Resistance Force on Spherical Surface given Specific Weights Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistance Force = (pi/6)*(Diameter of Sphere^3)*(Specific Weight of Liquid)
Fresistance = (pi/6)*(DS^3)*(γf)
This formula uses 1 Constants, 3 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.
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.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
STEP 1: Convert Input(s) to Base Unit
Diameter of Sphere: 10 Meter --> 10 Meter No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fresistance = (pi/6)*(DS^3)*(γf) --> (pi/6)*(10^3)*(9.81)
Evaluating ... ...
Fresistance = 5136.50398861931
STEP 3: Convert Result to Output's Unit
5136.50398861931 Newton -->5.13650398861931 Kilonewton (Check conversion ​here)
FINAL ANSWER
5.13650398861931 5.136504 Kilonewton <-- Resistance Force
(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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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 given Specific Weights Formula

​LaTeX ​Go
Resistance Force = (pi/6)*(Diameter of Sphere^3)*(Specific Weight of Liquid)
Fresistance = (pi/6)*(DS^3)*(γf)

What is Specific Weight of Fluid?

In fluid mechanics, specific weight represents the force exerted by gravity on a unit volume of a fluid. For this reason, units are expressed as force per unit volume (e.g., N/m3 or lbf/ft3).

How to Calculate Resistance Force on Spherical Surface given Specific Weights?

Resistance Force on Spherical Surface given Specific Weights calculator uses Resistance Force = (pi/6)*(Diameter of Sphere^3)*(Specific Weight of Liquid) to calculate the Resistance Force, The Resistance Force on Spherical Surface given Specific Weights is defined as the total force exerted by the fluid on the object. Resistance Force is denoted by Fresistance symbol.

How to calculate Resistance Force on Spherical Surface given Specific Weights using this online calculator? To use this online calculator for Resistance Force on Spherical Surface given Specific Weights, enter Diameter of Sphere (DS) & Specific Weight of Liquid f) and hit the calculate button. Here is how the Resistance Force on Spherical Surface given Specific Weights calculation can be explained with given input values -> 5.136504 = (pi/6)*(10^3)*(9810).

FAQ

What is Resistance Force on Spherical Surface given Specific Weights?
The Resistance Force on Spherical Surface given Specific Weights is defined as the total force exerted by the fluid on the object and is represented as Fresistance = (pi/6)*(DS^3)*(γf) or Resistance Force = (pi/6)*(Diameter of Sphere^3)*(Specific Weight of Liquid). The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere & The Specific Weight of Liquid refers to the weight per unit volume of that substance.
How to calculate Resistance Force on Spherical Surface given Specific Weights?
The Resistance Force on Spherical Surface given Specific Weights is defined as the total force exerted by the fluid on the object is calculated using Resistance Force = (pi/6)*(Diameter of Sphere^3)*(Specific Weight of Liquid). To calculate Resistance Force on Spherical Surface given Specific Weights, you need Diameter of Sphere (DS) & Specific Weight of Liquid f). With our tool, you need to enter the respective value for Diameter of Sphere & Specific Weight of Liquid 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 Diameter of Sphere & Specific Weight of Liquid. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere
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