online calculator? To use this online calculator for Velocity of Sphere given Drag Force, enter Drag Force (F_D), Cross Sectional Area of Pipe (A), Coefficient of Drag (C_D) & Density of Fluid (ρ) and hit the calculate button. Here is how the Velocity of Sphere given Drag Force calculation can be explained with given input values -> 52.91503 = sqrt(1100/(2*0.01*1000*0.5)).

FAQ

What is Velocity of Sphere given Drag Force?

The Velocity of Sphere given Drag Force is defined as the terminal velocity attained by object in flow medium and is represented as V_mean = sqrt(F_D/(A*C_D*ρ*0.5)) or Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5)). Drag Force is the resisting force experienced by an object moving through a fluid, Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing, 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 & 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 Velocity of Sphere given Drag Force?

The Velocity of Sphere given Drag Force is defined as the terminal velocity attained by object in flow medium is calculated using Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5)). To calculate Velocity of Sphere given Drag Force, you need Drag Force (F_D), Cross Sectional Area of Pipe (A), Coefficient of Drag (C_D) & Density of Fluid (ρ). With our tool, you need to enter the respective value for Drag Force, Cross Sectional Area of Pipe, Coefficient of Drag & Density of Fluid 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 Mean Velocity?

In this formula, Mean Velocity uses Drag Force, Cross Sectional Area of Pipe, Coefficient of Drag & Density of Fluid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)
Mean Velocity = (24*Dynamic Viscosity)/(Density of Fluid*Coefficient of Drag*Diameter of Sphere)

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