Resistance Force on Spherical Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere
Fresistance = 3*pi*μ*Vmean*DS
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion ​here)
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Diameter of Sphere: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fresistance = 3*pi*μ*Vmean*DS --> 3*pi*1.02*10.1*10
Evaluating ... ...
Fresistance = 970.940625518462
STEP 3: Convert Result to Output's Unit
970.940625518462 Newton -->0.970940625518461 Kilonewton (Check conversion ​here)
FINAL ANSWER
0.970940625518461 0.970941 Kilonewton <-- Resistance Force
(Calculation completed in 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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National Institute of Technology (NIT), Warangal
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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

Resistance Force on Spherical Surface Formula

​LaTeX ​Go
Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere
Fresistance = 3*pi*μ*Vmean*DS

What is Resistance Force?

Resistive force is a force, or the vector sum of numerous forces, whose direction is opposite to the motion of a body, and may refer to: Friction, during sliding and/or rolling.Normal force, exerted reactionally back on the acting body by the compressive, tensile or shear stress within the recipient body.

How to Calculate Resistance Force on Spherical Surface?

Resistance Force on Spherical Surface calculator uses Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere to calculate the Resistance Force, The Resistance Force on Spherical Surface is defined as the fluid with an external force against fluid force. Resistance Force is denoted by Fresistance symbol.

How to calculate Resistance Force on Spherical Surface using this online calculator? To use this online calculator for Resistance Force on Spherical Surface, enter Dynamic Viscosity (μ), Mean Velocity (Vmean) & Diameter of Sphere (DS) and hit the calculate button. Here is how the Resistance Force on Spherical Surface calculation can be explained with given input values -> 0.000971 = 3*pi*1.02*10.1*10.

FAQ

What is Resistance Force on Spherical Surface?
The Resistance Force on Spherical Surface is defined as the fluid with an external force against fluid force and is represented as Fresistance = 3*pi*μ*Vmean*DS or Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere. The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & 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 Resistance Force on Spherical Surface?
The Resistance Force on Spherical Surface is defined as the fluid with an external force against fluid force is calculated using Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere. To calculate Resistance Force on Spherical Surface, you need Dynamic Viscosity (μ), Mean Velocity (Vmean) & Diameter of Sphere (DS). With our tool, you need to enter the respective value for Dynamic Viscosity, Mean Velocity & 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 Resistance Force?
In this formula, Resistance Force uses Dynamic Viscosity, Mean Velocity & Diameter of Sphere. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Resistance Force = (pi/6)*(Diameter of Sphere^3)*(Specific Weight of Liquid)
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