Velocity of Sphere given Resistance Force on Spherical Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)
Vmean = Fresistance/(3*pi*μviscosity*DS)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Resistance Force - (Measured in Newton) - The Resistance Force Value is equal to the external load applied at equilibrium.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Diameter of Sphere - (Measured in Meter) - Diameter of Sphere is the longest line that is inside the sphere and that passes through the center of the sphere.
STEP 1: Convert Input(s) to Base Unit
Resistance Force: 0.97 Kilonewton --> 970 Newton (Check conversion here)
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Diameter of Sphere: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmean = Fresistance/(3*pi*μviscosity*DS) --> 970/(3*pi*1.02*10)
Evaluating ... ...
Vmean = 10.0902153463489
STEP 3: Convert Result to Output's Unit
10.0902153463489 Meter per Second --> No Conversion Required
FINAL ANSWER
10.0902153463489 10.09022 Meter per Second <-- Mean Velocity
(Calculation completed in 00.004 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 Resistance Force on Spherical Surface Formula

Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)
Vmean = Fresistance/(3*pi*μviscosity*DS)

What is Velocity of Sphere?

The terminal velocity of a sphere of radius r and density ρ , immersed in a liquid of density σ and viscosity η.

How to Calculate Velocity of Sphere given Resistance Force on Spherical Surface?

Velocity of Sphere given Resistance Force on Spherical Surface calculator uses Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere) to calculate the Mean Velocity, The Velocity of Sphere given Resistance Force on Spherical Surface is defined as the velocity of object in fluid in flow. Mean Velocity is denoted by Vmean symbol.

How to calculate Velocity of Sphere given Resistance Force on Spherical Surface using this online calculator? To use this online calculator for Velocity of Sphere given Resistance Force on Spherical Surface, enter Resistance Force (Fresistance), Dynamic Viscosity viscosity) & Diameter of Sphere (DS) and hit the calculate button. Here is how the Velocity of Sphere given Resistance Force on Spherical Surface calculation can be explained with given input values -> 10.09022 = 970/(3*pi*1.02*10) .

FAQ

What is Velocity of Sphere given Resistance Force on Spherical Surface?
The Velocity of Sphere given Resistance Force on Spherical Surface is defined as the velocity of object in fluid in flow and is represented as Vmean = Fresistance/(3*pi*μviscosity*DS) or Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere). The Resistance Force Value is equal to the external load applied at equilibrium, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied & Diameter of Sphere is the longest line that is inside the sphere and that passes through the center of the sphere.
How to calculate Velocity of Sphere given Resistance Force on Spherical Surface?
The Velocity of Sphere given Resistance Force on Spherical Surface is defined as the velocity of object in fluid in flow is calculated using Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere). To calculate Velocity of Sphere given Resistance Force on Spherical Surface, you need Resistance Force (Fresistance), Dynamic Viscosity viscosity) & Diameter of Sphere (DS). With our tool, you need to enter the respective value for Resistance Force, Dynamic Viscosity & Diameter of Sphere 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 Resistance Force, Dynamic Viscosity & Diameter of Sphere. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5))
  • Mean Velocity = (24*Dynamic Viscosity)/(Density of Fluid*Coefficient of Drag*Diameter of Sphere)
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