Velocity of Sphere in Falling Sphere Resistance Method Calculator

✖Drag Force is the resisting force experienced by an object moving through a fluid.ⓘ Drag Force [F_D]			+10% -10%
✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖Diameter of Sphere is considered in the falling sphere resistance method.ⓘ Diameter of Sphere [d]			+10% -10%

✖Velocity of Sphere is considered in the falling sphere resistance method.ⓘ Velocity of Sphere in Falling Sphere Resistance Method [U]

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Velocity of Sphere in Falling Sphere Resistance Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Diameter of Sphere)
U = F_D/(3*pi*μ*d)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Velocity of Sphere - (Measured in Meter per Second) - Velocity 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.
Diameter of Sphere - (Measured in Meter) - Diameter of Sphere is considered in the falling sphere resistance method.

STEP 1: Convert Input(s) to Base Unit

Drag Force: 79.50507 Newton --> 79.50507 Newton No Conversion Required
Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Diameter of Sphere: 0.25 Meter --> 0.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = F_D/(3*pi*μ*d) --> 79.50507/(3*pi*8.23*0.25)

Evaluating ... ...

U = 4.09999996480102

STEP 3: Convert Result to Output's Unit

4.09999996480102 Meter per Second --> No Conversion Required

FINAL ANSWER

4.09999996480102 ≈ 4.1 Meter per Second <-- Velocity of Sphere

(Calculation completed in 00.007 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Mechanical » Fluid Flow and Resistance » Velocity of Sphere in Falling Sphere Resistance Method

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< Fluid Flow and Resistance Calculators

Discharge in Capillary Tube Method

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Shear Force or Viscous Resistance in Journal Bearing

LaTeX Go Shear Force = (pi^2*Viscosity of Fluid*Mean Speed in RPM*Length of Pipe*Shaft Diameter^2)/(Thickness of Oil Film)

Shear Stress in Fluid or Oil of Journal Bearing

LaTeX Go Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film)

Drag Force in Falling Sphere Resistance Method

LaTeX Go Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere

Velocity of Sphere in Falling Sphere Resistance Method Formula

LaTeX Go

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

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 does a falling ball viscometer work?

The classic falling-ball viscometer works according to the Hoeppler principle. It measures the time a ball takes to move through the sample liquid. To obtain viscosity values, a calibration with a viscosity reference standard and the sample's density is required.

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

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

How to calculate Velocity of Sphere in Falling Sphere Resistance Method using this online calculator? To use this online calculator for Velocity of Sphere in Falling Sphere Resistance Method, enter Drag Force (F_D), Viscosity of Fluid (μ) & Diameter of Sphere (d) and hit the calculate button. Here is how the Velocity of Sphere in Falling Sphere Resistance Method calculation can be explained with given input values -> 4.125523 = 79.50507/(3*pi*8.23*0.25).

FAQ

What is Velocity of Sphere in Falling Sphere Resistance Method?

The Velocity of sphere in falling sphere resistance method formula is known by considering the viscosity of fluid or oil, the sphere's diameter, and the drag force and is represented as U = F_D/(3*pi*μ*d) or Velocity of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Diameter 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 & Diameter of Sphere is considered in the falling sphere resistance method.

How to calculate Velocity of Sphere in Falling Sphere Resistance Method?

The Velocity of sphere in falling sphere resistance method formula is known by considering the viscosity of fluid or oil, the sphere's diameter, and the drag force is calculated using Velocity of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Diameter of Sphere). To calculate Velocity of Sphere in Falling Sphere Resistance Method, you need Drag Force (F_D), Viscosity of Fluid (μ) & Diameter of Sphere (d). With our tool, you need to enter the respective value for Drag Force, Viscosity of Fluid & Diameter 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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