Drag Force in Falling Sphere Resistance Method Calculator

✖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 [d]			+10% -10%

✖Drag Force is the resisting force experienced by an object moving through a fluid.ⓘ Drag Force in Falling Sphere Resistance Method [F_D]

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Drag Force in Falling Sphere Resistance Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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

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
Diameter of Sphere: 0.25 Meter --> 0.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_D = 3*pi*μ*U*d --> 3*pi*8.23*4.1*0.25

Evaluating ... ...

F_D = 79.5050706825603

STEP 3: Convert Result to Output's Unit

79.5050706825603 Newton --> No Conversion Required

FINAL ANSWER

79.5050706825603 ≈ 79.50507 Newton <-- Drag Force

(Calculation completed in 00.020 seconds)

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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

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Drag Force in Falling Sphere Resistance Method

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

Drag Force in Falling Sphere Resistance Method Formula

LaTeX Go

Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere
F_D = 3*pi*μ*U*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 Drag Force in Falling Sphere Resistance Method?

Drag Force in Falling Sphere Resistance Method calculator uses Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere to calculate the Drag Force, Drag Force in Falling Sphere Resistance Method, the drag force is the resistance exerted by the fluid on the sphere as it falls. It is determined by the sphere's velocity, fluid viscosity, and sphere size. At terminal velocity, the drag force equals the gravitational force minus the buoyant force. Drag Force is denoted by F_D symbol.

How to calculate Drag Force in Falling Sphere Resistance Method using this online calculator? To use this online calculator for Drag Force in Falling Sphere Resistance Method, enter Viscosity of Fluid (μ), Velocity of Sphere (U) & Diameter of Sphere (d) and hit the calculate button. Here is how the Drag Force in Falling Sphere Resistance Method calculation can be explained with given input values -> 79.50507 = 3*pi*8.23*4.1*0.25.

FAQ

What is Drag Force in Falling Sphere Resistance Method?

Drag Force in Falling Sphere Resistance Method, the drag force is the resistance exerted by the fluid on the sphere as it falls. It is determined by the sphere's velocity, fluid viscosity, and sphere size. At terminal velocity, the drag force equals the gravitational force minus the buoyant force and is represented as F_D = 3*pi*μ*U*d or Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere. 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 & Diameter of Sphere is considered in the falling sphere resistance method.

How to calculate Drag Force in Falling Sphere Resistance Method?

Drag Force in Falling Sphere Resistance Method, the drag force is the resistance exerted by the fluid on the sphere as it falls. It is determined by the sphere's velocity, fluid viscosity, and sphere size. At terminal velocity, the drag force equals the gravitational force minus the buoyant force is calculated using Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere. To calculate Drag Force in Falling Sphere Resistance Method, you need Viscosity of Fluid (μ), Velocity of Sphere (U) & Diameter of Sphere (d). With our tool, you need to enter the respective value for Viscosity of Fluid, Velocity of Sphere & 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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