Diameter of Sphere in Falling Sphere Resistance Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere)
d = FD/(3*pi*μ*U)
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 is considered in the falling sphere resistance method.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Velocity of Sphere - (Measured in Meter per Second) - The Velocity of Sphere is considered in the falling sphere resistance method.
STEP 1: Convert Input(s) to Base Unit
Drag Force: 80 Newton --> 80 Newton No Conversion Required
Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Velocity of Sphere: 4.1 Meter per Second --> 4.1 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = FD/(3*pi*μ*U) --> 80/(3*pi*8.23*4.1)
Evaluating ... ...
d = 0.251556282238324
STEP 3: Convert Result to Output's Unit
0.251556282238324 Meter --> No Conversion Required
FINAL ANSWER
0.251556282238324 0.251556 Meter <-- Diameter of Sphere
(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore
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19 Dimensions and Geometry Calculators

Radius of Capillary Tube
Go Radius of Capillary Tube = 1/2*((128*Viscosity of Fluid*Discharge in Capillary Tube*Length of Pipe)/(pi*Density of Liquid*[g]*Difference in Pressure Head))^(1/4)
Length of Tube in Capillary Tube Method
Go Length of Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius^4)/(128*Discharge in Capillary Tube*Viscosity of Fluid)
Diameter of Pipe for Loss of Pressure Head in Viscous Flow
Go Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head))
Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates
Go Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)
Length of Pipe for Loss of Pressure Head in Viscous Flow
Go Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)
External or Outer Radius of Collar for Total Torque
Go Outer Radius of Collar = (Inner Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)
Internal or Inner Radius of Collar for Total Torque
Go Inner Radius of Collar = (Outer Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)
Diameter of Pipe for Difference in Pressure in Viscous Flow
Go Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow))
Thickness of Oil Film for Shear Force in Journal Bearing
Go Thickness of Oil Film = (Viscosity of Fluid*pi^2*Shaft Diameter^2*Mean Speed in RPM*Length of Pipe)/(Shear Force)
Diameter of Pipe for Head Loss due to Friction in Viscous Flow
Go Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])
Length of Pipe for Head Loss due to Friction in Viscous Flow
Go Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2)
Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing
Go Thickness of Oil Film = (Viscosity of Fluid*pi*Shaft Diameter*Mean Speed in RPM)/(Shear Stress)
Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing
Go Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM)
Length for Difference of Pressure in Viscous Flow between Two Parallel Plates
Go Length of Pipe = (Pressure Difference in Viscous Flow*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)
Diameter of Shaft for Torque Required in Foot-Step Bearing
Go Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)
Thickness of Oil Film for Torque required in Foot-Step Bearing
Go Thickness of Oil Film = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Torque Exerted on Wheel
Length of Pipe for Difference of Pressure in Viscous Flow
Go Length of Pipe = (Pressure Difference in Viscous Flow*Diameter of Pipe^2)/(32*Viscosity of Oil*Average Velocity)
Diameter of Sphere in Falling Sphere Resistance Method
Go Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere)
Diameter of Pipe from Maximum Velocity and Velocity at Any Radius
Go Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity)

Diameter of Sphere in Falling Sphere Resistance Method Formula

Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere)
d = FD/(3*pi*μ*U)

What is falling sphere resistance method?

The falling ball viscometer typically measures the viscosity of Newtonian liquids and gases. The method applies Newton's law of motion under force balance on a falling sphere ball when it reaches a terminal velocity.

How Stoke's law is related here?

Stoke's law is the basis of the falling sphere viscometer, in which the fluid is stationary in a vertical glass tube. A sphere of known size and density is allowed to descend through the liquid.

How to Calculate Diameter of Sphere in Falling Sphere Resistance Method?

Diameter of Sphere in Falling Sphere Resistance Method calculator uses Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere) to calculate the Diameter of Sphere, The Diameter of sphere in falling sphere resistance method formula is known by considering the viscosity of fluid or oil, drag force, and sphere moving with a constant velocity 'U' based on Stoke's law. Diameter of Sphere is denoted by d symbol.

How to calculate Diameter of Sphere in Falling Sphere Resistance Method using this online calculator? To use this online calculator for Diameter of Sphere in Falling Sphere Resistance Method, enter Drag Force (FD), Viscosity of Fluid (μ) & Velocity of Sphere (U) and hit the calculate button. Here is how the Diameter of Sphere in Falling Sphere Resistance Method calculation can be explained with given input values -> 0.041255 = 80/(3*pi*8.23*4.1).

FAQ

What is Diameter of Sphere in Falling Sphere Resistance Method?
The Diameter of sphere in falling sphere resistance method formula is known by considering the viscosity of fluid or oil, drag force, and sphere moving with a constant velocity 'U' based on Stoke's law and is represented as d = FD/(3*pi*μ*U) or Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere). Drag Force is the resisting force experienced by an object moving through a fluid, The Viscosity of fluid is a measure of its resistance to deformation at a given rate & The Velocity of Sphere is considered in the falling sphere resistance method.
How to calculate Diameter of Sphere in Falling Sphere Resistance Method?
The Diameter of sphere in falling sphere resistance method formula is known by considering the viscosity of fluid or oil, drag force, and sphere moving with a constant velocity 'U' based on Stoke's law is calculated using Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere). To calculate Diameter of Sphere in Falling Sphere Resistance Method, you need Drag Force (FD), Viscosity of Fluid (μ) & Velocity of Sphere (U). With our tool, you need to enter the respective value for Drag Force, Viscosity of Fluid & Velocity of Sphere and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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