Velocity of Sphere in Falling Sphere Resistance Method Calculator

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

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

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Formula

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Velocity of Sphere in Falling Sphere Resistance Method

Formula

`"U" = "F"_{"D"}/(3*pi*"μ"*"d")`

Example

`"4.125523m/s"="80N"/(3*pi*"8.23N*s/m²"*"0.25m")`

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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) - The 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) - The Diameter 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)
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) --> 80/(3*pi*8.23*0.25)

Evaluating ... ...

U = 4.12552302870851

STEP 3: Convert Result to Output's Unit

4.12552302870851 Meter per Second --> No Conversion Required

FINAL ANSWER

4.12552302870851 ≈ 4.125523 Meter per Second <-- Velocity of Sphere

(Calculation completed in 00.004 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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< 21 Fluid Flow and Resistance Calculators

Total Torque Measured by Strain in Rotating Cylinder Method

Go Torque Exerted on Wheel = (Viscosity of Fluid*pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+(Inner Radius of Cylinder^2)*(Outer Radius of Cylinder-Inner Radius of Cylinder)))/(2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance)

Angular Speed of Outer Cylinder in Rotating Cylinder Method

Go Mean Speed in RPM = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Viscosity of Fluid*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder)))

Discharge in Capillary Tube Method

Go Discharge in Capillary Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius of Pipe^4)/(128*Viscosity of Fluid*Length of Pipe)

Rotational Speed for Torque Required in Collar Bearing

Go Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))

Torque Required to Overcome Viscous Resistance in Collar Bearing

Go Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film

Velocity of Piston or Body for Movement of Piston in Dash-Pot

Go Velocity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Viscosity of Fluid)

Shear Force or Viscous Resistance in Journal Bearing

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

Speed of Rotation for Shear Force in Journal Bearing

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

Shear Stress in Fluid or Oil of Journal Bearing

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

Rotational Speed for Torque Required in Foot-Step Bearing

Go Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^4)

Torque Required to Overcome Viscous Resistance in Foot-Step Bearing

Go Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Thickness of Oil Film

Velocity of Sphere in Falling Sphere Resistance Method

Go Velocity of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Diameter of Sphere)

Drag Force in Falling Sphere Resistance Method

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

Density of Fluid in Falling Sphere Resistance Method

Go Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g])

Buoyant Force in Falling Sphere Resistance Method

Go Buoyant Force = pi/6*Density of Liquid*[g]*Diameter of Sphere^3

Velocity at Any Radius given Radius of Pipe, and Maximum Velocity

Go Velocity of Fluid = Maximum Velocity*(1-(Radius of Pipe/(Pipe Diameter/2))^2)

Maximum Velocity at any Radius using Velocity

Go Maximum Velocity = Velocity of Fluid/(1-(Radius of Pipe/(Pipe Diameter/2))^2)

Rotational Speed considering Power Absorbed and Torque in Journal Bearing

Go Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel)

Torque Required Considering Power Absorbed in Journal Bearing

Go Torque Exerted on Wheel = Power Absorbed/(2*pi*Mean Speed in RPM)

Shear Force for Torque and Diameter of Shaft in Journal Bearing

Go Shear Force = Torque Exerted on Wheel/(Shaft Diameter/2)

Torque Required to Overcome Shear Force in Journal Bearing

Go Torque Exerted on Wheel = Shear Force*Shaft Diameter/2

Velocity of Sphere in Falling Sphere Resistance Method Formula

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 = 80/(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 & The 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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