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) - Diameter of Sphere is 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) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
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 00.004 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

Resistance Force on Spherical Surface given Specific Weights Formula

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). Diameter of Sphere is the longest line that is inside the sphere and that passes through the center of the sphere & Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
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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