Diameter 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%
✖Velocity of Sphere is considered in the falling sphere resistance method.ⓘ Velocity of Sphere [U]			+10% -10%

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

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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 = F_D/(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) - 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) - Velocity 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)
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 = F_D/(3*pi*μ*U) --> 79.50507/(3*pi*8.23*4.1)

Evaluating ... ...

d = 0.249999997853721

STEP 3: Convert Result to Output's Unit

0.249999997853721 Meter --> No Conversion Required

FINAL ANSWER

0.249999997853721 ≈ 0.25 Meter <-- Diameter of Sphere

(Calculation completed in 00.020 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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Diameter of Sphere in Falling Sphere Resistance Method Formula

LaTeX Go

Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere)
d = F_D/(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, Diameter of Sphere in Falling Sphere Resistance Method is determined by a formula that relates it to the viscosity of the fluid, the density of the sphere, the acceleration due to gravity, and the terminal velocity of the sphere in the fluid. This method is used to measure the viscosity of fluids by observing the rate at which a sphere falls through the fluid and reaches a steady velocity. 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 (F_D), 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 -> 0.251556 = 79.50507/(3*pi*8.23*4.1).

FAQ

What is Diameter of Sphere in Falling Sphere Resistance Method?

Diameter of Sphere in Falling Sphere Resistance Method is determined by a formula that relates it to the viscosity of the fluid, the density of the sphere, the acceleration due to gravity, and the terminal velocity of the sphere in the fluid. This method is used to measure the viscosity of fluids by observing the rate at which a sphere falls through the fluid and reaches a steady velocity and is represented as d = F_D/(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 & Velocity of Sphere is considered in the falling sphere resistance method.

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

Diameter of Sphere in Falling Sphere Resistance Method is determined by a formula that relates it to the viscosity of the fluid, the density of the sphere, the acceleration due to gravity, and the terminal velocity of the sphere in the fluid. This method is used to measure the viscosity of fluids by observing the rate at which a sphere falls through the fluid and reaches a steady velocity 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 (F_D), 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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