Velocity of Sphere given Resistance Force on Spherical Surface Calculator

✖The Resistance Force Value is equal to the external load applied at equilibrium.ⓘ Resistance Force [F_resistance]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.ⓘ Diameter of Sphere [D_S]			+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 Resistance Force on Spherical Surface [V_mean]

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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)
V_mean = F_resistance/(3*pi*μ*D_S)
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 refers to the internal resistance of a fluid to flow when a force is applied.
Diameter of Sphere - (Measured in Meter) - The Diameter of Sphere refers to 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

V_mean = F_resistance/(3*pi*μ*D_S) --> 970/(3*pi*1.02*10)

Evaluating ... ...

V_mean = 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 00.007 seconds)

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< Laminar Flow around a Sphere Stokes’ Law Calculators

Dynamic Viscosity of fluid given Resistance Force on Spherical Surface

LaTeX Go Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity)

Diameter of Sphere given Resistance Force on Spherical Surface

LaTeX Go Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)

Velocity of Sphere given Resistance Force on Spherical Surface

LaTeX Go Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)

Resistance Force on Spherical Surface

LaTeX Go Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere

Velocity of Sphere given Resistance Force on Spherical Surface Formula

LaTeX Go

Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)
V_mean = F_resistance/(3*pi*μ*D_S)

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 V_mean 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 (F_resistance), Dynamic Viscosity (μ) & Diameter of Sphere (D_S) 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 V_mean = F_resistance/(3*pi*μ*D_S) 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 refers to the internal resistance of a fluid to flow when a force is applied & The Diameter of Sphere refers to 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 (F_resistance), Dynamic Viscosity (μ) & Diameter of Sphere (D_S). 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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