Angular Speed of Outer Cylinder in Rotating Cylinder Method Calculator

✖The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.ⓘ Outer Radius of Cylinder [r₂]			+10% -10%
✖The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.ⓘ Inner Radius of Cylinder [r₁]			+10% -10%
✖Clearance or gap is the distance between two surfaces adjacent to each other.ⓘ Clearance [C]			+10% -10%
✖Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.ⓘ Torque Exerted on Wheel [τ]			+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 Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.ⓘ Initial Height of Liquid [H_i]			+10% -10%

✖Mean Speed in RPM is an average of individual vehicle speeds.ⓘ Angular Speed of Outer Cylinder in Rotating Cylinder Method [N]

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Angular Speed of Outer Cylinder in Rotating Cylinder Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
N = (2*(r₂-r₁)*C*τ)/(pi*r₁^2*μ*(4*H_i*C*r₂+r₁^2*(r₂-r₁)))
This formula uses 1 Constants, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Mean Speed in RPM - (Measured in Hertz) - Mean Speed in RPM is an average of individual vehicle speeds.
Outer Radius of Cylinder - (Measured in Meter) - The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.
Inner Radius of Cylinder - (Measured in Meter) - The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.
Clearance - (Measured in Meter) - Clearance or gap is the distance between two surfaces adjacent to each other.
Torque Exerted on Wheel - (Measured in Newton Meter) - Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Initial Height of Liquid - (Measured in Meter) - The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

STEP 1: Convert Input(s) to Base Unit

Outer Radius of Cylinder: 12.51 Meter --> 12.51 Meter No Conversion Required
Inner Radius of Cylinder: 1.52 Meter --> 1.52 Meter No Conversion Required
Clearance: 0.95 Meter --> 0.95 Meter No Conversion Required
Torque Exerted on Wheel: 49.99999 Newton Meter --> 49.99999 Newton Meter No Conversion Required
Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Initial Height of Liquid: 20.1 Meter --> 20.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (2*(r₂-r₁)*C*τ)/(pi*r₁^2*μ*(4*H_i*C*r₂+r₁^2*(r₂-r₁))) --> (2*(12.51-1.52)*0.95*49.99999)/(pi*1.52^2*8.23*(4*20.1*0.95*12.51+1.52^2*(12.51-1.52)))

Evaluating ... ...

N = 0.0178179336041858

STEP 3: Convert Result to Output's Unit

0.0178179336041858 Hertz -->1.06907601625115 Revolution per Minute (Check conversion here)

FINAL ANSWER

1.06907601625115 ≈ 1.069076 Revolution per Minute <-- Mean Speed in RPM

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Mechanical » Fluid Flow and Resistance » Angular Speed of Outer Cylinder in Rotating Cylinder Method

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Amrita School of Engineering (ASE), Vallikavu

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< Fluid Flow and Resistance Calculators

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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

Angular Speed of Outer Cylinder in Rotating Cylinder Method Formula

LaTeX Go

What is rotating cylinder method?

A method of measuring the viscosity of a fluid in which the fluid fills the space between two concentric cylinders and the torque on the stationary inner cylinder is measured when the outer cylinder is rotated at a constant speed.

What causes viscosity in fluids?

Viscosity is caused by friction within a fluid. It is the result of intermolecular forces between particles within a fluid.

How to Calculate Angular Speed of Outer Cylinder in Rotating Cylinder Method?

Angular Speed of Outer Cylinder in Rotating Cylinder Method calculator uses 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))) to calculate the Mean Speed in RPM, Angular Speed of Outer Cylinder in Rotating Cylinder Method, the angular speed of the outer cylinder is the rate at which the outer cylinder rotates. It is used to calculate the shear rate and determine the viscosity of the fluid based on the resistance encountered by the fluid as the cylinder rotates. Mean Speed in RPM is denoted by N symbol.

How to calculate Angular Speed of Outer Cylinder in Rotating Cylinder Method using this online calculator? To use this online calculator for Angular Speed of Outer Cylinder in Rotating Cylinder Method, enter Outer Radius of Cylinder (r₂), Inner Radius of Cylinder (r₁), Clearance (C), Torque Exerted on Wheel (τ), Viscosity of Fluid (μ) & Initial Height of Liquid (H_i) and hit the calculate button. Here is how the Angular Speed of Outer Cylinder in Rotating Cylinder Method calculation can be explained with given input values -> 64.14457 = (2*(12.51-1.52)*0.95*49.99999)/(pi*1.52^2*8.23*(4*20.1*0.95*12.51+1.52^2*(12.51-1.52))).

FAQ

What is Angular Speed of Outer Cylinder in Rotating Cylinder Method?

Angular Speed of Outer Cylinder in Rotating Cylinder Method, the angular speed of the outer cylinder is the rate at which the outer cylinder rotates. It is used to calculate the shear rate and determine the viscosity of the fluid based on the resistance encountered by the fluid as the cylinder rotates and is represented as N = (2*(r₂-r₁)*C*τ)/(pi*r₁^2*μ*(4*H_i*C*r₂+r₁^2*(r₂-r₁))) or 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))). The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder, The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder, Clearance or gap is the distance between two surfaces adjacent to each other, Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ, The Viscosity of fluid is a measure of its resistance to deformation at a given rate & The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

How to calculate Angular Speed of Outer Cylinder in Rotating Cylinder Method?

Angular Speed of Outer Cylinder in Rotating Cylinder Method, the angular speed of the outer cylinder is the rate at which the outer cylinder rotates. It is used to calculate the shear rate and determine the viscosity of the fluid based on the resistance encountered by the fluid as the cylinder rotates is calculated using 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))). To calculate Angular Speed of Outer Cylinder in Rotating Cylinder Method, you need Outer Radius of Cylinder (r₂), Inner Radius of Cylinder (r₁), Clearance (C), Torque Exerted on Wheel (τ), Viscosity of Fluid (μ) & Initial Height of Liquid (H_i). With our tool, you need to enter the respective value for Outer Radius of Cylinder, Inner Radius of Cylinder, Clearance, Torque Exerted on Wheel, Viscosity of Fluid & Initial Height of Liquid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Mean Speed in RPM?

In this formula, Mean Speed in RPM uses Outer Radius of Cylinder, Inner Radius of Cylinder, Clearance, Torque Exerted on Wheel, Viscosity of Fluid & Initial Height of Liquid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Mean Speed in RPM = (Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe)
Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel)
Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^4)

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