Diameter 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%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+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 given Resistance Force on Spherical Surface [D_S]

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Diameter of Sphere given Resistance Force on Spherical Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)
D_S = F_resistance/(3*pi*μ*V_mean)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

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)
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_S = F_resistance/(3*pi*μ*V_mean) --> 970/(3*pi*1.02*10.1)

Evaluating ... ...

D_S = 9.99031222410784

STEP 3: Convert Result to Output's Unit

9.99031222410784 Meter --> No Conversion Required

FINAL ANSWER

9.99031222410784 ≈ 9.990312 Meter <-- Diameter of Sphere

(Calculation completed in 00.031 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

Diameter of Sphere given Resistance Force on Spherical Surface Formula

LaTeX Go

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

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 Diameter of Sphere given Resistance Force on Spherical Surface?

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

How to calculate Diameter of Sphere given Resistance Force on Spherical Surface using this online calculator? To use this online calculator for Diameter of Sphere given Resistance Force on Spherical Surface, enter Resistance Force (F_resistance), Dynamic Viscosity (μ) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Diameter of Sphere given Resistance Force on Spherical Surface calculation can be explained with given input values -> 9.990312 = 970/(3*pi*1.02*10.1).

FAQ

What is Diameter of Sphere given Resistance Force on Spherical Surface?

The Diameter of Sphere given Resistance Force on Spherical Surface is defined as the sectional part of object in fluid and is represented as D_S = F_resistance/(3*pi*μ*V_mean) or Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity). 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 & Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

How to calculate Diameter of Sphere given Resistance Force on Spherical Surface?

The Diameter of Sphere given Resistance Force on Spherical Surface is defined as the sectional part of object in fluid is calculated using Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity). To calculate Diameter of Sphere given Resistance Force on Spherical Surface, you need Resistance Force (F_resistance), Dynamic Viscosity (μ) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Resistance Force, Dynamic Viscosity & Mean Velocity 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 Diameter of Sphere?

In this formula, Diameter of Sphere uses Resistance Force, Dynamic Viscosity & Mean Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid))
Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag)

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